diff --git a/asterixdb/asterix-app/src/test/resources/optimizerts/queries/aggregate/serial-agg.sqlpp b/asterixdb/asterix-app/src/test/resources/optimizerts/queries/aggregate/serial-agg.sqlpp
index 016921d..425902c 100644
--- a/asterixdb/asterix-app/src/test/resources/optimizerts/queries/aggregate/serial-agg.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/optimizerts/queries/aggregate/serial-agg.sqlpp
@@ -32,7 +32,7 @@
 
 create  dataset Test(TestType) primary key id;
 
-select gid, stddev(t.val) as stddev
+select gid, stddev_samp(t.val) as stddev
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/agg_null/agg_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/agg_null/agg_null.3.query.sqlpp
index bb5957a..7fb3c5c 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/agg_null/agg_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/agg_null/agg_null.3.query.sqlpp
@@ -22,4 +22,4 @@
 * Date         : Feb 7th 2014
 */
 
-{'sql-count1':array_count([null]),'average1':array_avg([null]),'sql-sum1':array_sum([null]),'sql-min1':array_min([null]),'sql-max1':array_max([null]),'sql-stddev1':array_stddev([null]),'sql-stddev_pop1':array_stddev_pop([null]),'sql-var1':array_var([null]),'sql-var_pop1':array_var_pop([null]),'sql-count2':array_count({{null,null}}),'average2':array_avg({{null,null}}),'sql-sum2':array_sum({{null,null}}),'sql-min2':array_min({{null,null}}),'sql-max2':array_max({{null,null}}),'sql-stddev2':array_stddev({{null,null}}),'sql-stddev_pop2':array_stddev_pop({{null,null}}),'sql-var2':array_var({{null,null}}),'sql-var_pop2':array_var_pop({{null,null}})};
+{'sql-count1':array_count([null]),'average1':array_avg([null]),'sql-sum1':array_sum([null]),'sql-min1':array_min([null]),'sql-max1':array_max([null]),'sql-stddev_samp1':array_stddev_samp([null]),'sql-stddev_pop1':array_stddev_pop([null]),'sql-var_samp1':array_var_samp([null]),'sql-var_pop1':array_var_pop([null]),'sql-skewness1':array_skewness([null]),'sql-kurtosis1':array_kurtosis([null]),'sql-count2':array_count({{null,null}}),'average2':array_avg({{null,null}}),'sql-sum2':array_sum({{null,null}}),'sql-min2':array_min({{null,null}}),'sql-max2':array_max({{null,null}}),'sql-stddev_samp2':array_stddev_samp({{null,null}}),'sql-stddev_pop2':array_stddev_pop({{null,null}}),'sql-var_samp2':array_var_samp({{null,null}}),'sql-var_pop2':array_var_pop({{null,null}}),'sql-skewness2':array_skewness({{null,null}}),'sql-kurtosis2':array_kurtosis({{null,null}})};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/agg_null_rec/agg_null_rec.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/agg_null_rec/agg_null_rec.3.query.sqlpp
index 126209d..da1619a 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/agg_null_rec/agg_null_rec.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/agg_null_rec/agg_null_rec.3.query.sqlpp
@@ -40,16 +40,22 @@
 )),'sql-max':test.array_max((
     select element t.valplus
     from  Test as t
-)),'sql-stddev':test.array_stddev((
+)),'sql-stddev_samp':test.array_stddev_samp((
     select element t.valplus
     from  Test as t
 )),'sql-stddev_pop':test.array_stddev_pop((
     select element t.valplus
     from  Test as t
-)),'sql-var':test.array_var((
+)),'sql-var_samp':test.array_var_samp((
     select element t.valplus
     from  Test as t
 )),'sql-var_pop':test.array_var_pop((
     select element t.valplus
     from  Test as t
+)),'sql-skewness':test.array_skewness((
+    select element t.valplus
+    from  Test as t
+)),'sql-kurtosis':test.array_kurtosis((
+    select element t.valplus
+    from  Test as t
 ))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/agg_null_rec_1/agg_null_rec_1.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/agg_null_rec_1/agg_null_rec_1.3.query.sqlpp
index 47df03f..8101238 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/agg_null_rec_1/agg_null_rec_1.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/agg_null_rec_1/agg_null_rec_1.3.query.sqlpp
@@ -52,7 +52,7 @@
         select element t
         from  Test as t
     ) as i
-)),'sql-stddev':test.array_stddev((
+)),'sql-stddev_samp':test.array_stddev_samp((
     select element i.valplus
     from  (
         select element t
@@ -64,7 +64,7 @@
         select element t
         from  Test as t
     ) as i
-)),'sql-var':test.array_var((
+)),'sql-var_samp':test.array_var_samp((
     select element i.valplus
     from  (
         select element t
@@ -76,4 +76,16 @@
         select element t
         from  Test as t
     ) as i
+)),'sql-skewness':test.array_skewness((
+    select element i.valplus
+    from  (
+        select element t
+        from  Test as t
+    ) as i
+)),'sql-kurtosis':test.array_kurtosis((
+    select element i.valplus
+    from  (
+        select element t
+        from  Test as t
+    ) as i
 ))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/agg_number/agg_number.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/agg_number/agg_number.3.query.sqlpp
index 775e103..2393614 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/agg_number/agg_number.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/agg_number/agg_number.3.query.sqlpp
@@ -22,4 +22,4 @@
 * Date         : Feb 7th 2014
 */
 
-{'sql-count1':array_count([float('2.0'),double('3.0'),93847382783847382,1]),'average1':array_avg([float('2.0'),double('3.0'),93847382783847382,1]),'sql-sum1':array_sum([float('2.0'),double('3.0'),93847382783847382,1]),'sql-min1':array_min([float('2.0'),double('3.0'),93847382783847382,1]),'sql-max1':array_max([float('2.0'),double('3.0'),93847382783847382,1]),'sql-stddev1':array_stddev([float('2.0'),double('3.0'),93847382783847382,1]),'sql-stddev_pop1':array_stddev_pop([float('2.0'),double('3.0'),93847382783847382,1]),'sql-var1':array_var([float('2.0'),double('3.0'),93847382783847382,1]),'sql-var_pop1':array_var_pop([float('2.0'),double('3.0'),93847382783847382,1]),'sql-count2':array_count({{float('2.0'),double('3.0'),93847382783847382,1}}),'average2':array_avg({{float('2.0'),double('3.0'),93847382783847382,1}}),'sql-sum2':array_sum({{float('2.0'),double('3.0'),93847382783847382,1}}),'sql-min2':array_min({{float('2.0'),double('3.0'),93847382783847382,1}}),'sql-max2':array_max({{float('2.0'),double('3.0'),93847382783847382,1}}),'sql-stddev2':array_stddev({{float('2.0'),double('3.0'),93847382783847382,1}}),'sql-stddev_pop2':array_stddev_pop({{float('2.0'),double('3.0'),93847382783847382,1}}),'sql-var2':array_var({{float('2.0'),double('3.0'),93847382783847382,1}}),'sql-var_pop2':array_var_pop({{float('2.0'),double('3.0'),93847382783847382,1}})};
+{'sql-count1':array_count([float('2.0'),double('3.0'),93847382783847382,1]),'average1':array_avg([float('2.0'),double('3.0'),93847382783847382,1]),'sql-sum1':array_sum([float('2.0'),double('3.0'),93847382783847382,1]),'sql-min1':array_min([float('2.0'),double('3.0'),93847382783847382,1]),'sql-max1':array_max([float('2.0'),double('3.0'),93847382783847382,1]),'sql-stddev_samp1':array_stddev_samp([float('2.0'),double('3.0'),93847382783847382,1]),'sql-stddev_pop1':array_stddev_pop([float('2.0'),double('3.0'),93847382783847382,1]),'sql-var_samp1':array_var_samp([float('2.0'),double('3.0'),93847382783847382,1]),'sql-var_pop1':array_var_pop([float('2.0'),double('3.0'),93847382783847382,1]),'sql-skewness1':array_skewness([float('2.0'),double('3.0'),93847382783847382,1]),'sql-kurtosis1':array_kurtosis([float('2.0'),double('3.0'),93847382783847382,1]),'sql-count2':array_count({{float('2.0'),double('3.0'),93847382783847382,1}}),'average2':array_avg({{float('2.0'),double('3.0'),93847382783847382,1}}),'sql-sum2':array_sum({{float('2.0'),double('3.0'),93847382783847382,1}}),'sql-min2':array_min({{float('2.0'),double('3.0'),93847382783847382,1}}),'sql-max2':array_max({{float('2.0'),double('3.0'),93847382783847382,1}}),'sql-stddev_samp2':array_stddev_samp({{float('2.0'),double('3.0'),93847382783847382,1}}),'sql-stddev_pop2':array_stddev_pop({{float('2.0'),double('3.0'),93847382783847382,1}}),'sql-var_samp2':array_var_samp({{float('2.0'),double('3.0'),93847382783847382,1}}),'sql-var_pop2':array_var_pop({{float('2.0'),double('3.0'),93847382783847382,1}}),'sql-skewness2':array_skewness({{float('2.0'),double('3.0'),93847382783847382,1}}),'sql-kurtosis2':array_kurtosis({{float('2.0'),double('3.0'),93847382783847382,1}})};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/agg_number_rec/agg_number_rec.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/agg_number_rec/agg_number_rec.3.query.sqlpp
index d08777d..c437925 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/agg_number_rec/agg_number_rec.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/agg_number_rec/agg_number_rec.3.query.sqlpp
@@ -40,16 +40,22 @@
 )),'sql-max':test.array_max((
     select element t.valplus
     from  Test as t
-)),'sql-stddev':test.array_stddev((
+)),'sql-stddev_samp':test.array_stddev_samp((
     select element t.valplus
     from  Test as t
 )),'sql-stddev_pop':test.array_stddev_pop((
     select element t.valplus
     from  Test as t
-)),'sql-var':test.array_var((
+)),'sql-var_samp':test.array_var_samp((
     select element t.valplus
     from  Test as t
 )),'sql-var_pop':test.array_var_pop((
     select element t.valplus
     from  Test as t
+)),'sql-skewness':test.array_skewness((
+    select element t.valplus
+    from  Test as t
+)),'sql-kurtosis':test.array_kurtosis((
+    select element t.valplus
+    from  Test as t
 ))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_distinct/kurtosis_distinct.1.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_distinct/kurtosis_distinct.1.query.sqlpp
new file mode 100644
index 0000000..a7596a8
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_distinct/kurtosis_distinct.1.query.sqlpp
@@ -0,0 +1,24 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+ {
+   't1': to_bigint(array_kurtosis(distinct [10,20,30,10,20,30,10])),
+   't2': to_bigint(array_kurtosis(distinct [null,missing,null,missing])),
+   't3': to_bigint(array_kurtosis(distinct [40,null,missing,50,40,null,missing,50,40])),
+   't4': to_bigint(array_kurtosis(distinct []))
+ }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_double/kurtosis_double.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_double/kurtosis_double.1.ddl.sqlpp
new file mode 100644
index 0000000..ad97753
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_double/kurtosis_double.1.ddl.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_double/kurtosis_double.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_double/kurtosis_double.3.query.sqlpp
new file mode 100644
index 0000000..4dc057f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_double/kurtosis_double.3.query.sqlpp
@@ -0,0 +1,23 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+select element array_kurtosis((
+    select element x
+    from  [1.0,2.0,double('3.0')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_double_null/kurtosis_double_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_double_null/kurtosis_double_null.1.ddl.sqlpp
new file mode 100644
index 0000000..3f2c5bf
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_double_null/kurtosis_double_null.1.ddl.sqlpp
@@ -0,0 +1,38 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.NumericType as
+{
+  id : integer,
+  int8Field : tinyint?,
+  int16Field : smallint?,
+  int32Field : integer?,
+  int64Field : bigint?,
+  floatField : float?,
+  doubleField : double?
+};
+
+create external  dataset Numeric(NumericType) using localfs((`path`=`asterix_nc1://data/nontagged/numericData.json`),(`format`=`adm`));
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_double_null/kurtosis_double_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_double_null/kurtosis_double_null.3.query.sqlpp
new file mode 100644
index 0000000..fdfbff6
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_double_null/kurtosis_double_null.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'kurtosis':test.array_kurtosis((
+    select element x.doubleField
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_empty_01/kurtosis_empty_01.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_empty_01/kurtosis_empty_01.1.ddl.sqlpp
new file mode 100644
index 0000000..fc97cef
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_empty_01/kurtosis_empty_01.1.ddl.sqlpp
@@ -0,0 +1,27 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests that kurtosis aggregation correctly returns null for an empty stream,
+ *                  without an aggregate combiner.
+ * Success        : Yes
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_empty_01/kurtosis_empty_01.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_empty_01/kurtosis_empty_01.3.query.sqlpp
new file mode 100644
index 0000000..6b1ed5f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_empty_01/kurtosis_empty_01.3.query.sqlpp
@@ -0,0 +1,32 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests that array_kurtosis aggregation correctly returns null for an empty stream,
+ *                  without an aggregate combiner.
+ * Success        : Yes
+ */
+
+use test;
+
+
+select element test.array_kurtosis((
+    select element x
+    from  [1,2,3] as x
+    where (x > 10)
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_empty_02/kurtosis_empty_02.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_empty_02/kurtosis_empty_02.1.ddl.sqlpp
new file mode 100644
index 0000000..5f64188
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_empty_02/kurtosis_empty_02.1.ddl.sqlpp
@@ -0,0 +1,38 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests that kurtosis aggregation correctly returns null for an empty stream,
+ *                  with an aggregate combiner.
+ * Success        : Yes
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+ closed {
+  id : bigint,
+  val : double
+};
+
+create  dataset Test(TestType) primary key id;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_empty_02/kurtosis_empty_02.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_empty_02/kurtosis_empty_02.3.query.sqlpp
new file mode 100644
index 0000000..b9958ba
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_empty_02/kurtosis_empty_02.3.query.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests that array_kurtosis aggregation correctly returns null for an empty stream,
+ *                  with an aggregate combiner.
+ * Success        : Yes
+ */
+
+use test;
+
+
+select element test.array_kurtosis((
+    select element x.val
+    from  Test as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_float/kurtosis_float.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_float/kurtosis_float.1.ddl.sqlpp
new file mode 100644
index 0000000..21479a2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_float/kurtosis_float.1.ddl.sqlpp
@@ -0,0 +1,22 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_float/kurtosis_float.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_float/kurtosis_float.3.query.sqlpp
new file mode 100644
index 0000000..b288552
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_float/kurtosis_float.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+select element test.array_kurtosis((
+    select element x
+    from  [test.float('1'),test.float('2'),test.float('3')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_float_null/kurtosis_float_null.1.ddl.sqlpp
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ddl.sqlpp
copy to asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_float_null/kurtosis_float_null.1.ddl.sqlpp
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_float_null/kurtosis_float_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_float_null/kurtosis_float_null.3.query.sqlpp
new file mode 100644
index 0000000..b21cd00
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_float_null/kurtosis_float_null.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'kurtosis':test.array_kurtosis((
+    select element x.floatField
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int16/kurtosis_int16.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int16/kurtosis_int16.1.ddl.sqlpp
new file mode 100644
index 0000000..21479a2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int16/kurtosis_int16.1.ddl.sqlpp
@@ -0,0 +1,22 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int16/kurtosis_int16.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int16/kurtosis_int16.3.query.sqlpp
new file mode 100644
index 0000000..282ca8d
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int16/kurtosis_int16.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+select element test.array_kurtosis((
+    select element x
+    from  [test.smallint('1'),test.smallint('2'),test.smallint('3')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int16_null/kurtosis_int16_null.1.ddl.sqlpp
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ddl.sqlpp
copy to asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int16_null/kurtosis_int16_null.1.ddl.sqlpp
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int16_null/kurtosis_int16_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int16_null/kurtosis_int16_null.3.query.sqlpp
new file mode 100644
index 0000000..b06c343
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int16_null/kurtosis_int16_null.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'kurtosis':test.array_kurtosis((
+    select element x.int16Field
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int32/kurtosis_int32.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int32/kurtosis_int32.1.ddl.sqlpp
new file mode 100644
index 0000000..21479a2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int32/kurtosis_int32.1.ddl.sqlpp
@@ -0,0 +1,22 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int32/kurtosis_int32.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int32/kurtosis_int32.3.query.sqlpp
new file mode 100644
index 0000000..06bcc07
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int32/kurtosis_int32.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+select element test.array_kurtosis((
+    select element x
+    from  [test.integer('1'),test.integer('2'),test.integer('3')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int32_null/kurtosis_int32_null.1.ddl.sqlpp
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ddl.sqlpp
copy to asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int32_null/kurtosis_int32_null.1.ddl.sqlpp
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int32_null/kurtosis_int32_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int32_null/kurtosis_int32_null.3.query.sqlpp
new file mode 100644
index 0000000..45be3e1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int32_null/kurtosis_int32_null.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'kurtosis':test.array_kurtosis((
+    select element x.int32Field
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int64/kurtosis_int64.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int64/kurtosis_int64.1.ddl.sqlpp
new file mode 100644
index 0000000..21479a2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int64/kurtosis_int64.1.ddl.sqlpp
@@ -0,0 +1,22 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int64/kurtosis_int64.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int64/kurtosis_int64.3.query.sqlpp
new file mode 100644
index 0000000..6d26557
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int64/kurtosis_int64.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+select element test.array_kurtosis((
+    select element x
+    from  [test.bigint('1'),test.bigint('2'),test.bigint('3')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int64_null/kurtosis_int64_null.1.ddl.sqlpp
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ddl.sqlpp
copy to asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int64_null/kurtosis_int64_null.1.ddl.sqlpp
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int64_null/kurtosis_int64_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int64_null/kurtosis_int64_null.3.query.sqlpp
new file mode 100644
index 0000000..6ddb9dc
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int64_null/kurtosis_int64_null.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'kurtosis':test.array_kurtosis((
+    select element x.int64Field
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int8/kurtosis_int8.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int8/kurtosis_int8.1.ddl.sqlpp
new file mode 100644
index 0000000..21479a2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int8/kurtosis_int8.1.ddl.sqlpp
@@ -0,0 +1,22 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int8/kurtosis_int8.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int8/kurtosis_int8.3.query.sqlpp
new file mode 100644
index 0000000..6e9e1f7
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int8/kurtosis_int8.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+select element test.array_kurtosis((
+    select element x
+    from  [test.tinyint('1'),test.tinyint('2'),test.tinyint('3')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int8_null/kurtosis_int8_null.1.ddl.sqlpp
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ddl.sqlpp
copy to asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int8_null/kurtosis_int8_null.1.ddl.sqlpp
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int8_null/kurtosis_int8_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int8_null/kurtosis_int8_null.3.query.sqlpp
new file mode 100644
index 0000000..7ddd8dc
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_int8_null/kurtosis_int8_null.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'kurtosis':test.array_kurtosis((
+    select element x.int8Field
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_mixed/kurtosis_mixed.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_mixed/kurtosis_mixed.3.query.sqlpp
new file mode 100644
index 0000000..638fb06
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/kurtosis_mixed/kurtosis_mixed.3.query.sqlpp
@@ -0,0 +1,28 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+* Description  : Run array_kurtosis over an multiset with mixed types
+* Expected Res : Failure
+* Date         : Feb 7th 2014
+*/
+
+select element array_kurtosis((
+    select element x
+    from  [float('2.0'),'hello world',93847382783847382,date('2013-01-01')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_kurtosis/scalar_kurtosis.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_kurtosis/scalar_kurtosis.1.ddl.sqlpp
new file mode 100644
index 0000000..37a6cc0
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_kurtosis/scalar_kurtosis.1.ddl.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests the scalar version of kurtosis without nulls.
+ * Success        : Yes
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_kurtosis/scalar_kurtosis.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_kurtosis/scalar_kurtosis.3.query.sqlpp
new file mode 100644
index 0000000..a7de548
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_kurtosis/scalar_kurtosis.3.query.sqlpp
@@ -0,0 +1,35 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests the scalar version of array_kurtosis without nulls.
+ * Success        : Yes
+ */
+
+use test;
+
+
+with  i8 as test.array_kurtosis([test.tinyint('1'),test.tinyint('2'),test.tinyint('3')]),
+      i16 as test.array_kurtosis([test.smallint('1'),test.smallint('2'),test.smallint('3')]),
+      i32 as test.array_kurtosis([test.integer('1'),test.integer('2'),test.integer('3')]),
+      i64 as test.array_kurtosis([test.bigint('1'),test.bigint('2'),test.bigint('3')]),
+      f as test.array_kurtosis([test.float('1'),test.float('2'),test.float('3')]),
+      d as test.array_kurtosis([test.double('1'),test.double('2'),test.double('3')])
+select element i
+from  [i8,i16,i32,i64,f,d] as i
+;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_kurtosis_empty/scalar_kurtosis_empty.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_kurtosis_empty/scalar_kurtosis_empty.1.ddl.sqlpp
new file mode 100644
index 0000000..090d927
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_kurtosis_empty/scalar_kurtosis_empty.1.ddl.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests the scalar version of kurtosis with an empty list.
+ * Success        : Yes
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_kurtosis_empty/scalar_kurtosis_empty.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_kurtosis_empty/scalar_kurtosis_empty.3.query.sqlpp
new file mode 100644
index 0000000..1e97b5c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_kurtosis_empty/scalar_kurtosis_empty.3.query.sqlpp
@@ -0,0 +1,24 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests the scalar version of array_kurtosis with an empty list.
+ * Success        : Yes
+ */
+
+select element array_kurtosis([]);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_kurtosis_null/scalar_kurtosis_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_kurtosis_null/scalar_kurtosis_null.1.ddl.sqlpp
new file mode 100644
index 0000000..b7b457f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_kurtosis_null/scalar_kurtosis_null.1.ddl.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests the scalar version of kurtosis with nulls.
+ * Success        : Yes
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_kurtosis_null/scalar_kurtosis_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_kurtosis_null/scalar_kurtosis_null.3.query.sqlpp
new file mode 100644
index 0000000..6433170
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_kurtosis_null/scalar_kurtosis_null.3.query.sqlpp
@@ -0,0 +1,35 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests the scalar version of array_kurtosis with nulls.
+ * Success        : Yes
+ */
+
+use test;
+
+
+with  i8 as test.array_kurtosis([test.tinyint('1'),test.tinyint('2'),test.tinyint('3'),null]),
+      i16 as test.array_kurtosis([test.smallint('1'),test.smallint('2'),test.smallint('3'),null]),
+      i32 as test.array_kurtosis([test.integer('1'),test.integer('2'),test.integer('3'),null]),
+      i64 as test.array_kurtosis([test.bigint('1'),test.bigint('2'),test.bigint('3'),null]),
+      f as test.array_kurtosis([test.float('1'),test.float('2'),test.float('3'),null]),
+      d as test.array_kurtosis([test.double('1'),test.double('2'),test.double('3'),null])
+select element i
+from  [i8,i16,i32,i64,f,d] as i
+;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_skewness/scalar_skewness.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_skewness/scalar_skewness.1.ddl.sqlpp
new file mode 100644
index 0000000..cdc53b6
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_skewness/scalar_skewness.1.ddl.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests the scalar version of skewness without nulls.
+ * Success        : Yes
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_skewness/scalar_skewness.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_skewness/scalar_skewness.3.query.sqlpp
new file mode 100644
index 0000000..c5b0553
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_skewness/scalar_skewness.3.query.sqlpp
@@ -0,0 +1,35 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests the scalar version of array_skewness without nulls.
+ * Success        : Yes
+ */
+
+use test;
+
+
+with  i8 as test.array_skewness([test.tinyint('1'),test.tinyint('2'),test.tinyint('3')]),
+      i16 as test.array_skewness([test.smallint('1'),test.smallint('2'),test.smallint('3')]),
+      i32 as test.array_skewness([test.integer('1'),test.integer('2'),test.integer('3')]),
+      i64 as test.array_skewness([test.bigint('1'),test.bigint('2'),test.bigint('3')]),
+      f as test.array_skewness([test.float('1'),test.float('2'),test.float('3')]),
+      d as test.array_skewness([test.double('1'),test.double('2'),test.double('3')])
+select element i
+from  [i8,i16,i32,i64,f,d] as i
+;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_skewness_empty/scalar_skewness_empty.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_skewness_empty/scalar_skewness_empty.1.ddl.sqlpp
new file mode 100644
index 0000000..94f1e08
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_skewness_empty/scalar_skewness_empty.1.ddl.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests the scalar version of skewness with an empty list.
+ * Success        : Yes
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_skewness_empty/scalar_skewness_empty.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_skewness_empty/scalar_skewness_empty.3.query.sqlpp
new file mode 100644
index 0000000..6620458
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_skewness_empty/scalar_skewness_empty.3.query.sqlpp
@@ -0,0 +1,24 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests the scalar version of array_skewness with an empty list.
+ * Success        : Yes
+ */
+
+select element array_skewness([]);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_skewness_null/scalar_skewness_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_skewness_null/scalar_skewness_null.1.ddl.sqlpp
new file mode 100644
index 0000000..f6d0e40
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_skewness_null/scalar_skewness_null.1.ddl.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests the scalar version of skewness with nulls.
+ * Success        : Yes
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_skewness_null/scalar_skewness_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_skewness_null/scalar_skewness_null.3.query.sqlpp
new file mode 100644
index 0000000..0ad361d
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_skewness_null/scalar_skewness_null.3.query.sqlpp
@@ -0,0 +1,35 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests the scalar version of array_skewness with nulls.
+ * Success        : Yes
+ */
+
+use test;
+
+
+with  i8 as test.array_skewness([test.tinyint('1'),test.tinyint('2'),test.tinyint('3'),null]),
+      i16 as test.array_skewness([test.smallint('1'),test.smallint('2'),test.smallint('3'),null]),
+      i32 as test.array_skewness([test.integer('1'),test.integer('2'),test.integer('3'),null]),
+      i64 as test.array_skewness([test.bigint('1'),test.bigint('2'),test.bigint('3'),null]),
+      f as test.array_skewness([test.float('1'),test.float('2'),test.float('3'),null]),
+      d as test.array_skewness([test.double('1'),test.double('2'),test.double('3'),null])
+select element i
+from  [i8,i16,i32,i64,f,d] as i
+;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_stddev/scalar_stddev.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_stddev/scalar_stddev.1.ddl.sqlpp
index 7049419..a49af36 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_stddev/scalar_stddev.1.ddl.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_stddev/scalar_stddev.1.ddl.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 /*
- * Description    : Tests the scalar version of stddev and stddev_pop without nulls.
+ * Description    : Tests the scalar version of stddev_samp and stddev_pop without nulls.
  * Success        : Yes
  */
 
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_stddev/scalar_stddev.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_stddev/scalar_stddev.3.query.sqlpp
index 061da60..ac3cda1 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_stddev/scalar_stddev.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_stddev/scalar_stddev.3.query.sqlpp
@@ -17,18 +17,18 @@
  * under the License.
  */
 /*
- * Description    : Tests the scalar version of stddev and stddev_pop without nulls.
+ * Description    : Tests the scalar version of stddev_samp and stddev_pop without nulls.
  * Success        : Yes
  */
 
 use test;
 
-{'stddev': (with  i8 as test.array_stddev([test.tinyint('1'),test.tinyint('2'),test.tinyint('3')]),
-      i16 as test.array_stddev([test.smallint('1'),test.smallint('2'),test.smallint('3')]),
-      i32 as test.array_stddev([test.integer('1'),test.integer('2'),test.integer('3')]),
-      i64 as test.array_stddev([test.bigint('1'),test.bigint('2'),test.bigint('3')]),
-      f as test.array_stddev([test.float('1'),test.float('2'),test.float('3')]),
-      d as test.array_stddev([test.double('1'),test.double('2'),test.double('3')])
+{'stddev_samp': (with  i8 as test.array_stddev_samp([test.tinyint('1'),test.tinyint('2'),test.tinyint('3')]),
+      i16 as test.array_stddev_samp([test.smallint('1'),test.smallint('2'),test.smallint('3')]),
+      i32 as test.array_stddev_samp([test.integer('1'),test.integer('2'),test.integer('3')]),
+      i64 as test.array_stddev_samp([test.bigint('1'),test.bigint('2'),test.bigint('3')]),
+      f as test.array_stddev_samp([test.float('1'),test.float('2'),test.float('3')]),
+      d as test.array_stddev_samp([test.double('1'),test.double('2'),test.double('3')])
 select element i
 from  [i8,i16,i32,i64,f,d] as i),
 'stddev_pop': (with  i8 as test.array_stddev_pop([test.tinyint('1'),test.tinyint('2'),test.tinyint('3')]),
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_stddev_empty/scalar_stddev_empty.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_stddev_empty/scalar_stddev_empty.1.ddl.sqlpp
index 63c85db..d89031c 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_stddev_empty/scalar_stddev_empty.1.ddl.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_stddev_empty/scalar_stddev_empty.1.ddl.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 /*
- * Description    : Tests the scalar version of stddev and stddev_pop with an empty list.
+ * Description    : Tests the scalar version of stddev_samp and stddev_pop with an empty list.
  * Success        : Yes
  */
 
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_stddev_empty/scalar_stddev_empty.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_stddev_empty/scalar_stddev_empty.3.query.sqlpp
index f29f59a..8c01f97 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_stddev_empty/scalar_stddev_empty.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_stddev_empty/scalar_stddev_empty.3.query.sqlpp
@@ -17,9 +17,9 @@
  * under the License.
  */
 /*
- * Description    : Tests the scalar version of stddev and stddev_pop with an empty list.
+ * Description    : Tests the scalar version of stddev_samp and stddev_pop with an empty list.
  * Success        : Yes
  */
 
-{'stddev': (select element array_stddev([])),
+{'stddev_samp': (select element array_stddev_samp([])),
 'stddev_pop': (select element array_stddev_pop([]))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_stddev_null/scalar_stddev_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_stddev_null/scalar_stddev_null.1.ddl.sqlpp
index 487d166..7df9f06 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_stddev_null/scalar_stddev_null.1.ddl.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_stddev_null/scalar_stddev_null.1.ddl.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 /*
- * Description    : Tests the scalar version of stddev and stddev_pop with nulls.
+ * Description    : Tests the scalar version of stddev_samp and stddev_pop with nulls.
  * Success        : Yes
  */
 
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_stddev_null/scalar_stddev_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_stddev_null/scalar_stddev_null.3.query.sqlpp
index 8a2db99..bdc7fed 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_stddev_null/scalar_stddev_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_stddev_null/scalar_stddev_null.3.query.sqlpp
@@ -17,18 +17,18 @@
  * under the License.
  */
 /*
- * Description    : Tests the scalar version of stddev and stddev_pop with nulls.
+ * Description    : Tests the scalar version of stddev_samp and stddev_pop with nulls.
  * Success        : Yes
  */
 
 use test;
 
-{'stddev': (with  i8 as test.array_stddev([test.tinyint('1'),test.tinyint('2'),test.tinyint('3'),null]),
-      i16 as test.array_stddev([test.smallint('1'),test.smallint('2'),test.smallint('3'),null]),
-      i32 as test.array_stddev([test.integer('1'),test.integer('2'),test.integer('3'),null]),
-      i64 as test.array_stddev([test.bigint('1'),test.bigint('2'),test.bigint('3'),null]),
-      f as test.array_stddev([test.float('1'),test.float('2'),test.float('3'),null]),
-      d as test.array_stddev([test.double('1'),test.double('2'),test.double('3'),null])
+{'stddev_samp': (with  i8 as test.array_stddev_samp([test.tinyint('1'),test.tinyint('2'),test.tinyint('3'),null]),
+      i16 as test.array_stddev_samp([test.smallint('1'),test.smallint('2'),test.smallint('3'),null]),
+      i32 as test.array_stddev_samp([test.integer('1'),test.integer('2'),test.integer('3'),null]),
+      i64 as test.array_stddev_samp([test.bigint('1'),test.bigint('2'),test.bigint('3'),null]),
+      f as test.array_stddev_samp([test.float('1'),test.float('2'),test.float('3'),null]),
+      d as test.array_stddev_samp([test.double('1'),test.double('2'),test.double('3'),null])
 select element i
 from  [i8,i16,i32,i64,f,d] as i),
 'stddev_pop': (with  i8 as test.array_stddev_pop([test.tinyint('1'),test.tinyint('2'),test.tinyint('3'),null]),
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_var/scalar_var.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_var/scalar_var.1.ddl.sqlpp
index 3a3a45c..3c18f75 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_var/scalar_var.1.ddl.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_var/scalar_var.1.ddl.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 /*
- * Description    : Tests the scalar version of var and var_pop without nulls.
+ * Description    : Tests the scalar version of var_samp and var_pop without nulls.
  * Success        : Yes
  */
 
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_var/scalar_var.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_var/scalar_var.3.query.sqlpp
index 25e0906..8820b13 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_var/scalar_var.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_var/scalar_var.3.query.sqlpp
@@ -17,18 +17,18 @@
  * under the License.
  */
 /*
- * Description    : Tests the scalar version of var and var_pop without nulls.
+ * Description    : Tests the scalar version of var_samp and var_pop without nulls.
  * Success        : Yes
  */
 
 use test;
 
-{'var': (with  i8 as test.array_var([test.tinyint('1'),test.tinyint('2'),test.tinyint('3')]),
-      i16 as test.array_var([test.smallint('1'),test.smallint('2'),test.smallint('3')]),
-      i32 as test.array_var([test.integer('1'),test.integer('2'),test.integer('3')]),
-      i64 as test.array_var([test.bigint('1'),test.bigint('2'),test.bigint('3')]),
-      f as test.array_var([test.float('1'),test.float('2'),test.float('3')]),
-      d as test.array_var([test.double('1'),test.double('2'),test.double('3')])
+{'var_samp': (with  i8 as test.array_var_samp([test.tinyint('1'),test.tinyint('2'),test.tinyint('3')]),
+      i16 as test.array_var_samp([test.smallint('1'),test.smallint('2'),test.smallint('3')]),
+      i32 as test.array_var_samp([test.integer('1'),test.integer('2'),test.integer('3')]),
+      i64 as test.array_var_samp([test.bigint('1'),test.bigint('2'),test.bigint('3')]),
+      f as test.array_var_samp([test.float('1'),test.float('2'),test.float('3')]),
+      d as test.array_var_samp([test.double('1'),test.double('2'),test.double('3')])
 select element i
 from  [i8,i16,i32,i64,f,d] as i),
 'var_pop': (with  i8 as test.array_var_pop([test.tinyint('1'),test.tinyint('2'),test.tinyint('3')]),
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_var_empty/scalar_var_empty.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_var_empty/scalar_var_empty.1.ddl.sqlpp
index aceb0a1..6b21d18 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_var_empty/scalar_var_empty.1.ddl.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_var_empty/scalar_var_empty.1.ddl.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 /*
- * Description    : Tests the scalar version of var and var_pop with an empty list.
+ * Description    : Tests the scalar version of var_samp and var_pop with an empty list.
  * Success        : Yes
  */
 
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_var_empty/scalar_var_empty.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_var_empty/scalar_var_empty.3.query.sqlpp
index a9534b7..12f4afd 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_var_empty/scalar_var_empty.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_var_empty/scalar_var_empty.3.query.sqlpp
@@ -17,9 +17,9 @@
  * under the License.
  */
 /*
- * Description    : Tests the scalar version of var and var_pop with an empty list.
+ * Description    : Tests the scalar version of var_samp and var_pop with an empty list.
  * Success        : Yes
  */
 
-{'var': (select element array_var([])),
+{'var_samp': (select element array_var_samp([])),
 'var_pop': (select element array_var_pop([]))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_var_null/scalar_var_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_var_null/scalar_var_null.1.ddl.sqlpp
index 4e53c2f..9571767 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_var_null/scalar_var_null.1.ddl.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_var_null/scalar_var_null.1.ddl.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 /*
- * Description    : Tests the scalar version of var and var_pop with nulls.
+ * Description    : Tests the scalar version of var_samp and var_pop with nulls.
  * Success        : Yes
  */
 
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_var_null/scalar_var_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_var_null/scalar_var_null.3.query.sqlpp
index 6ed05fa..073976b 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_var_null/scalar_var_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/scalar_var_null/scalar_var_null.3.query.sqlpp
@@ -17,18 +17,18 @@
  * under the License.
  */
 /*
- * Description    : Tests the scalar version of var and var_pop with nulls.
+ * Description    : Tests the scalar version of var_samp and var_pop with nulls.
  * Success        : Yes
  */
 
 use test;
 
-{'var': (with  i8 as test.array_var([test.tinyint('1'),test.tinyint('2'),test.tinyint('3'),null]),
-      i16 as test.array_var([test.smallint('1'),test.smallint('2'),test.smallint('3'),null]),
-      i32 as test.array_var([test.integer('1'),test.integer('2'),test.integer('3'),null]),
-      i64 as test.array_var([test.bigint('1'),test.bigint('2'),test.bigint('3'),null]),
-      f as test.array_var([test.float('1'),test.float('2'),test.float('3'),null]),
-      d as test.array_var([test.double('1'),test.double('2'),test.double('3'),null])
+{'var_samp': (with  i8 as test.array_var_samp([test.tinyint('1'),test.tinyint('2'),test.tinyint('3'),null]),
+      i16 as test.array_var_samp([test.smallint('1'),test.smallint('2'),test.smallint('3'),null]),
+      i32 as test.array_var_samp([test.integer('1'),test.integer('2'),test.integer('3'),null]),
+      i64 as test.array_var_samp([test.bigint('1'),test.bigint('2'),test.bigint('3'),null]),
+      f as test.array_var_samp([test.float('1'),test.float('2'),test.float('3'),null]),
+      d as test.array_var_samp([test.double('1'),test.double('2'),test.double('3'),null])
 select element i
 from  [i8,i16,i32,i64,f,d] as i),
 'var_pop': (with  i8 as test.array_var_pop([test.tinyint('1'),test.tinyint('2'),test.tinyint('3'),null]),
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_double/serial_kurtosis_double.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_double/serial_kurtosis_double.1.ddl.sqlpp
new file mode 100644
index 0000000..da0bd7b
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_double/serial_kurtosis_double.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : double
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_double/serial_kurtosis_double.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_double/serial_kurtosis_double.2.update.sqlpp
new file mode 100644
index 0000000..88d820c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_double/serial_kurtosis_double.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':double(4.32),'valplus':double(473847.0)};
+insert into Test
+select element {'id':1,'gid':1,'val':double(5.32)};
+insert into Test
+select element {'id':2,'gid':1,'val':double(6.32),'valplus':double(38473827484738239.0)};
+insert into Test
+select element {'id':3,'gid':1,'val':double(4.32),'valplus':double(678900.0)};
+insert into Test
+select element {'id':4,'gid':1,'val':double(4.32),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_double/serial_kurtosis_double.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_double/serial_kurtosis_double.3.query.sqlpp
new file mode 100644
index 0000000..d17e926
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_double/serial_kurtosis_double.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, kurtosis(t.val) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_double_null/serial_kurtosis_double_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_double_null/serial_kurtosis_double_null.1.ddl.sqlpp
new file mode 100644
index 0000000..da0bd7b
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_double_null/serial_kurtosis_double_null.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : double
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_double_null/serial_kurtosis_double_null.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_double_null/serial_kurtosis_double_null.2.update.sqlpp
new file mode 100644
index 0000000..88d820c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_double_null/serial_kurtosis_double_null.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':double(4.32),'valplus':double(473847.0)};
+insert into Test
+select element {'id':1,'gid':1,'val':double(5.32)};
+insert into Test
+select element {'id':2,'gid':1,'val':double(6.32),'valplus':double(38473827484738239.0)};
+insert into Test
+select element {'id':3,'gid':1,'val':double(4.32),'valplus':double(678900.0)};
+insert into Test
+select element {'id':4,'gid':1,'val':double(4.32),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_double_null/serial_kurtosis_double_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_double_null/serial_kurtosis_double_null.3.query.sqlpp
new file mode 100644
index 0000000..299efc7
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_double_null/serial_kurtosis_double_null.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, kurtosis(t.valplus) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_empty/serial_kurtosis_empty.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_empty/serial_kurtosis_empty.1.ddl.sqlpp
new file mode 100644
index 0000000..da0bd7b
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_empty/serial_kurtosis_empty.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : double
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_empty/serial_kurtosis_empty.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_empty/serial_kurtosis_empty.3.query.sqlpp
new file mode 100644
index 0000000..d17e926
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_empty/serial_kurtosis_empty.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, kurtosis(t.val) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_float/serial_kurtosis_float.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_float/serial_kurtosis_float.1.ddl.sqlpp
new file mode 100644
index 0000000..ddac6a0
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_float/serial_kurtosis_float.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : float
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_float/serial_kurtosis_float.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_float/serial_kurtosis_float.2.update.sqlpp
new file mode 100644
index 0000000..40641b5
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_float/serial_kurtosis_float.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':float('4.32'),'valplus':float('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':float('5.32')};
+insert into Test
+select element {'id':2,'gid':1,'val':float('6.32'),'valplus':float('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':float('4.32'),'valplus':float('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':float('4.32'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_float/serial_kurtosis_float.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_float/serial_kurtosis_float.3.query.sqlpp
new file mode 100644
index 0000000..d17e926
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_float/serial_kurtosis_float.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, kurtosis(t.val) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_float_null/serial_kurtosis_float_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_float_null/serial_kurtosis_float_null.1.ddl.sqlpp
new file mode 100644
index 0000000..ddac6a0
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_float_null/serial_kurtosis_float_null.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : float
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_float_null/serial_kurtosis_float_null.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_float_null/serial_kurtosis_float_null.2.update.sqlpp
new file mode 100644
index 0000000..40641b5
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_float_null/serial_kurtosis_float_null.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':float('4.32'),'valplus':float('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':float('5.32')};
+insert into Test
+select element {'id':2,'gid':1,'val':float('6.32'),'valplus':float('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':float('4.32'),'valplus':float('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':float('4.32'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_float_null/serial_kurtosis_float_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_float_null/serial_kurtosis_float_null.3.query.sqlpp
new file mode 100644
index 0000000..299efc7
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_float_null/serial_kurtosis_float_null.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, kurtosis(t.valplus) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int16/serial_kurtosis_int16.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int16/serial_kurtosis_int16.1.ddl.sqlpp
new file mode 100644
index 0000000..0c0bfee
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int16/serial_kurtosis_int16.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : smallint
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int16/serial_kurtosis_int16.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int16/serial_kurtosis_int16.2.update.sqlpp
new file mode 100644
index 0000000..6210af4
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int16/serial_kurtosis_int16.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':smallint('4'),'valplus':smallint('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':smallint('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':smallint('6'),'valplus':smallint('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':smallint('4'),'valplus':smallint('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':smallint('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int16/serial_kurtosis_int16.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int16/serial_kurtosis_int16.3.query.sqlpp
new file mode 100644
index 0000000..d17e926
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int16/serial_kurtosis_int16.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, kurtosis(t.val) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int16_null/serial_kurtosis_int16_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int16_null/serial_kurtosis_int16_null.1.ddl.sqlpp
new file mode 100644
index 0000000..0c0bfee
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int16_null/serial_kurtosis_int16_null.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : smallint
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int16_null/serial_kurtosis_int16_null.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int16_null/serial_kurtosis_int16_null.2.update.sqlpp
new file mode 100644
index 0000000..6210af4
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int16_null/serial_kurtosis_int16_null.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':smallint('4'),'valplus':smallint('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':smallint('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':smallint('6'),'valplus':smallint('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':smallint('4'),'valplus':smallint('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':smallint('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int16_null/serial_kurtosis_int16_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int16_null/serial_kurtosis_int16_null.3.query.sqlpp
new file mode 100644
index 0000000..299efc7
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int16_null/serial_kurtosis_int16_null.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, kurtosis(t.valplus) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int32/serial_kurtosis_int32.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int32/serial_kurtosis_int32.1.ddl.sqlpp
new file mode 100644
index 0000000..07312bf
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int32/serial_kurtosis_int32.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : integer
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int32/serial_kurtosis_int32.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int32/serial_kurtosis_int32.2.update.sqlpp
new file mode 100644
index 0000000..a248a0f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int32/serial_kurtosis_int32.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':integer('4'),'valplus':integer('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':integer('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':integer('6'),'valplus':integer('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':integer('4'),'valplus':integer('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':integer('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int32/serial_kurtosis_int32.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int32/serial_kurtosis_int32.3.query.sqlpp
new file mode 100644
index 0000000..d17e926
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int32/serial_kurtosis_int32.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, kurtosis(t.val) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int32_null/serial_kurtosis_int32_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int32_null/serial_kurtosis_int32_null.1.ddl.sqlpp
new file mode 100644
index 0000000..07312bf
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int32_null/serial_kurtosis_int32_null.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : integer
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int32_null/serial_kurtosis_int32_null.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int32_null/serial_kurtosis_int32_null.2.update.sqlpp
new file mode 100644
index 0000000..a248a0f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int32_null/serial_kurtosis_int32_null.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':integer('4'),'valplus':integer('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':integer('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':integer('6'),'valplus':integer('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':integer('4'),'valplus':integer('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':integer('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int32_null/serial_kurtosis_int32_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int32_null/serial_kurtosis_int32_null.3.query.sqlpp
new file mode 100644
index 0000000..299efc7
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int32_null/serial_kurtosis_int32_null.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, kurtosis(t.valplus) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int64/serial_kurtosis_int64.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int64/serial_kurtosis_int64.1.ddl.sqlpp
new file mode 100644
index 0000000..5e9972c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int64/serial_kurtosis_int64.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : bigint
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int64/serial_kurtosis_int64.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int64/serial_kurtosis_int64.2.update.sqlpp
new file mode 100644
index 0000000..b460af2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int64/serial_kurtosis_int64.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':bigint('4'),'valplus':bigint('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':bigint('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':bigint('6'),'valplus':bigint('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':bigint('4'),'valplus':bigint('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':bigint('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int64/serial_kurtosis_int64.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int64/serial_kurtosis_int64.3.query.sqlpp
new file mode 100644
index 0000000..d17e926
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int64/serial_kurtosis_int64.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, kurtosis(t.val) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int64_null/serial_kurtosis_int64_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int64_null/serial_kurtosis_int64_null.1.ddl.sqlpp
new file mode 100644
index 0000000..5e9972c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int64_null/serial_kurtosis_int64_null.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : bigint
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int64_null/serial_kurtosis_int64_null.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int64_null/serial_kurtosis_int64_null.2.update.sqlpp
new file mode 100644
index 0000000..b460af2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int64_null/serial_kurtosis_int64_null.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':bigint('4'),'valplus':bigint('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':bigint('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':bigint('6'),'valplus':bigint('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':bigint('4'),'valplus':bigint('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':bigint('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int64_null/serial_kurtosis_int64_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int64_null/serial_kurtosis_int64_null.3.query.sqlpp
new file mode 100644
index 0000000..299efc7
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int64_null/serial_kurtosis_int64_null.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, kurtosis(t.valplus) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int8/serial_kurtosis_int8.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int8/serial_kurtosis_int8.1.ddl.sqlpp
new file mode 100644
index 0000000..c45dbfe
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int8/serial_kurtosis_int8.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : tinyint
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int8/serial_kurtosis_int8.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int8/serial_kurtosis_int8.2.update.sqlpp
new file mode 100644
index 0000000..5a65a20
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int8/serial_kurtosis_int8.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':tinyint('4'),'valplus':tinyint('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':tinyint('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':tinyint('6'),'valplus':tinyint('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':tinyint('4'),'valplus':tinyint('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':tinyint('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int8/serial_kurtosis_int8.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int8/serial_kurtosis_int8.3.query.sqlpp
new file mode 100644
index 0000000..d17e926
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int8/serial_kurtosis_int8.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, kurtosis(t.val) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int8_null/serial_kurtosis_int8_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int8_null/serial_kurtosis_int8_null.1.ddl.sqlpp
new file mode 100644
index 0000000..c45dbfe
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int8_null/serial_kurtosis_int8_null.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : tinyint
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int8_null/serial_kurtosis_int8_null.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int8_null/serial_kurtosis_int8_null.2.update.sqlpp
new file mode 100644
index 0000000..5a65a20
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int8_null/serial_kurtosis_int8_null.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':tinyint('4'),'valplus':tinyint('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':tinyint('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':tinyint('6'),'valplus':tinyint('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':tinyint('4'),'valplus':tinyint('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':tinyint('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int8_null/serial_kurtosis_int8_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int8_null/serial_kurtosis_int8_null.3.query.sqlpp
new file mode 100644
index 0000000..299efc7
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_int8_null/serial_kurtosis_int8_null.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, kurtosis(t.valplus) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_mixed/serial_kurtosis_mixed.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_mixed/serial_kurtosis_mixed.1.ddl.sqlpp
new file mode 100644
index 0000000..da0bd7b
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_mixed/serial_kurtosis_mixed.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : double
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_mixed/serial_kurtosis_mixed.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_mixed/serial_kurtosis_mixed.2.update.sqlpp
new file mode 100644
index 0000000..8c0b731
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_mixed/serial_kurtosis_mixed.2.update.sqlpp
@@ -0,0 +1,29 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':double(4.32),'valplus':float('2.0')};
+insert into Test
+select element {'id':1,'gid':1,'val':double(5.32)};
+insert into Test
+select element {'id':2,'gid':1,'val':double(6.32),'valplus':'hello world'};
+insert into Test
+select element {'id':3,'gid':1,'val':double(4.32),'valplus':double('3.0')};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_mixed/serial_kurtosis_mixed.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_mixed/serial_kurtosis_mixed.3.query.sqlpp
new file mode 100644
index 0000000..34a818f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_kurtosis_mixed/serial_kurtosis_mixed.3.query.sqlpp
@@ -0,0 +1,30 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+ /*
+ * Description  : Run serial-kurtosis over an multiset with mixed types
+ * Expected Res : Failure
+ * Date         : March 5th 2018
+ */
+
+use test;
+
+select gid, array_kurtosis((select value g.valplus from g)) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(valplus as valplus);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_double/serial_skewness_double.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_double/serial_skewness_double.1.ddl.sqlpp
new file mode 100644
index 0000000..da0bd7b
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_double/serial_skewness_double.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : double
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_double/serial_skewness_double.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_double/serial_skewness_double.2.update.sqlpp
new file mode 100644
index 0000000..88d820c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_double/serial_skewness_double.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':double(4.32),'valplus':double(473847.0)};
+insert into Test
+select element {'id':1,'gid':1,'val':double(5.32)};
+insert into Test
+select element {'id':2,'gid':1,'val':double(6.32),'valplus':double(38473827484738239.0)};
+insert into Test
+select element {'id':3,'gid':1,'val':double(4.32),'valplus':double(678900.0)};
+insert into Test
+select element {'id':4,'gid':1,'val':double(4.32),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_double/serial_skewness_double.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_double/serial_skewness_double.3.query.sqlpp
new file mode 100644
index 0000000..38094d5
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_double/serial_skewness_double.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, skewness(t.val) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_double_null/serial_skewness_double_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_double_null/serial_skewness_double_null.1.ddl.sqlpp
new file mode 100644
index 0000000..da0bd7b
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_double_null/serial_skewness_double_null.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : double
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_double_null/serial_skewness_double_null.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_double_null/serial_skewness_double_null.2.update.sqlpp
new file mode 100644
index 0000000..88d820c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_double_null/serial_skewness_double_null.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':double(4.32),'valplus':double(473847.0)};
+insert into Test
+select element {'id':1,'gid':1,'val':double(5.32)};
+insert into Test
+select element {'id':2,'gid':1,'val':double(6.32),'valplus':double(38473827484738239.0)};
+insert into Test
+select element {'id':3,'gid':1,'val':double(4.32),'valplus':double(678900.0)};
+insert into Test
+select element {'id':4,'gid':1,'val':double(4.32),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_double_null/serial_skewness_double_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_double_null/serial_skewness_double_null.3.query.sqlpp
new file mode 100644
index 0000000..4e9fcac
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_double_null/serial_skewness_double_null.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, skewness(t.valplus) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_empty/serial_skewness_empty.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_empty/serial_skewness_empty.1.ddl.sqlpp
new file mode 100644
index 0000000..da0bd7b
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_empty/serial_skewness_empty.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : double
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_empty/serial_skewness_empty.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_empty/serial_skewness_empty.3.query.sqlpp
new file mode 100644
index 0000000..38094d5
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_empty/serial_skewness_empty.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, skewness(t.val) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_float/serial_skewness_float.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_float/serial_skewness_float.1.ddl.sqlpp
new file mode 100644
index 0000000..ddac6a0
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_float/serial_skewness_float.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : float
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_float/serial_skewness_float.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_float/serial_skewness_float.2.update.sqlpp
new file mode 100644
index 0000000..40641b5
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_float/serial_skewness_float.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':float('4.32'),'valplus':float('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':float('5.32')};
+insert into Test
+select element {'id':2,'gid':1,'val':float('6.32'),'valplus':float('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':float('4.32'),'valplus':float('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':float('4.32'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_float/serial_skewness_float.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_float/serial_skewness_float.3.query.sqlpp
new file mode 100644
index 0000000..38094d5
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_float/serial_skewness_float.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, skewness(t.val) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_float_null/serial_skewness_float_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_float_null/serial_skewness_float_null.1.ddl.sqlpp
new file mode 100644
index 0000000..ddac6a0
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_float_null/serial_skewness_float_null.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : float
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_float_null/serial_skewness_float_null.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_float_null/serial_skewness_float_null.2.update.sqlpp
new file mode 100644
index 0000000..40641b5
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_float_null/serial_skewness_float_null.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':float('4.32'),'valplus':float('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':float('5.32')};
+insert into Test
+select element {'id':2,'gid':1,'val':float('6.32'),'valplus':float('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':float('4.32'),'valplus':float('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':float('4.32'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_float_null/serial_skewness_float_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_float_null/serial_skewness_float_null.3.query.sqlpp
new file mode 100644
index 0000000..4e9fcac
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_float_null/serial_skewness_float_null.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, skewness(t.valplus) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int16/serial_skewness_int16.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int16/serial_skewness_int16.1.ddl.sqlpp
new file mode 100644
index 0000000..0c0bfee
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int16/serial_skewness_int16.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : smallint
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int16/serial_skewness_int16.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int16/serial_skewness_int16.2.update.sqlpp
new file mode 100644
index 0000000..6210af4
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int16/serial_skewness_int16.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':smallint('4'),'valplus':smallint('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':smallint('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':smallint('6'),'valplus':smallint('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':smallint('4'),'valplus':smallint('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':smallint('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int16/serial_skewness_int16.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int16/serial_skewness_int16.3.query.sqlpp
new file mode 100644
index 0000000..38094d5
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int16/serial_skewness_int16.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, skewness(t.val) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int16_null/serial_skewness_int16_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int16_null/serial_skewness_int16_null.1.ddl.sqlpp
new file mode 100644
index 0000000..0c0bfee
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int16_null/serial_skewness_int16_null.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : smallint
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int16_null/serial_skewness_int16_null.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int16_null/serial_skewness_int16_null.2.update.sqlpp
new file mode 100644
index 0000000..6210af4
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int16_null/serial_skewness_int16_null.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':smallint('4'),'valplus':smallint('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':smallint('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':smallint('6'),'valplus':smallint('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':smallint('4'),'valplus':smallint('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':smallint('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int16_null/serial_skewness_int16_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int16_null/serial_skewness_int16_null.3.query.sqlpp
new file mode 100644
index 0000000..4e9fcac
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int16_null/serial_skewness_int16_null.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, skewness(t.valplus) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int32/serial_skewness_int32.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int32/serial_skewness_int32.1.ddl.sqlpp
new file mode 100644
index 0000000..07312bf
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int32/serial_skewness_int32.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : integer
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int32/serial_skewness_int32.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int32/serial_skewness_int32.2.update.sqlpp
new file mode 100644
index 0000000..a248a0f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int32/serial_skewness_int32.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':integer('4'),'valplus':integer('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':integer('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':integer('6'),'valplus':integer('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':integer('4'),'valplus':integer('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':integer('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int32/serial_skewness_int32.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int32/serial_skewness_int32.3.query.sqlpp
new file mode 100644
index 0000000..38094d5
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int32/serial_skewness_int32.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, skewness(t.val) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int32_null/serial_skewness_int32_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int32_null/serial_skewness_int32_null.1.ddl.sqlpp
new file mode 100644
index 0000000..07312bf
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int32_null/serial_skewness_int32_null.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : integer
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int32_null/serial_skewness_int32_null.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int32_null/serial_skewness_int32_null.2.update.sqlpp
new file mode 100644
index 0000000..a248a0f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int32_null/serial_skewness_int32_null.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':integer('4'),'valplus':integer('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':integer('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':integer('6'),'valplus':integer('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':integer('4'),'valplus':integer('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':integer('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int32_null/serial_skewness_int32_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int32_null/serial_skewness_int32_null.3.query.sqlpp
new file mode 100644
index 0000000..4e9fcac
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int32_null/serial_skewness_int32_null.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, skewness(t.valplus) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int64/serial_skewness_int64.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int64/serial_skewness_int64.1.ddl.sqlpp
new file mode 100644
index 0000000..5e9972c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int64/serial_skewness_int64.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : bigint
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int64/serial_skewness_int64.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int64/serial_skewness_int64.2.update.sqlpp
new file mode 100644
index 0000000..b460af2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int64/serial_skewness_int64.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':bigint('4'),'valplus':bigint('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':bigint('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':bigint('6'),'valplus':bigint('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':bigint('4'),'valplus':bigint('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':bigint('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int64/serial_skewness_int64.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int64/serial_skewness_int64.3.query.sqlpp
new file mode 100644
index 0000000..38094d5
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int64/serial_skewness_int64.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, skewness(t.val) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int64_null/serial_skewness_int64_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int64_null/serial_skewness_int64_null.1.ddl.sqlpp
new file mode 100644
index 0000000..5e9972c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int64_null/serial_skewness_int64_null.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : bigint
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int64_null/serial_skewness_int64_null.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int64_null/serial_skewness_int64_null.2.update.sqlpp
new file mode 100644
index 0000000..b460af2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int64_null/serial_skewness_int64_null.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':bigint('4'),'valplus':bigint('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':bigint('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':bigint('6'),'valplus':bigint('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':bigint('4'),'valplus':bigint('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':bigint('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int64_null/serial_skewness_int64_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int64_null/serial_skewness_int64_null.3.query.sqlpp
new file mode 100644
index 0000000..4e9fcac
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int64_null/serial_skewness_int64_null.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, skewness(t.valplus) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int8/serial_skewness_int8.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int8/serial_skewness_int8.1.ddl.sqlpp
new file mode 100644
index 0000000..c45dbfe
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int8/serial_skewness_int8.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : tinyint
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int8/serial_skewness_int8.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int8/serial_skewness_int8.2.update.sqlpp
new file mode 100644
index 0000000..5a65a20
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int8/serial_skewness_int8.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':tinyint('4'),'valplus':tinyint('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':tinyint('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':tinyint('6'),'valplus':tinyint('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':tinyint('4'),'valplus':tinyint('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':tinyint('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int8/serial_skewness_int8.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int8/serial_skewness_int8.3.query.sqlpp
new file mode 100644
index 0000000..38094d5
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int8/serial_skewness_int8.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, skewness(t.val) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int8_null/serial_skewness_int8_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int8_null/serial_skewness_int8_null.1.ddl.sqlpp
new file mode 100644
index 0000000..c45dbfe
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int8_null/serial_skewness_int8_null.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : tinyint
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int8_null/serial_skewness_int8_null.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int8_null/serial_skewness_int8_null.2.update.sqlpp
new file mode 100644
index 0000000..5a65a20
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int8_null/serial_skewness_int8_null.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':tinyint('4'),'valplus':tinyint('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':tinyint('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':tinyint('6'),'valplus':tinyint('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':tinyint('4'),'valplus':tinyint('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':tinyint('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int8_null/serial_skewness_int8_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int8_null/serial_skewness_int8_null.3.query.sqlpp
new file mode 100644
index 0000000..4e9fcac
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_int8_null/serial_skewness_int8_null.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, skewness(t.valplus) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_mixed/serial_skewness_mixed.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_mixed/serial_skewness_mixed.1.ddl.sqlpp
new file mode 100644
index 0000000..da0bd7b
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_mixed/serial_skewness_mixed.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : double
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_mixed/serial_skewness_mixed.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_mixed/serial_skewness_mixed.2.update.sqlpp
new file mode 100644
index 0000000..8c0b731
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_mixed/serial_skewness_mixed.2.update.sqlpp
@@ -0,0 +1,29 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':double(4.32),'valplus':float('2.0')};
+insert into Test
+select element {'id':1,'gid':1,'val':double(5.32)};
+insert into Test
+select element {'id':2,'gid':1,'val':double(6.32),'valplus':'hello world'};
+insert into Test
+select element {'id':3,'gid':1,'val':double(4.32),'valplus':double('3.0')};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_mixed/serial_skewness_mixed.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_mixed/serial_skewness_mixed.3.query.sqlpp
new file mode 100644
index 0000000..323d010
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_skewness_mixed/serial_skewness_mixed.3.query.sqlpp
@@ -0,0 +1,30 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+ /*
+ * Description  : Run serial-skewness over an multiset with mixed types
+ * Expected Res : Failure
+ * Date         : March 5th 2018
+ */
+
+use test;
+
+select gid, array_skewness((select value g.valplus from g)) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(valplus as valplus);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_double/serial_stddev_double.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_double/serial_stddev_double.3.query.sqlpp
index d20e7c9..1180e69 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_double/serial_stddev_double.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_double/serial_stddev_double.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, stddev(t.val) as stddev, stddev_pop(t.val) as stddev_pop
+select gid, stddev_samp(t.val) as stddev_samp, stddev_pop(t.val) as stddev_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_double_null/serial_stddev_double_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_double_null/serial_stddev_double_null.3.query.sqlpp
index eb4bc56..d765d99 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_double_null/serial_stddev_double_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_double_null/serial_stddev_double_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, stddev(t.valplus) as stddev, stddev_pop(t.valplus) as stddev_pop
+select gid, stddev_samp(t.valplus) as stddev_samp, stddev_pop(t.valplus) as stddev_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_empty/serial_stddev_empty.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_empty/serial_stddev_empty.3.query.sqlpp
index d20e7c9..1180e69 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_empty/serial_stddev_empty.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_empty/serial_stddev_empty.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, stddev(t.val) as stddev, stddev_pop(t.val) as stddev_pop
+select gid, stddev_samp(t.val) as stddev_samp, stddev_pop(t.val) as stddev_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_float/serial_stddev_float.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_float/serial_stddev_float.3.query.sqlpp
index d20e7c9..1180e69 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_float/serial_stddev_float.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_float/serial_stddev_float.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, stddev(t.val) as stddev, stddev_pop(t.val) as stddev_pop
+select gid, stddev_samp(t.val) as stddev_samp, stddev_pop(t.val) as stddev_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_float_null/serial_stddev_float_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_float_null/serial_stddev_float_null.3.query.sqlpp
index eb4bc56..d765d99 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_float_null/serial_stddev_float_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_float_null/serial_stddev_float_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, stddev(t.valplus) as stddev, stddev_pop(t.valplus) as stddev_pop
+select gid, stddev_samp(t.valplus) as stddev_samp, stddev_pop(t.valplus) as stddev_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int16/serial_stddev_int16.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int16/serial_stddev_int16.3.query.sqlpp
index d20e7c9..1180e69 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int16/serial_stddev_int16.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int16/serial_stddev_int16.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, stddev(t.val) as stddev, stddev_pop(t.val) as stddev_pop
+select gid, stddev_samp(t.val) as stddev_samp, stddev_pop(t.val) as stddev_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int16_null/serial_stddev_int16_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int16_null/serial_stddev_int16_null.3.query.sqlpp
index eb4bc56..d765d99 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int16_null/serial_stddev_int16_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int16_null/serial_stddev_int16_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, stddev(t.valplus) as stddev, stddev_pop(t.valplus) as stddev_pop
+select gid, stddev_samp(t.valplus) as stddev_samp, stddev_pop(t.valplus) as stddev_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int32/serial_stddev_int32.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int32/serial_stddev_int32.3.query.sqlpp
index d20e7c9..1180e69 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int32/serial_stddev_int32.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int32/serial_stddev_int32.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, stddev(t.val) as stddev, stddev_pop(t.val) as stddev_pop
+select gid, stddev_samp(t.val) as stddev_samp, stddev_pop(t.val) as stddev_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int32_null/serial_stddev_int32_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int32_null/serial_stddev_int32_null.3.query.sqlpp
index eb4bc56..d765d99 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int32_null/serial_stddev_int32_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int32_null/serial_stddev_int32_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, stddev(t.valplus) as stddev, stddev_pop(t.valplus) as stddev_pop
+select gid, stddev_samp(t.valplus) as stddev_samp, stddev_pop(t.valplus) as stddev_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int64/serial_stddev_int64.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int64/serial_stddev_int64.3.query.sqlpp
index d20e7c9..1180e69 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int64/serial_stddev_int64.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int64/serial_stddev_int64.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, stddev(t.val) as stddev, stddev_pop(t.val) as stddev_pop
+select gid, stddev_samp(t.val) as stddev_samp, stddev_pop(t.val) as stddev_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int64_null/serial_stddev_int64_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int64_null/serial_stddev_int64_null.3.query.sqlpp
index eb4bc56..d765d99 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int64_null/serial_stddev_int64_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int64_null/serial_stddev_int64_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, stddev(t.valplus) as stddev, stddev_pop(t.valplus) as stddev_pop
+select gid, stddev_samp(t.valplus) as stddev_samp, stddev_pop(t.valplus) as stddev_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int8/serial_stddev_int8.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int8/serial_stddev_int8.3.query.sqlpp
index d20e7c9..1180e69 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int8/serial_stddev_int8.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int8/serial_stddev_int8.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, stddev(t.val) as stddev, stddev_pop(t.val) as stddev_pop
+select gid, stddev_samp(t.val) as stddev_samp, stddev_pop(t.val) as stddev_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int8_null/serial_stddev_int8_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int8_null/serial_stddev_int8_null.3.query.sqlpp
index eb4bc56..d765d99 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int8_null/serial_stddev_int8_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_int8_null/serial_stddev_int8_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, stddev(t.valplus) as stddev, stddev_pop(t.valplus) as stddev_pop
+select gid, stddev_samp(t.valplus) as stddev_samp, stddev_pop(t.valplus) as stddev_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_mixed.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_mixed.3.query.sqlpp
index b0c5f68..05f0a0b 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_mixed.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_mixed.3.query.sqlpp
@@ -24,7 +24,7 @@
 
 use test;
 
-select gid, array_stddev((select value g.valplus from g)) as stddev
+select gid, array_stddev_samp((select value g.valplus from g)) as stddev_samp
 from Test as t
 /* +hash */
 group by t.gid as gid group as g(valplus as valplus);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_double/serial_var_double.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_double/serial_var_double.3.query.sqlpp
index 48a30f1..56ff105 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_double/serial_var_double.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_double/serial_var_double.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, var(t.val) as var, var_pop(t.val) as var_pop
+select gid, var_samp(t.val) as var_samp, var_pop(t.val) as var_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_double_null/serial_var_double_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_double_null/serial_var_double_null.3.query.sqlpp
index abd0d49..9e79475 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_double_null/serial_var_double_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_double_null/serial_var_double_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, var(t.valplus) as var, var_pop(t.valplus) as var_pop
+select gid, var_samp(t.valplus) as var_samp, var_pop(t.valplus) as var_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_empty/serial_var_empty.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_empty/serial_var_empty.3.query.sqlpp
index 48a30f1..56ff105 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_empty/serial_var_empty.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_empty/serial_var_empty.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, var(t.val) as var, var_pop(t.val) as var_pop
+select gid, var_samp(t.val) as var_samp, var_pop(t.val) as var_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_float/serial_var_float.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_float/serial_var_float.3.query.sqlpp
index 48a30f1..56ff105 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_float/serial_var_float.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_float/serial_var_float.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, var(t.val) as var, var_pop(t.val) as var_pop
+select gid, var_samp(t.val) as var_samp, var_pop(t.val) as var_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_float_null/serial_var_float_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_float_null/serial_var_float_null.3.query.sqlpp
index abd0d49..9e79475 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_float_null/serial_var_float_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_float_null/serial_var_float_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, var(t.valplus) as var, var_pop(t.valplus) as var_pop
+select gid, var_samp(t.valplus) as var_samp, var_pop(t.valplus) as var_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int16/serial_var_int16.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int16/serial_var_int16.3.query.sqlpp
index 48a30f1..56ff105 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int16/serial_var_int16.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int16/serial_var_int16.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, var(t.val) as var, var_pop(t.val) as var_pop
+select gid, var_samp(t.val) as var_samp, var_pop(t.val) as var_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int16_null/serial_var_int16_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int16_null/serial_var_int16_null.3.query.sqlpp
index abd0d49..9e79475 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int16_null/serial_var_int16_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int16_null/serial_var_int16_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, var(t.valplus) as var, var_pop(t.valplus) as var_pop
+select gid, var_samp(t.valplus) as var_samp, var_pop(t.valplus) as var_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int32/serial_var_int32.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int32/serial_var_int32.3.query.sqlpp
index 48a30f1..56ff105 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int32/serial_var_int32.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int32/serial_var_int32.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, var(t.val) as var, var_pop(t.val) as var_pop
+select gid, var_samp(t.val) as var_samp, var_pop(t.val) as var_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int32_null/serial_var_int32_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int32_null/serial_var_int32_null.3.query.sqlpp
index abd0d49..9e79475 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int32_null/serial_var_int32_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int32_null/serial_var_int32_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, var(t.valplus) as var, var_pop(t.valplus) as var_pop
+select gid, var_samp(t.valplus) as var_samp, var_pop(t.valplus) as var_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int64/serial_var_int64.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int64/serial_var_int64.3.query.sqlpp
index 48a30f1..56ff105 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int64/serial_var_int64.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int64/serial_var_int64.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, var(t.val) as var, var_pop(t.val) as var_pop
+select gid, var_samp(t.val) as var_samp, var_pop(t.val) as var_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int64_null/serial_var_int64_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int64_null/serial_var_int64_null.3.query.sqlpp
index abd0d49..9e79475 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int64_null/serial_var_int64_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int64_null/serial_var_int64_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, var(t.valplus) as var, var_pop(t.valplus) as var_pop
+select gid, var_samp(t.valplus) as var_samp, var_pop(t.valplus) as var_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int8/serial_var_int8.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int8/serial_var_int8.3.query.sqlpp
index 48a30f1..56ff105 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int8/serial_var_int8.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int8/serial_var_int8.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, var(t.val) as var, var_pop(t.val) as var_pop
+select gid, var_samp(t.val) as var_samp, var_pop(t.val) as var_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int8_null/serial_var_int8_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int8_null/serial_var_int8_null.3.query.sqlpp
index abd0d49..9e79475 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int8_null/serial_var_int8_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_int8_null/serial_var_int8_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, var(t.valplus) as var, var_pop(t.valplus) as var_pop
+select gid, var_samp(t.valplus) as var_samp, var_pop(t.valplus) as var_pop
 from Test as t
 /* +hash */
 group by t.gid as gid;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_mixed/serial_var_mixed.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_mixed/serial_var_mixed.3.query.sqlpp
index 3f53ea5..134fd79 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_mixed/serial_var_mixed.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/serial_var_mixed/serial_var_mixed.3.query.sqlpp
@@ -17,14 +17,14 @@
  * under the License.
  */
  /*
- * Description  : Run serial-var over an multiset with mixed types
+ * Description  : Run serial-var_samp over an multiset with mixed types
  * Expected Res : Failure
  * Date         : March 5th 2018
  */
 
 use test;
 
-select gid, array_var((select value g.valplus from g)) as var
+select gid, array_var_samp((select value g.valplus from g)) as var_samp
 from Test as t
 /* +hash */
 group by t.gid as gid group as g(valplus as valplus);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_distinct/skewness_distinct.1.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_distinct/skewness_distinct.1.query.sqlpp
new file mode 100644
index 0000000..0f2717d
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_distinct/skewness_distinct.1.query.sqlpp
@@ -0,0 +1,24 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+ {
+   't1': to_bigint(array_skewness(distinct [10,20,30,10,20,30,10])),
+   't2': to_bigint(array_skewness(distinct [null,missing,null,missing])),
+   't3': to_bigint(array_skewness(distinct [40,null,missing,50,40,null,missing,50,40])),
+   't4': to_bigint(array_skewness(distinct []))
+ }
\ No newline at end of file
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_double/skewness_double.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_double/skewness_double.1.ddl.sqlpp
new file mode 100644
index 0000000..ad97753
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_double/skewness_double.1.ddl.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_double/skewness_double.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_double/skewness_double.3.query.sqlpp
new file mode 100644
index 0000000..3650fbe
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_double/skewness_double.3.query.sqlpp
@@ -0,0 +1,23 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+select element array_skewness((
+    select element x
+    from  [1.0,2.0,double('3.0')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_double_null/skewness_double_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_double_null/skewness_double_null.1.ddl.sqlpp
new file mode 100644
index 0000000..3f2c5bf
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_double_null/skewness_double_null.1.ddl.sqlpp
@@ -0,0 +1,38 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.NumericType as
+{
+  id : integer,
+  int8Field : tinyint?,
+  int16Field : smallint?,
+  int32Field : integer?,
+  int64Field : bigint?,
+  floatField : float?,
+  doubleField : double?
+};
+
+create external  dataset Numeric(NumericType) using localfs((`path`=`asterix_nc1://data/nontagged/numericData.json`),(`format`=`adm`));
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_double_null/skewness_double_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_double_null/skewness_double_null.3.query.sqlpp
new file mode 100644
index 0000000..58e4a89
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_double_null/skewness_double_null.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'skewness':test.array_skewness((
+    select element x.doubleField
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_empty_01/skewness_empty_01.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_empty_01/skewness_empty_01.1.ddl.sqlpp
new file mode 100644
index 0000000..f6ac910
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_empty_01/skewness_empty_01.1.ddl.sqlpp
@@ -0,0 +1,27 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests that skewness aggregation correctly returns null for an empty stream,
+ *                  without an aggregate combiner.
+ * Success        : Yes
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_empty_01/skewness_empty_01.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_empty_01/skewness_empty_01.3.query.sqlpp
new file mode 100644
index 0000000..e39e8dd
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_empty_01/skewness_empty_01.3.query.sqlpp
@@ -0,0 +1,32 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests that array_skewness aggregation correctly returns null for an empty stream,
+ *                  without an aggregate combiner.
+ * Success        : Yes
+ */
+
+use test;
+
+
+select element test.array_skewness((
+    select element x
+    from  [1,2,3] as x
+    where (x > 10)
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_empty_02/skewness_empty_02.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_empty_02/skewness_empty_02.1.ddl.sqlpp
new file mode 100644
index 0000000..a7a39b8
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_empty_02/skewness_empty_02.1.ddl.sqlpp
@@ -0,0 +1,38 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests that skewness aggregation correctly returns null for an empty stream,
+ *                  with an aggregate combiner.
+ * Success        : Yes
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+ closed {
+  id : bigint,
+  val : double
+};
+
+create  dataset Test(TestType) primary key id;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_empty_02/skewness_empty_02.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_empty_02/skewness_empty_02.3.query.sqlpp
new file mode 100644
index 0000000..411caed
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_empty_02/skewness_empty_02.3.query.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests that array_skewness aggregation correctly returns null for an empty stream,
+ *                  with an aggregate combiner.
+ * Success        : Yes
+ */
+
+use test;
+
+
+select element test.array_skewness((
+    select element x.val
+    from  Test as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_float/skewness_float.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_float/skewness_float.1.ddl.sqlpp
new file mode 100644
index 0000000..21479a2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_float/skewness_float.1.ddl.sqlpp
@@ -0,0 +1,22 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_float/skewness_float.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_float/skewness_float.3.query.sqlpp
new file mode 100644
index 0000000..d148d99
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_float/skewness_float.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+select element test.array_skewness((
+    select element x
+    from  [test.float('1'),test.float('2'),test.float('3')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_float_null/skewness_float_null.1.ddl.sqlpp
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ddl.sqlpp
copy to asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_float_null/skewness_float_null.1.ddl.sqlpp
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_float_null/skewness_float_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_float_null/skewness_float_null.3.query.sqlpp
new file mode 100644
index 0000000..9a42062
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_float_null/skewness_float_null.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'skewness':test.array_skewness((
+    select element x.floatField
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int16/skewness_int16.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int16/skewness_int16.1.ddl.sqlpp
new file mode 100644
index 0000000..21479a2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int16/skewness_int16.1.ddl.sqlpp
@@ -0,0 +1,22 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int16/skewness_int16.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int16/skewness_int16.3.query.sqlpp
new file mode 100644
index 0000000..fb82e49
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int16/skewness_int16.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+select element test.array_skewness((
+    select element x
+    from  [test.smallint('1'),test.smallint('2'),test.smallint('3')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int16_null/skewness_int16_null.1.ddl.sqlpp
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ddl.sqlpp
copy to asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int16_null/skewness_int16_null.1.ddl.sqlpp
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int16_null/skewness_int16_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int16_null/skewness_int16_null.3.query.sqlpp
new file mode 100644
index 0000000..d277ff0
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int16_null/skewness_int16_null.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'skewness':test.array_skewness((
+    select element x.int16Field
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int32/skewness_int32.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int32/skewness_int32.1.ddl.sqlpp
new file mode 100644
index 0000000..21479a2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int32/skewness_int32.1.ddl.sqlpp
@@ -0,0 +1,22 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int32/skewness_int32.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int32/skewness_int32.3.query.sqlpp
new file mode 100644
index 0000000..e2fe5fe
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int32/skewness_int32.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+select element test.array_skewness((
+    select element x
+    from  [test.integer('1'),test.integer('2'),test.integer('3')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int32_null/skewness_int32_null.1.ddl.sqlpp
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ddl.sqlpp
copy to asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int32_null/skewness_int32_null.1.ddl.sqlpp
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int32_null/skewness_int32_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int32_null/skewness_int32_null.3.query.sqlpp
new file mode 100644
index 0000000..59045d7
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int32_null/skewness_int32_null.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'skewness':test.array_skewness((
+    select element x.int32Field
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int64/skewness_int64.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int64/skewness_int64.1.ddl.sqlpp
new file mode 100644
index 0000000..21479a2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int64/skewness_int64.1.ddl.sqlpp
@@ -0,0 +1,22 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int64/skewness_int64.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int64/skewness_int64.3.query.sqlpp
new file mode 100644
index 0000000..57354a1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int64/skewness_int64.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+select element test.array_skewness((
+    select element x
+    from  [test.bigint('1'),test.bigint('2'),test.bigint('3')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int64_null/skewness_int64_null.1.ddl.sqlpp
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ddl.sqlpp
copy to asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int64_null/skewness_int64_null.1.ddl.sqlpp
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int64_null/skewness_int64_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int64_null/skewness_int64_null.3.query.sqlpp
new file mode 100644
index 0000000..f2fc66f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int64_null/skewness_int64_null.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'skewness':test.array_skewness((
+    select element x.int64Field
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int8/skewness_int8.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int8/skewness_int8.1.ddl.sqlpp
new file mode 100644
index 0000000..21479a2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int8/skewness_int8.1.ddl.sqlpp
@@ -0,0 +1,22 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int8/skewness_int8.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int8/skewness_int8.3.query.sqlpp
new file mode 100644
index 0000000..b76b69a
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int8/skewness_int8.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+select element test.array_skewness((
+    select element x
+    from  [test.tinyint('1'),test.tinyint('2'),test.tinyint('3')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int8_null/skewness_int8_null.1.ddl.sqlpp
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ddl.sqlpp
copy to asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int8_null/skewness_int8_null.1.ddl.sqlpp
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int8_null/skewness_int8_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int8_null/skewness_int8_null.3.query.sqlpp
new file mode 100644
index 0000000..e4d98f4
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_int8_null/skewness_int8_null.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'skewness':test.array_skewness((
+    select element x.int8Field
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_mixed/skewness_mixed.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_mixed/skewness_mixed.3.query.sqlpp
new file mode 100644
index 0000000..a986446
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/skewness_mixed/skewness_mixed.3.query.sqlpp
@@ -0,0 +1,28 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+* Description  : Run array_skewness over an multiset with mixed types
+* Expected Res : Failure
+* Date         : Feb 7th 2014
+*/
+
+select element array_skewness((
+    select element x
+    from  [float('2.0'),'hello world',93847382783847382,date('2013-01-01')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_distinct/stddev_distinct.1.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_distinct/stddev_distinct.1.query.sqlpp
index 37606a1..f9a24f0 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_distinct/stddev_distinct.1.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_distinct/stddev_distinct.1.query.sqlpp
@@ -17,10 +17,10 @@
  * under the License.
  */
  {
-   't1': to_bigint(array_stddev(distinct [10,20,30,10,20,30,10])),
-   't2': to_bigint(array_stddev(distinct [null,missing,null,missing])),
-   't3': to_bigint(array_stddev(distinct [40,null,missing,50,40,null,missing,50,40])),
-   't4': to_bigint(array_stddev(distinct [])),
+   't1': to_bigint(array_stddev_samp(distinct [10,20,30,10,20,30,10])),
+   't2': to_bigint(array_stddev_samp(distinct [null,missing,null,missing])),
+   't3': to_bigint(array_stddev_samp(distinct [40,null,missing,50,40,null,missing,50,40])),
+   't4': to_bigint(array_stddev_samp(distinct [])),
    't5': to_bigint(array_stddev_pop(distinct [10,20,30,10,20,30,10])),
    't6': to_bigint(array_stddev_pop(distinct [null,missing,null,missing])),
    't7': to_bigint(array_stddev_pop(distinct [40,null,missing,50,40,null,missing,50,40])),
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_double/stddev_double.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_double/stddev_double.3.query.sqlpp
index ff20386..ec59ded 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_double/stddev_double.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_double/stddev_double.3.query.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 
-{'stddev': (select element array_stddev((
+{'stddev_samp': (select element array_stddev_samp((
     select element x
     from  [1.0,2.0,double('3.0')] as x
 ))), 'stddev_pop': (select element array_stddev_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_double_null/stddev_double_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_double_null/stddev_double_null.3.query.sqlpp
index 3899ca2..61e8b95 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_double_null/stddev_double_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_double_null/stddev_double_null.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'stddev':test.array_stddev((
+{'stddev_samp':test.array_stddev_samp((
     select element x.doubleField
     from  Numeric as x
 )), 'stddev_pop':test.array_stddev_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_empty_01/stddev_empty_01.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_empty_01/stddev_empty_01.1.ddl.sqlpp
index e2d346b..3bbd512 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_empty_01/stddev_empty_01.1.ddl.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_empty_01/stddev_empty_01.1.ddl.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 /*
- * Description    : Tests that array_stddev aggregation correctly returns null for an empty stream,
+ * Description    : Tests that stddev_samp and stddev_pop aggregation correctly returns null for an empty stream,
  *                  without an aggregate combiner.
  * Success        : Yes
  */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_empty_01/stddev_empty_01.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_empty_01/stddev_empty_01.3.query.sqlpp
index 988b1e6..6415e6d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_empty_01/stddev_empty_01.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_empty_01/stddev_empty_01.3.query.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 /*
- * Description    : Tests that stddev and stddev_pop aggregation correctly returns null for an empty stream,
+ * Description    : Tests that stddev_samp and stddev_pop aggregation correctly returns null for an empty stream,
  *                  without an aggregate combiner.
  * Success        : Yes
  */
@@ -25,7 +25,7 @@
 use test;
 
 
-{'stddev': (select element test.array_stddev((
+{'stddev_samp': (select element test.array_stddev_samp((
     select element x
     from  [1,2,3] as x
     where (x > 10)
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_empty_02/stddev_empty_02.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_empty_02/stddev_empty_02.1.ddl.sqlpp
index 444cfb2..ac62d7d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_empty_02/stddev_empty_02.1.ddl.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_empty_02/stddev_empty_02.1.ddl.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 /*
- * Description    : Tests that array_stddev aggregation correctly returns null for an empty stream,
+ * Description    : Tests that stddev_samp and stddev_pop aggregation correctly returns null for an empty stream,
  *                  with an aggregate combiner.
  * Success        : Yes
  */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_empty_02/stddev_empty_02.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_empty_02/stddev_empty_02.3.query.sqlpp
index 3ad8d1b..f515da8 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_empty_02/stddev_empty_02.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_empty_02/stddev_empty_02.3.query.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 /*
- * Description    : Tests that stddev and stddev_pop aggregation correctly returns null for an empty stream,
+ * Description    : Tests that stddev_samp and stddev_pop aggregation correctly returns null for an empty stream,
  *                  with an aggregate combiner.
  * Success        : Yes
  */
@@ -25,7 +25,7 @@
 use test;
 
 
-{'stddev': (select element test.array_stddev((
+{'stddev_samp': (select element test.array_stddev_samp((
     select element x.val
     from  Test as x
 ))), 'stddev_pop': (select element test.array_stddev_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float/stddev_float.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float/stddev_float.3.query.sqlpp
index a4baabb..b070a2f 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float/stddev_float.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float/stddev_float.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'stddev': (select element test.array_stddev((
+{'stddev_samp': (select element test.array_stddev_samp((
     select element x
     from  [test.float('1'),test.float('2'),test.float('3')] as x
 ))), 'stddev_pop': (select element test.array_stddev_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.3.query.sqlpp
deleted file mode 100644
index 8a1abff..0000000
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.3.query.sqlpp
+++ /dev/null
@@ -1,29 +0,0 @@
-/*
- * Licensed to the Apache Software Foundation (ASF) under one
- * or more contributor license agreements.  See the NOTICE file
- * distributed with this work for additional information
- * regarding copyright ownership.  The ASF licenses this file
- * to you under the Apache License, Version 2.0 (the
- * "License"); you may not use this file except in compliance
- * with the License.  You may obtain a copy of the License at
- *
- *   http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing,
- * software distributed under the License is distributed on an
- * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
- * KIND, either express or implied.  See the License for the
- * specific language governing permissions and limitations
- * under the License.
- */
-
-use test;
-
-
-{'stddev':test.array_stddev((
-    select element x.floatField
-    from  Numeric as x
-)), 'stddev_pop':test.array_stddev_pop((
-    select element x.floatField
-    from  Numeric as x
-))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_null.1.ddl.sqlpp
similarity index 100%
rename from asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ddl.sqlpp
rename to asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_null.1.ddl.sqlpp
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_null.3.query.sqlpp
new file mode 100644
index 0000000..09b4f98
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_float_null/stddev_float_null.3.query.sqlpp
@@ -0,0 +1,29 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'stddev_samp':test.array_stddev_samp((
+    select element x.floatField
+    from  Numeric as x
+)), 'stddev_pop':test.array_stddev_pop((
+    select element x.floatField
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int16/stddev_int16.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int16/stddev_int16.3.query.sqlpp
index 2ad24ab..8b02317 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int16/stddev_int16.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int16/stddev_int16.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'stddev': (select element test.array_stddev((
+{'stddev_samp': (select element test.array_stddev_samp((
     select element x
     from  [test.smallint('1'),test.smallint('2'),test.smallint('3')] as x
 ))), 'stddev_pop': (select element test.array_stddev_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int16_null/stddev_int16_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int16_null/stddev_int16_null.3.query.sqlpp
index 2da44d4..01eb35e 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int16_null/stddev_int16_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int16_null/stddev_int16_null.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'stddev':test.array_stddev((
+{'stddev_samp':test.array_stddev_samp((
     select element x.int16Field
     from  Numeric as x
 )), 'stddev_pop':test.array_stddev_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int32/stddev_int32.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int32/stddev_int32.3.query.sqlpp
index b8a59c3..8d5a19a 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int32/stddev_int32.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int32/stddev_int32.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'stddev': (select element test.array_stddev((
+{'stddev_samp': (select element test.array_stddev_samp((
     select element x
     from  [test.integer('1'),test.integer('2'),test.integer('3')] as x
 ))), 'stddev_pop': (select element test.array_stddev_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int32_null/stddev_int32_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int32_null/stddev_int32_null.3.query.sqlpp
index 4d0ff58..6b8805c 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int32_null/stddev_int32_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int32_null/stddev_int32_null.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'stddev':test.array_stddev((
+{'stddev_samp':test.array_stddev_samp((
     select element x.int32Field
     from  Numeric as x
 )), 'stddev_pop':test.array_stddev_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int64/stddev_int64.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int64/stddev_int64.3.query.sqlpp
index cf0fa59..95696e8 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int64/stddev_int64.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int64/stddev_int64.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'stddev': (select element test.array_stddev((
+{'stddev_samp': (select element test.array_stddev_samp((
     select element x
     from  [test.bigint('1'),test.bigint('2'),test.bigint('3')] as x
 ))), 'stddev_pop': (select element test.array_stddev_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int64_null/stddev_int64_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int64_null/stddev_int64_null.3.query.sqlpp
index 7aa502c..4d28eaf 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int64_null/stddev_int64_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int64_null/stddev_int64_null.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'stddev':test.array_stddev((
+{'stddev_samp':test.array_stddev_samp((
     select element x.int64Field
     from  Numeric as x
 )), 'stddev_pop':test.array_stddev_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int8/stddev_int8.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int8/stddev_int8.3.query.sqlpp
index 016b368..a8601f0 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int8/stddev_int8.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int8/stddev_int8.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'stddev': (select element test.array_stddev((
+{'stddev_samp': (select element test.array_stddev_samp((
     select element x
     from  [test.tinyint('1'),test.tinyint('2'),test.tinyint('3')] as x
 ))), 'stddev_pop': (select element test.array_stddev_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int8_null/stddev_int8_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int8_null/stddev_int8_null.3.query.sqlpp
index f7e4dbe..cbcc69b 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int8_null/stddev_int8_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_int8_null/stddev_int8_null.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'stddev':test.array_stddev((
+{'stddev_samp':test.array_stddev_samp((
     select element x.int8Field
     from  Numeric as x
 )), 'stddev_pop':test.array_stddev_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_mixed/stddev_mixed.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_mixed/stddev_mixed.3.query.sqlpp
index 97da862..881a61e 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_mixed/stddev_mixed.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/stddev_mixed/stddev_mixed.3.query.sqlpp
@@ -17,12 +17,12 @@
  * under the License.
  */
 /*
-* Description  : Run array_stddev over an multiset with mixed types
+* Description  : Run array_stddev_samp over an multiset with mixed types
 * Expected Res : Failure
 * Date         : March 5th 2018
 */
 
-select element array_stddev((
+select element array_stddev_samp((
     select element x
     from  [float('2.0'),'hello world',93847382783847382,date('2013-01-01')] as x
 ));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_distinct/var_distinct.1.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_distinct/var_distinct.1.query.sqlpp
index 2dd3402..90f4074 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_distinct/var_distinct.1.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_distinct/var_distinct.1.query.sqlpp
@@ -17,10 +17,10 @@
  * under the License.
  */
  {
-   't1': to_bigint(array_var(distinct [10,20,30,10,20,30,10])),
-   't2': to_bigint(array_var(distinct [null,missing,null,missing])),
-   't3': to_bigint(array_var(distinct [40,null,missing,50,40,null,missing,50,40])),
-   't4': to_bigint(array_var(distinct [])),
+   't1': to_bigint(array_var_samp(distinct [10,20,30,10,20,30,10])),
+   't2': to_bigint(array_var_samp(distinct [null,missing,null,missing])),
+   't3': to_bigint(array_var_samp(distinct [40,null,missing,50,40,null,missing,50,40])),
+   't4': to_bigint(array_var_samp(distinct [])),
    't5': to_bigint(array_var_pop(distinct [10,20,30,10,20,30,10])),
    't6': to_bigint(array_var_pop(distinct [null,missing,null,missing])),
    't7': to_bigint(array_var_pop(distinct [40,null,missing,50,40,null,missing,50,40])),
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_double/var_double.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_double/var_double.3.query.sqlpp
index 52dfea2..0f26fbe 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_double/var_double.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_double/var_double.3.query.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 
-{'var': (select element array_var((
+{'var_samp': (select element array_var_samp((
     select element x
     from  [1.0,2.0,double('3.0')] as x
 ))), 'var_pop': (select element array_var_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_double_null/var_double_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_double_null/var_double_null.3.query.sqlpp
index bf0df4f..21c0590 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_double_null/var_double_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_double_null/var_double_null.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'var':test.array_var((
+{'var_samp':test.array_var_samp((
     select element x.doubleField
     from  Numeric as x
 )), 'var_pop':test.array_var_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_empty_01/var_empty_01.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_empty_01/var_empty_01.1.ddl.sqlpp
index 2e5b5b9..db68c0e 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_empty_01/var_empty_01.1.ddl.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_empty_01/var_empty_01.1.ddl.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 /*
- * Description    : Tests that array_var aggregation correctly returns null for an empty stream,
+ * Description    : Tests that var_samp and var_pop aggregation correctly returns null for an empty stream,
  *                  without an aggregate combiner.
  * Success        : Yes
  */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_empty_01/var_empty_01.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_empty_01/var_empty_01.3.query.sqlpp
index 75cbfcc..8c14d91 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_empty_01/var_empty_01.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_empty_01/var_empty_01.3.query.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 /*
- * Description    : Tests that var and var_pop aggregation correctly returns null for an empty stream,
+ * Description    : Tests that var_samp and var_pop aggregation correctly returns null for an empty stream,
  *                  without an aggregate combiner.
  * Success        : Yes
  */
@@ -25,7 +25,7 @@
 use test;
 
 
-{'var': (select element test.array_var((
+{'var_samp': (select element test.array_var_samp((
     select element x
     from  [1,2,3] as x
     where (x > 10)
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_empty_02/var_empty_02.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_empty_02/var_empty_02.1.ddl.sqlpp
index b2d1d8c..ad6e2e9 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_empty_02/var_empty_02.1.ddl.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_empty_02/var_empty_02.1.ddl.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 /*
- * Description    : Tests that array_var aggregation correctly returns null for an empty stream,
+ * Description    : Tests that var_samp and var_pop aggregation correctly returns null for an empty stream,
  *                  with an aggregate combiner.
  * Success        : Yes
  */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_empty_02/var_empty_02.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_empty_02/var_empty_02.3.query.sqlpp
index 63459e2..9245cea 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_empty_02/var_empty_02.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_empty_02/var_empty_02.3.query.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 /*
- * Description    : Tests that var and var_pop aggregation correctly returns null for an empty stream,
+ * Description    : Tests that var_samp and var_pop aggregation correctly returns null for an empty stream,
  *                  with an aggregate combiner.
  * Success        : Yes
  */
@@ -25,7 +25,7 @@
 use test;
 
 
-{'var': (select element test.array_var((
+{'var_samp': (select element test.array_var_samp((
     select element x.val
     from  Test as x
 ))), 'var_pop': (select element test.array_var_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_float/var_float.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_float/var_float.3.query.sqlpp
index b022fe5..cd07f78 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_float/var_float.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_float/var_float.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'var': (select element test.array_var((
+{'var_samp': (select element test.array_var_samp((
     select element x
     from  [test.float('1'),test.float('2'),test.float('3')] as x
 ))), 'var_pop': (select element test.array_var_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_float_null/var_float_nu.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_float_null/var_float_nu.3.query.sqlpp
deleted file mode 100644
index 10089c1..0000000
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_float_null/var_float_nu.3.query.sqlpp
+++ /dev/null
@@ -1,29 +0,0 @@
-/*
- * Licensed to the Apache Software Foundation (ASF) under one
- * or more contributor license agreements.  See the NOTICE file
- * distributed with this work for additional information
- * regarding copyright ownership.  The ASF licenses this file
- * to you under the Apache License, Version 2.0 (the
- * "License"); you may not use this file except in compliance
- * with the License.  You may obtain a copy of the License at
- *
- *   http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing,
- * software distributed under the License is distributed on an
- * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
- * KIND, either express or implied.  See the License for the
- * specific language governing permissions and limitations
- * under the License.
- */
-
-use test;
-
-
-{'var':test.array_var((
-    select element x.floatField
-    from  Numeric as x
-)), 'var_pop':test.array_var_pop((
-    select element x.floatField
-    from  Numeric as x
-))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_float_null/var_float_nu.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_float_null/var_float_null.1.ddl.sqlpp
similarity index 100%
rename from asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_float_null/var_float_nu.1.ddl.sqlpp
rename to asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_float_null/var_float_null.1.ddl.sqlpp
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_float_null/var_float_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_float_null/var_float_null.3.query.sqlpp
new file mode 100644
index 0000000..bd21912
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_float_null/var_float_null.3.query.sqlpp
@@ -0,0 +1,29 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'var_samp':test.array_var_samp((
+    select element x.floatField
+    from  Numeric as x
+)), 'var_pop':test.array_var_pop((
+    select element x.floatField
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int16/var_int16.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int16/var_int16.3.query.sqlpp
index 75950f0..5860d7c 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int16/var_int16.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int16/var_int16.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'var': (select element test.array_var((
+{'var_samp': (select element test.array_var_samp((
     select element x
     from  [test.smallint('1'),test.smallint('2'),test.smallint('3')] as x
 ))), 'var_pop': (select element test.array_var_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int16_null/var_int16_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int16_null/var_int16_null.3.query.sqlpp
index d7a9716..480c051 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int16_null/var_int16_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int16_null/var_int16_null.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'var':test.array_var((
+{'var_samp':test.array_var_samp((
     select element x.int16Field
     from  Numeric as x
 )), 'var_pop':test.array_var_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int32/var_int32.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int32/var_int32.3.query.sqlpp
index c9f71a5..3ba7fc1 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int32/var_int32.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int32/var_int32.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'var': (select element test.array_var((
+{'var_samp': (select element test.array_var_samp((
     select element x
     from  [test.integer('1'),test.integer('2'),test.integer('3')] as x
 ))), 'var_pop': (select element test.array_var_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int32_null/var_int32_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int32_null/var_int32_null.3.query.sqlpp
index 427e4a2..8f84922 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int32_null/var_int32_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int32_null/var_int32_null.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'var':test.array_var((
+{'var_samp':test.array_var_samp((
     select element x.int32Field
     from  Numeric as x
 )), 'var_pop':test.array_var_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int64/var_int64.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int64/var_int64.3.query.sqlpp
index 487070d..168cb3f 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int64/var_int64.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int64/var_int64.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'var': (select element test.array_var((
+{'var_samp': (select element test.array_var_samp((
     select element x
     from  [test.bigint('1'),test.bigint('2'),test.bigint('3')] as x
 ))), 'var_pop': (select element test.array_var_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int64_null/var_int64_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int64_null/var_int64_null.3.query.sqlpp
index 012c8b3..1d3ec9d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int64_null/var_int64_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int64_null/var_int64_null.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'var':test.array_var((
+{'var_samp':test.array_var_samp((
     select element x.int64Field
     from  Numeric as x
 )), 'var_pop':test.array_var_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int8/var_int8.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int8/var_int8.3.query.sqlpp
index 6bafd02..6523fe5 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int8/var_int8.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int8/var_int8.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'var': (select element test.array_var((
+{'var_samp': (select element test.array_var_samp((
     select element x
     from  [test.tinyint('1'),test.tinyint('2'),test.tinyint('3')] as x
 ))), 'var_pop': (select element test.array_var_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int8_null/var_int8_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int8_null/var_int8_null.3.query.sqlpp
index d36ab7a..fc47c9d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int8_null/var_int8_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_int8_null/var_int8_null.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'var':test.array_var((
+{'var_samp':test.array_var_samp((
     select element x.int8Field
     from  Numeric as x
 )), 'var_pop':test.array_var_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_mixed/var_mixed.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_mixed/var_mixed.3.query.sqlpp
index 3063caa..cd935c0 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_mixed/var_mixed.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate-sql/var_mixed/var_mixed.3.query.sqlpp
@@ -17,12 +17,12 @@
  * under the License.
  */
 /*
-* Description  : Run array_var over an multiset with mixed types
+* Description  : Run array_var_samp over an multiset with mixed types
 * Expected Res : Failure
 * Date         : March 5th 2018
 */
 
-select element array_var((
+select element array_var_samp((
     select element x
     from  [float('2.0'),'hello world',93847382783847382,date('2013-01-01')] as x
 ));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/agg_null/agg_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/agg_null/agg_null.3.query.sqlpp
index b865561..68b384d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/agg_null/agg_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/agg_null/agg_null.3.query.sqlpp
@@ -22,4 +22,4 @@
 * Date         : Jun 2nd 2013
 */
 
-{'count1':strict_count([null]),'average1':strict_avg([null]),'sum1':strict_sum([null]),'min1':strict_min([null]),'max1':strict_max([null]),'stddev1':strict_stddev([null]),'stddev_pop1':strict_stddev_pop([null]),'var1':strict_var([null]),'var_pop1':strict_var_pop([null]),'count2':strict_count({{null,null}}),'average2':strict_avg({{null,null}}),'sum2':strict_sum({{null,null}}),'min2':strict_min({{null,null}}),'max2':strict_max({{null,null}}),'stddev2':strict_stddev({{null,null}}),'stddev_pop2':strict_stddev_pop({{null,null}}),'var2':strict_var({{null,null}}),'var_pop2':strict_var_pop({{null,null}})};
+{'count1':strict_count([null]),'average1':strict_avg([null]),'sum1':strict_sum([null]),'min1':strict_min([null]),'max1':strict_max([null]),'stddev_samp1':strict_stddev_samp([null]),'stddev_pop1':strict_stddev_pop([null]),'var_samp1':strict_var_samp([null]),'var_pop1':strict_var_pop([null]),'skewness1':strict_skewness([null]),'kurtosis1':strict_kurtosis([null]),'count2':strict_count({{null,null}}),'average2':strict_avg({{null,null}}),'sum2':strict_sum({{null,null}}),'min2':strict_min({{null,null}}),'max2':strict_max({{null,null}}),'stddev_samp2':strict_stddev_samp({{null,null}}),'stddev_pop2':strict_stddev_pop({{null,null}}),'var_samp2':strict_var_samp({{null,null}}),'var_pop2':strict_var_pop({{null,null}}),'skewness2':strict_skewness({{null,null}}),'kurtosis2':strict_kurtosis({{null,null}})};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/agg_null_rec/agg_null_rec.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/agg_null_rec/agg_null_rec.3.query.sqlpp
index 03c7668..d5ddebc 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/agg_null_rec/agg_null_rec.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/agg_null_rec/agg_null_rec.3.query.sqlpp
@@ -40,16 +40,22 @@
 )),'max':test.strict_max((
     select element t.valplus
     from  Test as t
-)), 'stddev':test.strict_stddev((
+)), 'stddev_samp':test.strict_stddev_samp((
     select element t.valplus
     from  Test as t
 )), 'stddev_pop':test.strict_stddev_pop((
     select element t.valplus
     from  Test as t
-)), 'var':test.strict_var((
+)), 'var_samp':test.strict_var_samp((
     select element t.valplus
     from  Test as t
 )), 'var_pop':test.strict_var_pop((
     select element t.valplus
     from  Test as t
+)), 'skewness':test.strict_skewness((
+    select element t.valplus
+    from  Test as t
+)), 'kurtosis':test.strict_kurtosis((
+    select element t.valplus
+    from  Test as t
 ))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/agg_null_rec_1/agg_null_rec_1.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/agg_null_rec_1/agg_null_rec_1.3.query.sqlpp
index 2d97c79..3bb9add 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/agg_null_rec_1/agg_null_rec_1.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/agg_null_rec_1/agg_null_rec_1.3.query.sqlpp
@@ -52,7 +52,7 @@
         select element t
         from  Test as t
     ) as i
-)),'stddev':test.strict_stddev((
+)),'stddev_samp':test.strict_stddev_samp((
     select element i.val
     from  (
         select element t
@@ -64,7 +64,7 @@
         select element t
         from  Test as t
     ) as i
-)),'var':test.strict_var((
+)),'var_samp':test.strict_var_samp((
     select element i.val
     from  (
         select element t
@@ -76,4 +76,16 @@
         select element t
         from  Test as t
     ) as i
+)),'skewness':test.strict_skewness((
+    select element i.val
+    from  (
+        select element t
+        from  Test as t
+    ) as i
+)),'kurtosis':test.strict_kurtosis((
+    select element i.val
+    from  (
+        select element t
+        from  Test as t
+    ) as i
 ))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/agg_number/agg_number.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/agg_number/agg_number.3.query.sqlpp
index e0d4dca..8a6cf2d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/agg_number/agg_number.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/agg_number/agg_number.3.query.sqlpp
@@ -22,4 +22,4 @@
 * Date         : Jun 2nd 2013
 */
 
-{'count1':strict_count([float('2.0'),double('3.0'),93847382783847382,1]),'average1':strict_avg([float('2.0'),double('3.0'),93847382783847382,1]),'sum1':strict_sum([float('2.0'),double('3.0'),93847382783847382,1]),'min1':strict_min([float('2.0'),double('3.0'),93847382783847382,1]),'max1':strict_max([float('2.0'),double('3.0'),93847382783847382,1]),'stddev1':strict_stddev([float('2.0'),double('3.0'),93847382783847382,1]),'stddev_pop1':strict_stddev_pop([float('2.0'),double('3.0'),93847382783847382,1]),'var1':strict_var([float('2.0'),double('3.0'),93847382783847382,1]),'var_pop1':strict_var_pop([float('2.0'),double('3.0'),93847382783847382,1]),'count2':strict_count({{float('2.0'),double('3.0'),93847382783847382,1}}),'average2':strict_avg({{float('2.0'),double('3.0'),93847382783847382,1}}),'sum2':strict_sum({{float('2.0'),double('3.0'),93847382783847382,1}}),'min2':strict_min({{float('2.0'),double('3.0'),93847382783847382,1}}),'max2':strict_max({{float('2.0'),double('3.0'),93847382783847382,1}}),'stddev2':strict_stddev([float('2.0'),double('3.0'),93847382783847382,1]),'stddev_pop2':strict_stddev_pop([float('2.0'),double('3.0'),93847382783847382,1]),'var2':strict_var([float('2.0'),double('3.0'),93847382783847382,1]),'var_pop2':strict_var_pop([float('2.0'),double('3.0'),93847382783847382,1])};
\ No newline at end of file
+{'count1':strict_count([float('2.0'),double('3.0'),93847382783847382,1]),'average1':strict_avg([float('2.0'),double('3.0'),93847382783847382,1]),'sum1':strict_sum([float('2.0'),double('3.0'),93847382783847382,1]),'min1':strict_min([float('2.0'),double('3.0'),93847382783847382,1]),'max1':strict_max([float('2.0'),double('3.0'),93847382783847382,1]),'stddev_samp1':strict_stddev_samp([float('2.0'),double('3.0'),93847382783847382,1]),'stddev_pop1':strict_stddev_pop([float('2.0'),double('3.0'),93847382783847382,1]),'var_samp1':strict_var_samp([float('2.0'),double('3.0'),93847382783847382,1]),'var_pop1':strict_var_pop([float('2.0'),double('3.0'),93847382783847382,1]),'skewness1':strict_skewness([float('2.0'),double('3.0'),93847382783847382,1]),'kurtosis1':strict_kurtosis([float('2.0'),double('3.0'),93847382783847382,1]),'count2':strict_count({{float('2.0'),double('3.0'),93847382783847382,1}}),'average2':strict_avg({{float('2.0'),double('3.0'),93847382783847382,1}}),'sum2':strict_sum({{float('2.0'),double('3.0'),93847382783847382,1}}),'min2':strict_min({{float('2.0'),double('3.0'),93847382783847382,1}}),'max2':strict_max({{float('2.0'),double('3.0'),93847382783847382,1}}),'stddev_samp2':strict_stddev_samp([float('2.0'),double('3.0'),93847382783847382,1]),'stddev_pop2':strict_stddev_pop([float('2.0'),double('3.0'),93847382783847382,1]),'var_samp2':strict_var_samp([float('2.0'),double('3.0'),93847382783847382,1]),'var_pop2':strict_var_pop([float('2.0'),double('3.0'),93847382783847382,1]),'skewness2':strict_skewness([float('2.0'),double('3.0'),93847382783847382,1]),'kurtosis2':strict_kurtosis([float('2.0'),double('3.0'),93847382783847382,1])};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/agg_number_rec/agg_number_rec.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/agg_number_rec/agg_number_rec.3.query.sqlpp
index e2937d3..160ef87 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/agg_number_rec/agg_number_rec.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/agg_number_rec/agg_number_rec.3.query.sqlpp
@@ -40,16 +40,22 @@
 )),'max':test.strict_max((
     select element t.valplus
     from  Test as t
-)),'stddev':test.strict_stddev((
+)),'stddev_samp':test.strict_stddev_samp((
     select element t.valplus
     from  Test as t
 )),'stddev_pop':test.strict_stddev_pop((
     select element t.valplus
     from  Test as t
-)),'var':test.strict_var((
+)),'var_samp':test.strict_var_samp((
     select element t.valplus
     from  Test as t
 )),'var_pop':test.strict_var_pop((
     select element t.valplus
     from  Test as t
+)),'skewness':test.strict_skewness((
+    select element t.valplus
+    from  Test as t
+)),'kurtosis':test.strict_kurtosis((
+    select element t.valplus
+    from  Test as t
 ))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_distinct/kurtosis_distinct.1.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_distinct/kurtosis_distinct.1.query.sqlpp
new file mode 100644
index 0000000..a0f2365
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_distinct/kurtosis_distinct.1.query.sqlpp
@@ -0,0 +1,24 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+ {
+   't1': to_bigint(strict_kurtosis(distinct [10,20,30,10,20,30,10])),
+   't2': to_bigint(strict_kurtosis(distinct [null,missing,null,missing])),
+   't3': to_bigint(strict_kurtosis(distinct [40,null,missing,50,40,null,missing,50,40])),
+   't4': to_bigint(strict_kurtosis(distinct []))
+ };
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_double/kurtosis_double.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_double/kurtosis_double.1.ddl.sqlpp
new file mode 100644
index 0000000..ad97753
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_double/kurtosis_double.1.ddl.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_double/kurtosis_double.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_double/kurtosis_double.3.query.sqlpp
new file mode 100644
index 0000000..159c579
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_double/kurtosis_double.3.query.sqlpp
@@ -0,0 +1,23 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+select element strict_kurtosis((
+    select element x
+    from  [1.0,2.0,double('3.0')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_double_null/kurtosis_double_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_double_null/kurtosis_double_null.1.ddl.sqlpp
new file mode 100644
index 0000000..3f2c5bf
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_double_null/kurtosis_double_null.1.ddl.sqlpp
@@ -0,0 +1,38 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.NumericType as
+{
+  id : integer,
+  int8Field : tinyint?,
+  int16Field : smallint?,
+  int32Field : integer?,
+  int64Field : bigint?,
+  floatField : float?,
+  doubleField : double?
+};
+
+create external  dataset Numeric(NumericType) using localfs((`path`=`asterix_nc1://data/nontagged/numericData.json`),(`format`=`adm`));
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_double_null/kurtosis_double_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_double_null/kurtosis_double_null.3.query.sqlpp
new file mode 100644
index 0000000..c1a394e
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_double_null/kurtosis_double_null.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'kurtosis':test.strict_kurtosis((
+    select element x.doubleField
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_empty_01/kurtosis_empty_01.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_empty_01/kurtosis_empty_01.1.ddl.sqlpp
new file mode 100644
index 0000000..fc97cef
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_empty_01/kurtosis_empty_01.1.ddl.sqlpp
@@ -0,0 +1,27 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests that kurtosis aggregation correctly returns null for an empty stream,
+ *                  without an aggregate combiner.
+ * Success        : Yes
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_empty_01/kurtosis_empty_01.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_empty_01/kurtosis_empty_01.3.query.sqlpp
new file mode 100644
index 0000000..c5e434f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_empty_01/kurtosis_empty_01.3.query.sqlpp
@@ -0,0 +1,32 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests that kurtosis aggregation correctly returns null for an empty stream,
+ *                  without an aggregate combiner.
+ * Success        : Yes
+ */
+
+use test;
+
+
+select element test.strict_kurtosis((
+    select element x
+    from  [1,2,3] as x
+    where (x > 10)
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_empty_02/kurtosis_empty_02.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_empty_02/kurtosis_empty_02.1.ddl.sqlpp
new file mode 100644
index 0000000..acad83a
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_empty_02/kurtosis_empty_02.1.ddl.sqlpp
@@ -0,0 +1,38 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests that kurtosis aggregation correctly returns null for an empty stream,
+ *                  with an aggregate combiner.
+ * Success        : Yes
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+ closed {
+  id : integer,
+  val : double
+};
+
+create  dataset Test(TestType) primary key id;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_empty_02/kurtosis_empty_02.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_empty_02/kurtosis_empty_02.3.query.sqlpp
new file mode 100644
index 0000000..e332df3
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_empty_02/kurtosis_empty_02.3.query.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests that kurtosis aggregation correctly returns null for an empty stream,
+ *                  with an aggregate combiner.
+ * Success        : Yes
+ */
+
+use test;
+
+
+select element test.strict_kurtosis((
+    select element x.val
+    from  Test as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_float/kurtosis_float.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_float/kurtosis_float.1.ddl.sqlpp
new file mode 100644
index 0000000..21479a2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_float/kurtosis_float.1.ddl.sqlpp
@@ -0,0 +1,22 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_float/kurtosis_float.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_float/kurtosis_float.3.query.sqlpp
new file mode 100644
index 0000000..03255d2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_float/kurtosis_float.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+select element test.strict_kurtosis((
+    select element x
+    from  [test.float('1'),test.float('2'),test.float('3')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_float_null/kurtosis_float_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_float_null/kurtosis_float_null.1.ddl.sqlpp
new file mode 100644
index 0000000..3f2c5bf
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_float_null/kurtosis_float_null.1.ddl.sqlpp
@@ -0,0 +1,38 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.NumericType as
+{
+  id : integer,
+  int8Field : tinyint?,
+  int16Field : smallint?,
+  int32Field : integer?,
+  int64Field : bigint?,
+  floatField : float?,
+  doubleField : double?
+};
+
+create external  dataset Numeric(NumericType) using localfs((`path`=`asterix_nc1://data/nontagged/numericData.json`),(`format`=`adm`));
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_float_null/kurtosis_float_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_float_null/kurtosis_float_null.3.query.sqlpp
new file mode 100644
index 0000000..8a0c5aa
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_float_null/kurtosis_float_null.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'kurtosis':test.strict_kurtosis((
+    select element x.floatField
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int16/kurtosis_int16.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int16/kurtosis_int16.1.ddl.sqlpp
new file mode 100644
index 0000000..21479a2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int16/kurtosis_int16.1.ddl.sqlpp
@@ -0,0 +1,22 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int16/kurtosis_int16.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int16/kurtosis_int16.3.query.sqlpp
new file mode 100644
index 0000000..8f7fcf2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int16/kurtosis_int16.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+select element test.strict_kurtosis((
+    select element x
+    from  [test.smallint('1'),test.smallint('2'),test.smallint('3')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int16_null/kurtosis_int16_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int16_null/kurtosis_int16_null.1.ddl.sqlpp
new file mode 100644
index 0000000..3f2c5bf
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int16_null/kurtosis_int16_null.1.ddl.sqlpp
@@ -0,0 +1,38 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.NumericType as
+{
+  id : integer,
+  int8Field : tinyint?,
+  int16Field : smallint?,
+  int32Field : integer?,
+  int64Field : bigint?,
+  floatField : float?,
+  doubleField : double?
+};
+
+create external  dataset Numeric(NumericType) using localfs((`path`=`asterix_nc1://data/nontagged/numericData.json`),(`format`=`adm`));
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int16_null/kurtosis_int16_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int16_null/kurtosis_int16_null.3.query.sqlpp
new file mode 100644
index 0000000..3bdb6a9
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int16_null/kurtosis_int16_null.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'kurtosis':test.strict_kurtosis((
+    select element x.int16Field
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int32/kurtosis_int32.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int32/kurtosis_int32.1.ddl.sqlpp
new file mode 100644
index 0000000..21479a2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int32/kurtosis_int32.1.ddl.sqlpp
@@ -0,0 +1,22 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int32/kurtosis_int32.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int32/kurtosis_int32.3.query.sqlpp
new file mode 100644
index 0000000..727a60a
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int32/kurtosis_int32.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+select element test.strict_kurtosis((
+    select element x
+    from  [1,2,3] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int32_null/kurtosis_int32_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int32_null/kurtosis_int32_null.1.ddl.sqlpp
new file mode 100644
index 0000000..3f2c5bf
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int32_null/kurtosis_int32_null.1.ddl.sqlpp
@@ -0,0 +1,38 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.NumericType as
+{
+  id : integer,
+  int8Field : tinyint?,
+  int16Field : smallint?,
+  int32Field : integer?,
+  int64Field : bigint?,
+  floatField : float?,
+  doubleField : double?
+};
+
+create external  dataset Numeric(NumericType) using localfs((`path`=`asterix_nc1://data/nontagged/numericData.json`),(`format`=`adm`));
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int32_null/kurtosis_int32_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int32_null/kurtosis_int32_null.3.query.sqlpp
new file mode 100644
index 0000000..9f3b717
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int32_null/kurtosis_int32_null.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'kurtosis':test.strict_kurtosis((
+    select element x.int32Field
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int64/kurtosis_int64.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int64/kurtosis_int64.1.ddl.sqlpp
new file mode 100644
index 0000000..21479a2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int64/kurtosis_int64.1.ddl.sqlpp
@@ -0,0 +1,22 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int64/kurtosis_int64.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int64/kurtosis_int64.3.query.sqlpp
new file mode 100644
index 0000000..107863a
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int64/kurtosis_int64.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+select element test.strict_kurtosis((
+    select element x
+    from  [test.bigint('1'),test.bigint('2'),test.bigint('3')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int64_null/kurtosis_int64_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int64_null/kurtosis_int64_null.1.ddl.sqlpp
new file mode 100644
index 0000000..3f2c5bf
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int64_null/kurtosis_int64_null.1.ddl.sqlpp
@@ -0,0 +1,38 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.NumericType as
+{
+  id : integer,
+  int8Field : tinyint?,
+  int16Field : smallint?,
+  int32Field : integer?,
+  int64Field : bigint?,
+  floatField : float?,
+  doubleField : double?
+};
+
+create external  dataset Numeric(NumericType) using localfs((`path`=`asterix_nc1://data/nontagged/numericData.json`),(`format`=`adm`));
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int64_null/kurtosis_int64_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int64_null/kurtosis_int64_null.3.query.sqlpp
new file mode 100644
index 0000000..1ab2f78
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int64_null/kurtosis_int64_null.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'kurtosis':test.strict_kurtosis((
+    select element x.int64Field
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int8/kurtosis_int8.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int8/kurtosis_int8.1.ddl.sqlpp
new file mode 100644
index 0000000..21479a2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int8/kurtosis_int8.1.ddl.sqlpp
@@ -0,0 +1,22 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int8/kurtosis_int8.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int8/kurtosis_int8.3.query.sqlpp
new file mode 100644
index 0000000..220c3ae
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int8/kurtosis_int8.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+select element test.strict_kurtosis((
+    select element x
+    from  [test.tinyint('1'),test.tinyint('2'),test.tinyint('3')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int8_null/kurtosis_int8_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int8_null/kurtosis_int8_null.1.ddl.sqlpp
new file mode 100644
index 0000000..3f2c5bf
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int8_null/kurtosis_int8_null.1.ddl.sqlpp
@@ -0,0 +1,38 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.NumericType as
+{
+  id : integer,
+  int8Field : tinyint?,
+  int16Field : smallint?,
+  int32Field : integer?,
+  int64Field : bigint?,
+  floatField : float?,
+  doubleField : double?
+};
+
+create external  dataset Numeric(NumericType) using localfs((`path`=`asterix_nc1://data/nontagged/numericData.json`),(`format`=`adm`));
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int8_null/kurtosis_int8_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int8_null/kurtosis_int8_null.3.query.sqlpp
new file mode 100644
index 0000000..3d8a3ce
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_int8_null/kurtosis_int8_null.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'kurtosis':test.strict_kurtosis((
+    select element x.int8Field
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_mixed/kurtosis_mixed.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_mixed/kurtosis_mixed.3.query.sqlpp
new file mode 100644
index 0000000..fa3dc13
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/kurtosis_mixed/kurtosis_mixed.3.query.sqlpp
@@ -0,0 +1,28 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+* Description  : Run kurtosis over an multiset with mixed types
+* Expected Res : Failure
+* Date         : March 5th 2018
+*/
+
+select element strict_kurtosis((
+    select element x
+    from  [float('2.0'),'hello world',93847382783847382,date('2013-01-01')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_kurtosis/scalar_kurtosis.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_kurtosis/scalar_kurtosis.1.ddl.sqlpp
new file mode 100644
index 0000000..37a6cc0
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_kurtosis/scalar_kurtosis.1.ddl.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests the scalar version of kurtosis without nulls.
+ * Success        : Yes
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_kurtosis/scalar_kurtosis.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_kurtosis/scalar_kurtosis.3.query.sqlpp
new file mode 100644
index 0000000..45c00a4
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_kurtosis/scalar_kurtosis.3.query.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests the scalar version of kurtosis without nulls.
+ * Success        : Yes
+ */
+
+use test;
+
+with  i8 as test.strict_kurtosis([test.tinyint('1'),test.tinyint('2'),test.tinyint('3')]),
+      i16 as test.strict_kurtosis([test.smallint('1'),test.smallint('2'),test.smallint('3')]),
+      i32 as test.strict_kurtosis([test.integer('1'),test.integer('2'),test.integer('3')]),
+      i64 as test.strict_kurtosis([test.bigint('1'),test.bigint('2'),test.bigint('3')]),
+      f as test.strict_kurtosis([test.float('1'),test.float('2'),test.float('3')]),
+      d as test.strict_kurtosis([test.double('1'),test.double('2'),test.double('3')])
+select element i
+from  [i8,i16,i32,i64,f,d] as i;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_kurtosis_empty/scalar_kurtosis_empty.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_kurtosis_empty/scalar_kurtosis_empty.1.ddl.sqlpp
new file mode 100644
index 0000000..090d927
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_kurtosis_empty/scalar_kurtosis_empty.1.ddl.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests the scalar version of kurtosis with an empty list.
+ * Success        : Yes
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_kurtosis_empty/scalar_kurtosis_empty.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_kurtosis_empty/scalar_kurtosis_empty.3.query.sqlpp
new file mode 100644
index 0000000..3ebfd4c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_kurtosis_empty/scalar_kurtosis_empty.3.query.sqlpp
@@ -0,0 +1,24 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests the scalar version of kurtosis with an empty list.
+ * Success        : Yes
+ */
+
+select element strict_kurtosis([]);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_kurtosis_null/scalar_kurtosis_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_kurtosis_null/scalar_kurtosis_null.1.ddl.sqlpp
new file mode 100644
index 0000000..b7b457f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_kurtosis_null/scalar_kurtosis_null.1.ddl.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests the scalar version of kurtosis with nulls.
+ * Success        : Yes
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_kurtosis_null/scalar_kurtosis_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_kurtosis_null/scalar_kurtosis_null.3.query.sqlpp
new file mode 100644
index 0000000..42e8ea1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_kurtosis_null/scalar_kurtosis_null.3.query.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests the scalar version of kurtosis with nulls.
+ * Success        : Yes
+ */
+
+use test;
+
+with  i8 as test.strict_kurtosis([test.tinyint('1'),test.tinyint('2'),test.tinyint('3'),null]),
+      i16 as test.strict_kurtosis([test.smallint('1'),test.smallint('2'),test.smallint('3'),null]),
+      i32 as test.strict_kurtosis([test.integer('1'),test.integer('2'),test.integer('3'),null]),
+      i64 as test.strict_kurtosis([test.bigint('1'),test.bigint('2'),test.bigint('3'),null]),
+      f as test.strict_kurtosis([test.float('1'),test.float('2'),test.float('3'),null]),
+      d as test.strict_kurtosis([test.double('1'),test.double('2'),test.double('3'),null])
+select element i
+from  [i8,i16,i32,i64,f,d] as i;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_skewness/scalar_skewness.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_skewness/scalar_skewness.1.ddl.sqlpp
new file mode 100644
index 0000000..cdc53b6
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_skewness/scalar_skewness.1.ddl.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests the scalar version of skewness without nulls.
+ * Success        : Yes
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_skewness/scalar_skewness.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_skewness/scalar_skewness.3.query.sqlpp
new file mode 100644
index 0000000..2616a24
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_skewness/scalar_skewness.3.query.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests the scalar version of skewness without nulls.
+ * Success        : Yes
+ */
+
+use test;
+
+with  i8 as test.strict_skewness([test.tinyint('1'),test.tinyint('2'),test.tinyint('3')]),
+      i16 as test.strict_skewness([test.smallint('1'),test.smallint('2'),test.smallint('3')]),
+      i32 as test.strict_skewness([test.integer('1'),test.integer('2'),test.integer('3')]),
+      i64 as test.strict_skewness([test.bigint('1'),test.bigint('2'),test.bigint('3')]),
+      f as test.strict_skewness([test.float('1'),test.float('2'),test.float('3')]),
+      d as test.strict_skewness([test.double('1'),test.double('2'),test.double('3')])
+select element i
+from  [i8,i16,i32,i64,f,d] as i;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_skewness_empty/scalar_skewness_empty.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_skewness_empty/scalar_skewness_empty.1.ddl.sqlpp
new file mode 100644
index 0000000..94f1e08
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_skewness_empty/scalar_skewness_empty.1.ddl.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests the scalar version of skewness with an empty list.
+ * Success        : Yes
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_skewness_empty/scalar_skewness_empty.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_skewness_empty/scalar_skewness_empty.3.query.sqlpp
new file mode 100644
index 0000000..e5744cd
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_skewness_empty/scalar_skewness_empty.3.query.sqlpp
@@ -0,0 +1,24 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests the scalar version of skewness with an empty list.
+ * Success        : Yes
+ */
+
+select element strict_skewness([]);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_skewness_null/scalar_skewness_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_skewness_null/scalar_skewness_null.1.ddl.sqlpp
new file mode 100644
index 0000000..f6d0e40
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_skewness_null/scalar_skewness_null.1.ddl.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests the scalar version of skewness with nulls.
+ * Success        : Yes
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_skewness_null/scalar_skewness_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_skewness_null/scalar_skewness_null.3.query.sqlpp
new file mode 100644
index 0000000..a33d310
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_skewness_null/scalar_skewness_null.3.query.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests the scalar version of skewness with nulls.
+ * Success        : Yes
+ */
+
+use test;
+
+with  i8 as test.strict_skewness([test.tinyint('1'),test.tinyint('2'),test.tinyint('3'),null]),
+      i16 as test.strict_skewness([test.smallint('1'),test.smallint('2'),test.smallint('3'),null]),
+      i32 as test.strict_skewness([test.integer('1'),test.integer('2'),test.integer('3'),null]),
+      i64 as test.strict_skewness([test.bigint('1'),test.bigint('2'),test.bigint('3'),null]),
+      f as test.strict_skewness([test.float('1'),test.float('2'),test.float('3'),null]),
+      d as test.strict_skewness([test.double('1'),test.double('2'),test.double('3'),null])
+select element i
+from  [i8,i16,i32,i64,f,d] as i;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_stddev/scalar_stddev.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_stddev/scalar_stddev.1.ddl.sqlpp
index 7049419..a49af36 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_stddev/scalar_stddev.1.ddl.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_stddev/scalar_stddev.1.ddl.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 /*
- * Description    : Tests the scalar version of stddev and stddev_pop without nulls.
+ * Description    : Tests the scalar version of stddev_samp and stddev_pop without nulls.
  * Success        : Yes
  */
 
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_stddev/scalar_stddev.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_stddev/scalar_stddev.3.query.sqlpp
index a7c1497..937876a 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_stddev/scalar_stddev.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_stddev/scalar_stddev.3.query.sqlpp
@@ -17,18 +17,18 @@
  * under the License.
  */
 /*
- * Description    : Tests the scalar version of stddev and stddev_pop without nulls.
+ * Description    : Tests the scalar version of stddev_samp and stddev_pop without nulls.
  * Success        : Yes
  */
 
 use test;
 
-{'stddev': (with  i8 as test.strict_stddev([test.tinyint('1'),test.tinyint('2'),test.tinyint('3')]),
-      i16 as test.strict_stddev([test.smallint('1'),test.smallint('2'),test.smallint('3')]),
-      i32 as test.strict_stddev([test.integer('1'),test.integer('2'),test.integer('3')]),
-      i64 as test.strict_stddev([test.bigint('1'),test.bigint('2'),test.bigint('3')]),
-      f as test.strict_stddev([test.float('1'),test.float('2'),test.float('3')]),
-      d as test.strict_stddev([test.double('1'),test.double('2'),test.double('3')])
+{'stddev_samp': (with  i8 as test.strict_stddev_samp([test.tinyint('1'),test.tinyint('2'),test.tinyint('3')]),
+      i16 as test.strict_stddev_samp([test.smallint('1'),test.smallint('2'),test.smallint('3')]),
+      i32 as test.strict_stddev_samp([test.integer('1'),test.integer('2'),test.integer('3')]),
+      i64 as test.strict_stddev_samp([test.bigint('1'),test.bigint('2'),test.bigint('3')]),
+      f as test.strict_stddev_samp([test.float('1'),test.float('2'),test.float('3')]),
+      d as test.strict_stddev_samp([test.double('1'),test.double('2'),test.double('3')])
 select element i
 from  [i8,i16,i32,i64,f,d] as i),
 'stddev_pop': (with  i8 as test.strict_stddev_pop([test.tinyint('1'),test.tinyint('2'),test.tinyint('3')]),
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_stddev_empty/scalar_stddev_empty.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_stddev_empty/scalar_stddev_empty.1.ddl.sqlpp
index 63c85db..d89031c 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_stddev_empty/scalar_stddev_empty.1.ddl.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_stddev_empty/scalar_stddev_empty.1.ddl.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 /*
- * Description    : Tests the scalar version of stddev and stddev_pop with an empty list.
+ * Description    : Tests the scalar version of stddev_samp and stddev_pop with an empty list.
  * Success        : Yes
  */
 
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_stddev_empty/scalar_stddev_empty.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_stddev_empty/scalar_stddev_empty.3.query.sqlpp
index bdccf51..482e4bc 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_stddev_empty/scalar_stddev_empty.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_stddev_empty/scalar_stddev_empty.3.query.sqlpp
@@ -17,9 +17,9 @@
  * under the License.
  */
 /*
- * Description    : Tests the scalar version of stddev and stddev_pop with an empty list.
+ * Description    : Tests the scalar version of stddev_samp and stddev_pop with an empty list.
  * Success        : Yes
  */
 
-{'stddev': (select element strict_stddev([])),
+{'stddev_samp': (select element strict_stddev_samp([])),
 'stddev_pop': (select element strict_stddev_pop([]))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_stddev_null/scalar_stddev_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_stddev_null/scalar_stddev_null.1.ddl.sqlpp
index 487d166..7df9f06 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_stddev_null/scalar_stddev_null.1.ddl.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_stddev_null/scalar_stddev_null.1.ddl.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 /*
- * Description    : Tests the scalar version of stddev and stddev_pop with nulls.
+ * Description    : Tests the scalar version of stddev_samp and stddev_pop with nulls.
  * Success        : Yes
  */
 
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_stddev_null/scalar_stddev_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_stddev_null/scalar_stddev_null.3.query.sqlpp
index d486633..7f24a42 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_stddev_null/scalar_stddev_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_stddev_null/scalar_stddev_null.3.query.sqlpp
@@ -17,18 +17,18 @@
  * under the License.
  */
 /*
- * Description    : Tests the scalar version of stddev and stddev_pop with nulls.
+ * Description    : Tests the scalar version of stddev_samp and stddev_pop with nulls.
  * Success        : Yes
  */
 
 use test;
 
-{'stddev': (with  i8 as test.strict_stddev([test.tinyint('1'),test.tinyint('2'),test.tinyint('3'),null]),
-      i16 as test.strict_stddev([test.smallint('1'),test.smallint('2'),test.smallint('3'),null]),
-      i32 as test.strict_stddev([test.integer('1'),test.integer('2'),test.integer('3'),null]),
-      i64 as test.strict_stddev([test.bigint('1'),test.bigint('2'),test.bigint('3'),null]),
-      f as test.strict_stddev([test.float('1'),test.float('2'),test.float('3'),null]),
-      d as test.strict_stddev([test.double('1'),test.double('2'),test.double('3'),null])
+{'stddev_samp': (with  i8 as test.strict_stddev_samp([test.tinyint('1'),test.tinyint('2'),test.tinyint('3'),null]),
+      i16 as test.strict_stddev_samp([test.smallint('1'),test.smallint('2'),test.smallint('3'),null]),
+      i32 as test.strict_stddev_samp([test.integer('1'),test.integer('2'),test.integer('3'),null]),
+      i64 as test.strict_stddev_samp([test.bigint('1'),test.bigint('2'),test.bigint('3'),null]),
+      f as test.strict_stddev_samp([test.float('1'),test.float('2'),test.float('3'),null]),
+      d as test.strict_stddev_samp([test.double('1'),test.double('2'),test.double('3'),null])
 select element i
 from  [i8,i16,i32,i64,f,d] as i),
 'stddev_pop': (with  i8 as test.strict_stddev_pop([test.tinyint('1'),test.tinyint('2'),test.tinyint('3'),null]),
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_var/scalar_var.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_var/scalar_var.1.ddl.sqlpp
index 3a3a45c..3c18f75 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_var/scalar_var.1.ddl.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_var/scalar_var.1.ddl.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 /*
- * Description    : Tests the scalar version of var and var_pop without nulls.
+ * Description    : Tests the scalar version of var_samp and var_pop without nulls.
  * Success        : Yes
  */
 
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_var/scalar_var.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_var/scalar_var.3.query.sqlpp
index 669e686..7ce4012 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_var/scalar_var.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_var/scalar_var.3.query.sqlpp
@@ -17,18 +17,18 @@
  * under the License.
  */
 /*
- * Description    : Tests the scalar version of var and var_pop without nulls.
+ * Description    : Tests the scalar version of var_samp and var_pop without nulls.
  * Success        : Yes
  */
 
 use test;
 
-{'var': (with  i8 as test.strict_var([test.tinyint('1'),test.tinyint('2'),test.tinyint('3')]),
-      i16 as test.strict_var([test.smallint('1'),test.smallint('2'),test.smallint('3')]),
-      i32 as test.strict_var([test.integer('1'),test.integer('2'),test.integer('3')]),
-      i64 as test.strict_var([test.bigint('1'),test.bigint('2'),test.bigint('3')]),
-      f as test.strict_var([test.float('1'),test.float('2'),test.float('3')]),
-      d as test.strict_var([test.double('1'),test.double('2'),test.double('3')])
+{'var_samp': (with  i8 as test.strict_var_samp([test.tinyint('1'),test.tinyint('2'),test.tinyint('3')]),
+      i16 as test.strict_var_samp([test.smallint('1'),test.smallint('2'),test.smallint('3')]),
+      i32 as test.strict_var_samp([test.integer('1'),test.integer('2'),test.integer('3')]),
+      i64 as test.strict_var_samp([test.bigint('1'),test.bigint('2'),test.bigint('3')]),
+      f as test.strict_var_samp([test.float('1'),test.float('2'),test.float('3')]),
+      d as test.strict_var_samp([test.double('1'),test.double('2'),test.double('3')])
 select element i
 from  [i8,i16,i32,i64,f,d] as i),
 'var_pop': (with  i8 as test.strict_var_pop([test.tinyint('1'),test.tinyint('2'),test.tinyint('3')]),
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_var_empty/scalar_var_empty.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_var_empty/scalar_var_empty.1.ddl.sqlpp
index aceb0a1..6b21d18 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_var_empty/scalar_var_empty.1.ddl.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_var_empty/scalar_var_empty.1.ddl.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 /*
- * Description    : Tests the scalar version of var and var_pop with an empty list.
+ * Description    : Tests the scalar version of var_samp and var_pop with an empty list.
  * Success        : Yes
  */
 
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_var_empty/scalar_var_empty.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_var_empty/scalar_var_empty.3.query.sqlpp
index 35c2a77..ae5e5f3 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_var_empty/scalar_var_empty.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_var_empty/scalar_var_empty.3.query.sqlpp
@@ -17,9 +17,9 @@
  * under the License.
  */
 /*
- * Description    : Tests the scalar version of var and var_pop with an empty list.
+ * Description    : Tests the scalar version of var_samp and var_pop with an empty list.
  * Success        : Yes
  */
 
-{'var': (select element strict_var([])),
+{'var_samp': (select element strict_var_samp([])),
 'var_pop': (select element strict_var_pop([]))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_var_null/scalar_var_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_var_null/scalar_var_null.1.ddl.sqlpp
index 4e53c2f..9571767 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_var_null/scalar_var_null.1.ddl.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_var_null/scalar_var_null.1.ddl.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 /*
- * Description    : Tests the scalar version of var and var_pop with nulls.
+ * Description    : Tests the scalar version of var_samp and var_pop with nulls.
  * Success        : Yes
  */
 
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_var_null/scalar_var_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_var_null/scalar_var_null.3.query.sqlpp
index 1c74d53..f898919 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_var_null/scalar_var_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/scalar_var_null/scalar_var_null.3.query.sqlpp
@@ -17,18 +17,18 @@
  * under the License.
  */
 /*
- * Description    : Tests the scalar version of var and var_pop with nulls.
+ * Description    : Tests the scalar version of var_samp and var_pop with nulls.
  * Success        : Yes
  */
 
 use test;
 
-{'var': (with  i8 as test.strict_var([test.tinyint('1'),test.tinyint('2'),test.tinyint('3'),null]),
-      i16 as test.strict_var([test.smallint('1'),test.smallint('2'),test.smallint('3'),null]),
-      i32 as test.strict_var([test.integer('1'),test.integer('2'),test.integer('3'),null]),
-      i64 as test.strict_var([test.bigint('1'),test.bigint('2'),test.bigint('3'),null]),
-      f as test.strict_var([test.float('1'),test.float('2'),test.float('3'),null]),
-      d as test.strict_var([test.double('1'),test.double('2'),test.double('3'),null])
+{'var_samp': (with  i8 as test.strict_var_samp([test.tinyint('1'),test.tinyint('2'),test.tinyint('3'),null]),
+      i16 as test.strict_var_samp([test.smallint('1'),test.smallint('2'),test.smallint('3'),null]),
+      i32 as test.strict_var_samp([test.integer('1'),test.integer('2'),test.integer('3'),null]),
+      i64 as test.strict_var_samp([test.bigint('1'),test.bigint('2'),test.bigint('3'),null]),
+      f as test.strict_var_samp([test.float('1'),test.float('2'),test.float('3'),null]),
+      d as test.strict_var_samp([test.double('1'),test.double('2'),test.double('3'),null])
 select element i
 from  [i8,i16,i32,i64,f,d] as i),
 'var_pop': (with  i8 as test.strict_var_pop([test.tinyint('1'),test.tinyint('2'),test.tinyint('3'),null]),
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_double/serial_kurtosis_double.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_double/serial_kurtosis_double.1.ddl.sqlpp
new file mode 100644
index 0000000..da0bd7b
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_double/serial_kurtosis_double.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : double
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_double/serial_kurtosis_double.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_double/serial_kurtosis_double.2.update.sqlpp
new file mode 100644
index 0000000..88d820c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_double/serial_kurtosis_double.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':double(4.32),'valplus':double(473847.0)};
+insert into Test
+select element {'id':1,'gid':1,'val':double(5.32)};
+insert into Test
+select element {'id':2,'gid':1,'val':double(6.32),'valplus':double(38473827484738239.0)};
+insert into Test
+select element {'id':3,'gid':1,'val':double(4.32),'valplus':double(678900.0)};
+insert into Test
+select element {'id':4,'gid':1,'val':double(4.32),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_double/serial_kurtosis_double.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_double/serial_kurtosis_double.3.query.sqlpp
new file mode 100644
index 0000000..53ba1cb
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_double/serial_kurtosis_double.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_kurtosis((select value g.val from g)) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(val as val);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_double_null/serial_kurtosis_double_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_double_null/serial_kurtosis_double_null.1.ddl.sqlpp
new file mode 100644
index 0000000..da0bd7b
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_double_null/serial_kurtosis_double_null.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : double
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_double_null/serial_kurtosis_double_null.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_double_null/serial_kurtosis_double_null.2.update.sqlpp
new file mode 100644
index 0000000..88d820c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_double_null/serial_kurtosis_double_null.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':double(4.32),'valplus':double(473847.0)};
+insert into Test
+select element {'id':1,'gid':1,'val':double(5.32)};
+insert into Test
+select element {'id':2,'gid':1,'val':double(6.32),'valplus':double(38473827484738239.0)};
+insert into Test
+select element {'id':3,'gid':1,'val':double(4.32),'valplus':double(678900.0)};
+insert into Test
+select element {'id':4,'gid':1,'val':double(4.32),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_double_null/serial_kurtosis_double_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_double_null/serial_kurtosis_double_null.3.query.sqlpp
new file mode 100644
index 0000000..d8656d3
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_double_null/serial_kurtosis_double_null.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_kurtosis((select value g.valplus from g)) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(valplus as valplus);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_empty/serial_kurtosis_empty.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_empty/serial_kurtosis_empty.1.ddl.sqlpp
new file mode 100644
index 0000000..da0bd7b
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_empty/serial_kurtosis_empty.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : double
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_empty/serial_kurtosis_empty.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_empty/serial_kurtosis_empty.3.query.sqlpp
new file mode 100644
index 0000000..53ba1cb
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_empty/serial_kurtosis_empty.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_kurtosis((select value g.val from g)) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(val as val);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_float/serial_kurtosis_float.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_float/serial_kurtosis_float.1.ddl.sqlpp
new file mode 100644
index 0000000..ddac6a0
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_float/serial_kurtosis_float.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : float
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_float/serial_kurtosis_float.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_float/serial_kurtosis_float.2.update.sqlpp
new file mode 100644
index 0000000..c83ba1c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_float/serial_kurtosis_float.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':float('4.32'),'valplus':float('473847')};
+insert into Test
+select element {'id':1,'gid':1,'val':float('5.32')};
+insert into Test
+select element {'id':2,'gid':1,'val':float('6.32'),'valplus':float('38473827484738239')};
+insert into Test
+select element {'id':3,'gid':1,'val':float('4.32'),'valplus':float('678900')};
+insert into Test
+select element {'id':4,'gid':1,'val':float('4.32'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_float/serial_kurtosis_float.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_float/serial_kurtosis_float.3.query.sqlpp
new file mode 100644
index 0000000..53ba1cb
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_float/serial_kurtosis_float.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_kurtosis((select value g.val from g)) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(val as val);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_float_null/serial_kurtosis_float_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_float_null/serial_kurtosis_float_null.1.ddl.sqlpp
new file mode 100644
index 0000000..ddac6a0
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_float_null/serial_kurtosis_float_null.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : float
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_float_null/serial_kurtosis_float_null.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_float_null/serial_kurtosis_float_null.2.update.sqlpp
new file mode 100644
index 0000000..c83ba1c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_float_null/serial_kurtosis_float_null.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':float('4.32'),'valplus':float('473847')};
+insert into Test
+select element {'id':1,'gid':1,'val':float('5.32')};
+insert into Test
+select element {'id':2,'gid':1,'val':float('6.32'),'valplus':float('38473827484738239')};
+insert into Test
+select element {'id':3,'gid':1,'val':float('4.32'),'valplus':float('678900')};
+insert into Test
+select element {'id':4,'gid':1,'val':float('4.32'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_float_null/serial_kurtosis_float_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_float_null/serial_kurtosis_float_null.3.query.sqlpp
new file mode 100644
index 0000000..d8656d3
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_float_null/serial_kurtosis_float_null.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_kurtosis((select value g.valplus from g)) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(valplus as valplus);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int16/serial_kurtosis_int16.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int16/serial_kurtosis_int16.1.ddl.sqlpp
new file mode 100644
index 0000000..0c0bfee
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int16/serial_kurtosis_int16.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : smallint
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int16/serial_kurtosis_int16.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int16/serial_kurtosis_int16.2.update.sqlpp
new file mode 100644
index 0000000..6210af4
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int16/serial_kurtosis_int16.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':smallint('4'),'valplus':smallint('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':smallint('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':smallint('6'),'valplus':smallint('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':smallint('4'),'valplus':smallint('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':smallint('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int16/serial_kurtosis_int16.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int16/serial_kurtosis_int16.3.query.sqlpp
new file mode 100644
index 0000000..53ba1cb
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int16/serial_kurtosis_int16.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_kurtosis((select value g.val from g)) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(val as val);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int16_null/serial_kurtosis_int16_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int16_null/serial_kurtosis_int16_null.1.ddl.sqlpp
new file mode 100644
index 0000000..0c0bfee
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int16_null/serial_kurtosis_int16_null.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : smallint
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int16_null/serial_kurtosis_int16_null.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int16_null/serial_kurtosis_int16_null.2.update.sqlpp
new file mode 100644
index 0000000..6210af4
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int16_null/serial_kurtosis_int16_null.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':smallint('4'),'valplus':smallint('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':smallint('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':smallint('6'),'valplus':smallint('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':smallint('4'),'valplus':smallint('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':smallint('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int16_null/serial_kurtosis_int16_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int16_null/serial_kurtosis_int16_null.3.query.sqlpp
new file mode 100644
index 0000000..d8656d3
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int16_null/serial_kurtosis_int16_null.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_kurtosis((select value g.valplus from g)) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(valplus as valplus);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int32/serial_kurtosis_int32.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int32/serial_kurtosis_int32.1.ddl.sqlpp
new file mode 100644
index 0000000..07312bf
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int32/serial_kurtosis_int32.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : integer
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int32/serial_kurtosis_int32.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int32/serial_kurtosis_int32.2.update.sqlpp
new file mode 100644
index 0000000..a248a0f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int32/serial_kurtosis_int32.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':integer('4'),'valplus':integer('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':integer('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':integer('6'),'valplus':integer('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':integer('4'),'valplus':integer('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':integer('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int32/serial_kurtosis_int32.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int32/serial_kurtosis_int32.3.query.sqlpp
new file mode 100644
index 0000000..53ba1cb
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int32/serial_kurtosis_int32.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_kurtosis((select value g.val from g)) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(val as val);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int32_null/serial_kurtosis_int32_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int32_null/serial_kurtosis_int32_null.1.ddl.sqlpp
new file mode 100644
index 0000000..07312bf
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int32_null/serial_kurtosis_int32_null.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : integer
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int32_null/serial_kurtosis_int32_null.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int32_null/serial_kurtosis_int32_null.2.update.sqlpp
new file mode 100644
index 0000000..a248a0f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int32_null/serial_kurtosis_int32_null.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':integer('4'),'valplus':integer('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':integer('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':integer('6'),'valplus':integer('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':integer('4'),'valplus':integer('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':integer('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int32_null/serial_kurtosis_int32_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int32_null/serial_kurtosis_int32_null.3.query.sqlpp
new file mode 100644
index 0000000..d8656d3
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int32_null/serial_kurtosis_int32_null.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_kurtosis((select value g.valplus from g)) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(valplus as valplus);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int64/serial_kurtosis_int64.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int64/serial_kurtosis_int64.1.ddl.sqlpp
new file mode 100644
index 0000000..5e9972c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int64/serial_kurtosis_int64.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : bigint
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int64/serial_kurtosis_int64.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int64/serial_kurtosis_int64.2.update.sqlpp
new file mode 100644
index 0000000..b460af2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int64/serial_kurtosis_int64.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':bigint('4'),'valplus':bigint('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':bigint('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':bigint('6'),'valplus':bigint('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':bigint('4'),'valplus':bigint('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':bigint('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int64/serial_kurtosis_int64.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int64/serial_kurtosis_int64.3.query.sqlpp
new file mode 100644
index 0000000..53ba1cb
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int64/serial_kurtosis_int64.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_kurtosis((select value g.val from g)) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(val as val);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int64_null/serial_kurtosis_int64_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int64_null/serial_kurtosis_int64_null.1.ddl.sqlpp
new file mode 100644
index 0000000..5e9972c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int64_null/serial_kurtosis_int64_null.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : bigint
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int64_null/serial_kurtosis_int64_null.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int64_null/serial_kurtosis_int64_null.2.update.sqlpp
new file mode 100644
index 0000000..b460af2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int64_null/serial_kurtosis_int64_null.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':bigint('4'),'valplus':bigint('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':bigint('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':bigint('6'),'valplus':bigint('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':bigint('4'),'valplus':bigint('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':bigint('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int64_null/serial_kurtosis_int64_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int64_null/serial_kurtosis_int64_null.3.query.sqlpp
new file mode 100644
index 0000000..d8656d3
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int64_null/serial_kurtosis_int64_null.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_kurtosis((select value g.valplus from g)) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(valplus as valplus);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int8/serial_kurtosis_int8.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int8/serial_kurtosis_int8.1.ddl.sqlpp
new file mode 100644
index 0000000..c45dbfe
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int8/serial_kurtosis_int8.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : tinyint
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int8/serial_kurtosis_int8.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int8/serial_kurtosis_int8.2.update.sqlpp
new file mode 100644
index 0000000..5a65a20
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int8/serial_kurtosis_int8.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':tinyint('4'),'valplus':tinyint('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':tinyint('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':tinyint('6'),'valplus':tinyint('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':tinyint('4'),'valplus':tinyint('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':tinyint('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int8/serial_kurtosis_int8.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int8/serial_kurtosis_int8.3.query.sqlpp
new file mode 100644
index 0000000..53ba1cb
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int8/serial_kurtosis_int8.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_kurtosis((select value g.val from g)) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(val as val);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int8_null/serial_kurtosis_int8_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int8_null/serial_kurtosis_int8_null.1.ddl.sqlpp
new file mode 100644
index 0000000..c45dbfe
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int8_null/serial_kurtosis_int8_null.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : tinyint
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int8_null/serial_kurtosis_int8_null.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int8_null/serial_kurtosis_int8_null.2.update.sqlpp
new file mode 100644
index 0000000..5a65a20
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int8_null/serial_kurtosis_int8_null.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':tinyint('4'),'valplus':tinyint('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':tinyint('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':tinyint('6'),'valplus':tinyint('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':tinyint('4'),'valplus':tinyint('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':tinyint('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int8_null/serial_kurtosis_int8_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int8_null/serial_kurtosis_int8_null.3.query.sqlpp
new file mode 100644
index 0000000..d8656d3
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_int8_null/serial_kurtosis_int8_null.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_kurtosis((select value g.valplus from g)) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(valplus as valplus);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_mixed/serial_kurtosis_mixed.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_mixed/serial_kurtosis_mixed.1.ddl.sqlpp
new file mode 100644
index 0000000..da0bd7b
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_mixed/serial_kurtosis_mixed.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : double
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_mixed/serial_kurtosis_mixed.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_mixed/serial_kurtosis_mixed.2.update.sqlpp
new file mode 100644
index 0000000..1b4eac9
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_mixed/serial_kurtosis_mixed.2.update.sqlpp
@@ -0,0 +1,29 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':double(4.32),'valplus':float('2.0')};
+insert into Test
+select element {'id':1,'gid':1,'val':double(5.32),'valplus':float('1.0')};
+insert into Test
+select element {'id':2,'gid':1,'val':double(6.32),'valplus':'hello world'};
+insert into Test
+select element {'id':3,'gid':1,'val':double(4.32),'valplus':double('3.0')};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_mixed/serial_kurtosis_mixed.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_mixed/serial_kurtosis_mixed.3.query.sqlpp
new file mode 100644
index 0000000..571a216
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_kurtosis_mixed/serial_kurtosis_mixed.3.query.sqlpp
@@ -0,0 +1,30 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+ /*
+ * Description  : Run serial-kurtosis over an multiset with mixed types
+ * Expected Res : Failure
+ * Date         : March 5th 2018
+ */
+
+use test;
+
+select gid, strict_kurtosis((select value g.valplus from g)) as kurtosis
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(valplus as valplus);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_double/serial_skewness_double.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_double/serial_skewness_double.1.ddl.sqlpp
new file mode 100644
index 0000000..da0bd7b
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_double/serial_skewness_double.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : double
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_double/serial_skewness_double.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_double/serial_skewness_double.2.update.sqlpp
new file mode 100644
index 0000000..88d820c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_double/serial_skewness_double.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':double(4.32),'valplus':double(473847.0)};
+insert into Test
+select element {'id':1,'gid':1,'val':double(5.32)};
+insert into Test
+select element {'id':2,'gid':1,'val':double(6.32),'valplus':double(38473827484738239.0)};
+insert into Test
+select element {'id':3,'gid':1,'val':double(4.32),'valplus':double(678900.0)};
+insert into Test
+select element {'id':4,'gid':1,'val':double(4.32),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_double/serial_skewness_double.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_double/serial_skewness_double.3.query.sqlpp
new file mode 100644
index 0000000..d2022f3
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_double/serial_skewness_double.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_skewness((select value g.val from g)) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(val as val);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_double_null/serial_skewness_double_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_double_null/serial_skewness_double_null.1.ddl.sqlpp
new file mode 100644
index 0000000..da0bd7b
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_double_null/serial_skewness_double_null.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : double
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_double_null/serial_skewness_double_null.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_double_null/serial_skewness_double_null.2.update.sqlpp
new file mode 100644
index 0000000..88d820c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_double_null/serial_skewness_double_null.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':double(4.32),'valplus':double(473847.0)};
+insert into Test
+select element {'id':1,'gid':1,'val':double(5.32)};
+insert into Test
+select element {'id':2,'gid':1,'val':double(6.32),'valplus':double(38473827484738239.0)};
+insert into Test
+select element {'id':3,'gid':1,'val':double(4.32),'valplus':double(678900.0)};
+insert into Test
+select element {'id':4,'gid':1,'val':double(4.32),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_double_null/serial_skewness_double_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_double_null/serial_skewness_double_null.3.query.sqlpp
new file mode 100644
index 0000000..10d167c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_double_null/serial_skewness_double_null.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_skewness((select value g.valplus from g)) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(valplus as valplus);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_empty/serial_skewness_empty.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_empty/serial_skewness_empty.1.ddl.sqlpp
new file mode 100644
index 0000000..da0bd7b
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_empty/serial_skewness_empty.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : double
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_empty/serial_skewness_empty.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_empty/serial_skewness_empty.3.query.sqlpp
new file mode 100644
index 0000000..d2022f3
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_empty/serial_skewness_empty.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_skewness((select value g.val from g)) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(val as val);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_float/serial_skewness_float.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_float/serial_skewness_float.1.ddl.sqlpp
new file mode 100644
index 0000000..ddac6a0
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_float/serial_skewness_float.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : float
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_float/serial_skewness_float.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_float/serial_skewness_float.2.update.sqlpp
new file mode 100644
index 0000000..c83ba1c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_float/serial_skewness_float.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':float('4.32'),'valplus':float('473847')};
+insert into Test
+select element {'id':1,'gid':1,'val':float('5.32')};
+insert into Test
+select element {'id':2,'gid':1,'val':float('6.32'),'valplus':float('38473827484738239')};
+insert into Test
+select element {'id':3,'gid':1,'val':float('4.32'),'valplus':float('678900')};
+insert into Test
+select element {'id':4,'gid':1,'val':float('4.32'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_float/serial_skewness_float.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_float/serial_skewness_float.3.query.sqlpp
new file mode 100644
index 0000000..d2022f3
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_float/serial_skewness_float.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_skewness((select value g.val from g)) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(val as val);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_float_null/serial_skewness_float_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_float_null/serial_skewness_float_null.1.ddl.sqlpp
new file mode 100644
index 0000000..ddac6a0
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_float_null/serial_skewness_float_null.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : float
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_float_null/serial_skewness_float_null.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_float_null/serial_skewness_float_null.2.update.sqlpp
new file mode 100644
index 0000000..c83ba1c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_float_null/serial_skewness_float_null.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':float('4.32'),'valplus':float('473847')};
+insert into Test
+select element {'id':1,'gid':1,'val':float('5.32')};
+insert into Test
+select element {'id':2,'gid':1,'val':float('6.32'),'valplus':float('38473827484738239')};
+insert into Test
+select element {'id':3,'gid':1,'val':float('4.32'),'valplus':float('678900')};
+insert into Test
+select element {'id':4,'gid':1,'val':float('4.32'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_float_null/serial_skewness_float_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_float_null/serial_skewness_float_null.3.query.sqlpp
new file mode 100644
index 0000000..10d167c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_float_null/serial_skewness_float_null.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_skewness((select value g.valplus from g)) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(valplus as valplus);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int16/serial_skewness_int16.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int16/serial_skewness_int16.1.ddl.sqlpp
new file mode 100644
index 0000000..0c0bfee
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int16/serial_skewness_int16.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : smallint
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int16/serial_skewness_int16.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int16/serial_skewness_int16.2.update.sqlpp
new file mode 100644
index 0000000..6210af4
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int16/serial_skewness_int16.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':smallint('4'),'valplus':smallint('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':smallint('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':smallint('6'),'valplus':smallint('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':smallint('4'),'valplus':smallint('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':smallint('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int16/serial_skewness_int16.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int16/serial_skewness_int16.3.query.sqlpp
new file mode 100644
index 0000000..d2022f3
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int16/serial_skewness_int16.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_skewness((select value g.val from g)) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(val as val);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int16_null/serial_skewness_int16_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int16_null/serial_skewness_int16_null.1.ddl.sqlpp
new file mode 100644
index 0000000..0c0bfee
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int16_null/serial_skewness_int16_null.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : smallint
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int16_null/serial_skewness_int16_null.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int16_null/serial_skewness_int16_null.2.update.sqlpp
new file mode 100644
index 0000000..6210af4
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int16_null/serial_skewness_int16_null.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':smallint('4'),'valplus':smallint('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':smallint('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':smallint('6'),'valplus':smallint('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':smallint('4'),'valplus':smallint('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':smallint('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int16_null/serial_skewness_int16_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int16_null/serial_skewness_int16_null.3.query.sqlpp
new file mode 100644
index 0000000..10d167c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int16_null/serial_skewness_int16_null.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_skewness((select value g.valplus from g)) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(valplus as valplus);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int32/serial_skewness_int32.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int32/serial_skewness_int32.1.ddl.sqlpp
new file mode 100644
index 0000000..07312bf
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int32/serial_skewness_int32.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : integer
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int32/serial_skewness_int32.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int32/serial_skewness_int32.2.update.sqlpp
new file mode 100644
index 0000000..a248a0f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int32/serial_skewness_int32.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':integer('4'),'valplus':integer('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':integer('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':integer('6'),'valplus':integer('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':integer('4'),'valplus':integer('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':integer('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int32/serial_skewness_int32.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int32/serial_skewness_int32.3.query.sqlpp
new file mode 100644
index 0000000..d2022f3
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int32/serial_skewness_int32.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_skewness((select value g.val from g)) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(val as val);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int32_null/serial_skewness_int32_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int32_null/serial_skewness_int32_null.1.ddl.sqlpp
new file mode 100644
index 0000000..07312bf
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int32_null/serial_skewness_int32_null.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : integer
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int32_null/serial_skewness_int32_null.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int32_null/serial_skewness_int32_null.2.update.sqlpp
new file mode 100644
index 0000000..a248a0f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int32_null/serial_skewness_int32_null.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':integer('4'),'valplus':integer('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':integer('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':integer('6'),'valplus':integer('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':integer('4'),'valplus':integer('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':integer('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int32_null/serial_skewness_int32_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int32_null/serial_skewness_int32_null.3.query.sqlpp
new file mode 100644
index 0000000..10d167c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int32_null/serial_skewness_int32_null.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_skewness((select value g.valplus from g)) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(valplus as valplus);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int64/serial_skewness_int64.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int64/serial_skewness_int64.1.ddl.sqlpp
new file mode 100644
index 0000000..5e9972c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int64/serial_skewness_int64.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : bigint
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int64/serial_skewness_int64.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int64/serial_skewness_int64.2.update.sqlpp
new file mode 100644
index 0000000..b460af2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int64/serial_skewness_int64.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':bigint('4'),'valplus':bigint('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':bigint('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':bigint('6'),'valplus':bigint('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':bigint('4'),'valplus':bigint('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':bigint('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int64/serial_skewness_int64.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int64/serial_skewness_int64.3.query.sqlpp
new file mode 100644
index 0000000..d2022f3
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int64/serial_skewness_int64.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_skewness((select value g.val from g)) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(val as val);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int64_null/serial_skewness_int64_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int64_null/serial_skewness_int64_null.1.ddl.sqlpp
new file mode 100644
index 0000000..5e9972c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int64_null/serial_skewness_int64_null.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : bigint
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int64_null/serial_skewness_int64_null.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int64_null/serial_skewness_int64_null.2.update.sqlpp
new file mode 100644
index 0000000..b460af2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int64_null/serial_skewness_int64_null.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':bigint('4'),'valplus':bigint('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':bigint('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':bigint('6'),'valplus':bigint('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':bigint('4'),'valplus':bigint('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':bigint('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int64_null/serial_skewness_int64_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int64_null/serial_skewness_int64_null.3.query.sqlpp
new file mode 100644
index 0000000..10d167c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int64_null/serial_skewness_int64_null.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_skewness((select value g.valplus from g)) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(valplus as valplus);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int8/serial_skewness_int8.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int8/serial_skewness_int8.1.ddl.sqlpp
new file mode 100644
index 0000000..c45dbfe
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int8/serial_skewness_int8.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : tinyint
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int8/serial_skewness_int8.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int8/serial_skewness_int8.2.update.sqlpp
new file mode 100644
index 0000000..5a65a20
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int8/serial_skewness_int8.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':tinyint('4'),'valplus':tinyint('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':tinyint('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':tinyint('6'),'valplus':tinyint('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':tinyint('4'),'valplus':tinyint('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':tinyint('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int8/serial_skewness_int8.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int8/serial_skewness_int8.3.query.sqlpp
new file mode 100644
index 0000000..d2022f3
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int8/serial_skewness_int8.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_skewness((select value g.val from g)) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(val as val);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int8_null/serial_skewness_int8_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int8_null/serial_skewness_int8_null.1.ddl.sqlpp
new file mode 100644
index 0000000..c45dbfe
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int8_null/serial_skewness_int8_null.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : tinyint
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int8_null/serial_skewness_int8_null.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int8_null/serial_skewness_int8_null.2.update.sqlpp
new file mode 100644
index 0000000..5a65a20
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int8_null/serial_skewness_int8_null.2.update.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':tinyint('4'),'valplus':tinyint('1')};
+insert into Test
+select element {'id':1,'gid':1,'val':tinyint('5')};
+insert into Test
+select element {'id':2,'gid':1,'val':tinyint('6'),'valplus':tinyint('2')};
+insert into Test
+select element {'id':3,'gid':1,'val':tinyint('4'),'valplus':tinyint('3')};
+insert into Test
+select element {'id':4,'gid':1,'val':tinyint('4'),'valplus':null};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int8_null/serial_skewness_int8_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int8_null/serial_skewness_int8_null.3.query.sqlpp
new file mode 100644
index 0000000..10d167c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_int8_null/serial_skewness_int8_null.3.query.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+select gid, strict_skewness((select value g.valplus from g)) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(valplus as valplus);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_mixed/serial_skewness_mixed.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_mixed/serial_skewness_mixed.1.ddl.sqlpp
new file mode 100644
index 0000000..da0bd7b
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_mixed/serial_skewness_mixed.1.ddl.sqlpp
@@ -0,0 +1,33 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+{
+  id : bigint,
+  gid : bigint,
+  val : double
+};
+
+create  dataset Test(TestType) primary key id;
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_mixed/serial_skewness_mixed.2.update.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_mixed/serial_skewness_mixed.2.update.sqlpp
new file mode 100644
index 0000000..1b4eac9
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_mixed/serial_skewness_mixed.2.update.sqlpp
@@ -0,0 +1,29 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+insert into Test
+select element {'id':0,'gid':1,'val':double(4.32),'valplus':float('2.0')};
+insert into Test
+select element {'id':1,'gid':1,'val':double(5.32),'valplus':float('1.0')};
+insert into Test
+select element {'id':2,'gid':1,'val':double(6.32),'valplus':'hello world'};
+insert into Test
+select element {'id':3,'gid':1,'val':double(4.32),'valplus':double('3.0')};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_mixed/serial_skewness_mixed.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_mixed/serial_skewness_mixed.3.query.sqlpp
new file mode 100644
index 0000000..34aebda
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_skewness_mixed/serial_skewness_mixed.3.query.sqlpp
@@ -0,0 +1,30 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+ /*
+ * Description  : Run serial-skewness over an multiset with mixed types
+ * Expected Res : Failure
+ * Date         : March 5th 2018
+ */
+
+use test;
+
+select gid, strict_skewness((select value g.valplus from g)) as skewness
+from Test as t
+/* +hash */
+group by t.gid as gid group as g(valplus as valplus);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_double/serial_stddev_double.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_double/serial_stddev_double.3.query.sqlpp
index ad787f5..2c585b9 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_double/serial_stddev_double.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_double/serial_stddev_double.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_stddev((select value g.val from g)) as stddev,
+select gid, strict_stddev_samp((select value g.val from g)) as stddev_samp,
    strict_stddev_pop((select value g.val from g)) as stddev_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_double_null/serial_stddev_double_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_double_null/serial_stddev_double_null.3.query.sqlpp
index 3ca4fec..78e08fc 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_double_null/serial_stddev_double_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_double_null/serial_stddev_double_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_stddev((select value g.valplus from g)) as stddev,
+select gid, strict_stddev_samp((select value g.valplus from g)) as stddev_samp,
    strict_stddev_pop((select value g.valplus from g)) as stddev_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_empty/serial_stddev_empty.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_empty/serial_stddev_empty.3.query.sqlpp
index ad787f5..2c585b9 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_empty/serial_stddev_empty.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_empty/serial_stddev_empty.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_stddev((select value g.val from g)) as stddev,
+select gid, strict_stddev_samp((select value g.val from g)) as stddev_samp,
    strict_stddev_pop((select value g.val from g)) as stddev_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_float/serial_stddev_float.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_float/serial_stddev_float.3.query.sqlpp
index ad787f5..2c585b9 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_float/serial_stddev_float.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_float/serial_stddev_float.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_stddev((select value g.val from g)) as stddev,
+select gid, strict_stddev_samp((select value g.val from g)) as stddev_samp,
    strict_stddev_pop((select value g.val from g)) as stddev_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_float_null/serial_stddev_float_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_float_null/serial_stddev_float_null.3.query.sqlpp
index 3ca4fec..78e08fc 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_float_null/serial_stddev_float_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_float_null/serial_stddev_float_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_stddev((select value g.valplus from g)) as stddev,
+select gid, strict_stddev_samp((select value g.valplus from g)) as stddev_samp,
    strict_stddev_pop((select value g.valplus from g)) as stddev_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int16/serial_stddev_int16.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int16/serial_stddev_int16.3.query.sqlpp
index ad787f5..2c585b9 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int16/serial_stddev_int16.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int16/serial_stddev_int16.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_stddev((select value g.val from g)) as stddev,
+select gid, strict_stddev_samp((select value g.val from g)) as stddev_samp,
    strict_stddev_pop((select value g.val from g)) as stddev_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int16_null/serial_stddev_int16_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int16_null/serial_stddev_int16_null.3.query.sqlpp
index 3ca4fec..78e08fc 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int16_null/serial_stddev_int16_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int16_null/serial_stddev_int16_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_stddev((select value g.valplus from g)) as stddev,
+select gid, strict_stddev_samp((select value g.valplus from g)) as stddev_samp,
    strict_stddev_pop((select value g.valplus from g)) as stddev_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int32/serial_stddev_int32.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int32/serial_stddev_int32.3.query.sqlpp
index ad787f5..2c585b9 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int32/serial_stddev_int32.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int32/serial_stddev_int32.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_stddev((select value g.val from g)) as stddev,
+select gid, strict_stddev_samp((select value g.val from g)) as stddev_samp,
    strict_stddev_pop((select value g.val from g)) as stddev_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int32_null/serial_stddev_int32_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int32_null/serial_stddev_int32_null.3.query.sqlpp
index 3ca4fec..78e08fc 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int32_null/serial_stddev_int32_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int32_null/serial_stddev_int32_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_stddev((select value g.valplus from g)) as stddev,
+select gid, strict_stddev_samp((select value g.valplus from g)) as stddev_samp,
    strict_stddev_pop((select value g.valplus from g)) as stddev_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int64/serial_stddev_int64.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int64/serial_stddev_int64.3.query.sqlpp
index ad787f5..2c585b9 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int64/serial_stddev_int64.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int64/serial_stddev_int64.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_stddev((select value g.val from g)) as stddev,
+select gid, strict_stddev_samp((select value g.val from g)) as stddev_samp,
    strict_stddev_pop((select value g.val from g)) as stddev_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int64_null/serial_stddev_int64_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int64_null/serial_stddev_int64_null.3.query.sqlpp
index 3ca4fec..78e08fc 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int64_null/serial_stddev_int64_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int64_null/serial_stddev_int64_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_stddev((select value g.valplus from g)) as stddev,
+select gid, strict_stddev_samp((select value g.valplus from g)) as stddev_samp,
    strict_stddev_pop((select value g.valplus from g)) as stddev_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int8/serial_stddev_int8.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int8/serial_stddev_int8.3.query.sqlpp
index ad787f5..2c585b9 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int8/serial_stddev_int8.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int8/serial_stddev_int8.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_stddev((select value g.val from g)) as stddev,
+select gid, strict_stddev_samp((select value g.val from g)) as stddev_samp,
    strict_stddev_pop((select value g.val from g)) as stddev_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int8_null/serial_stddev_int8_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int8_null/serial_stddev_int8_null.3.query.sqlpp
index 3ca4fec..78e08fc 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int8_null/serial_stddev_int8_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_int8_null/serial_stddev_int8_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_stddev((select value g.valplus from g)) as stddev,
+select gid, strict_stddev_samp((select value g.valplus from g)) as stddev_samp,
    strict_stddev_pop((select value g.valplus from g)) as stddev_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_mixed/serial_stddev_mixed.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_mixed/serial_stddev_mixed.3.query.sqlpp
index d7889c2..edbf8d5 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_mixed/serial_stddev_mixed.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_stddev_mixed/serial_stddev_mixed.3.query.sqlpp
@@ -17,14 +17,14 @@
  * under the License.
  */
  /*
- * Description  : Run serial-stddev over an multiset with mixed types
+ * Description  : Run serial-stddev_samp over an multiset with mixed types
  * Expected Res : Failure
  * Date         : March 5th 2018
  */
 
 use test;
 
-select gid, strict_stddev((select value g.valplus from g)) as stddev
+select gid, strict_stddev_samp((select value g.valplus from g)) as stddev_samp
 from Test as t
 /* +hash */
 group by t.gid as gid group as g(valplus as valplus);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_double/serial_var_double.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_double/serial_var_double.3.query.sqlpp
index 23e33cc..67559cd 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_double/serial_var_double.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_double/serial_var_double.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_var((select value g.val from g)) as var,
+select gid, strict_var_samp((select value g.val from g)) as var_samp,
    strict_var_pop((select value g.val from g)) as var_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_double_null/serial_var_double_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_double_null/serial_var_double_null.3.query.sqlpp
index 7116737..6952afb 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_double_null/serial_var_double_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_double_null/serial_var_double_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_var((select value g.valplus from g)) as var,
+select gid, strict_var_samp((select value g.valplus from g)) as var_samp,
    strict_var_pop((select value g.valplus from g)) as var_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_empty/serial_var_empty.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_empty/serial_var_empty.3.query.sqlpp
index 23e33cc..67559cd 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_empty/serial_var_empty.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_empty/serial_var_empty.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_var((select value g.val from g)) as var,
+select gid, strict_var_samp((select value g.val from g)) as var_samp,
    strict_var_pop((select value g.val from g)) as var_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_float/serial_var_float.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_float/serial_var_float.3.query.sqlpp
index 23e33cc..67559cd 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_float/serial_var_float.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_float/serial_var_float.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_var((select value g.val from g)) as var,
+select gid, strict_var_samp((select value g.val from g)) as var_samp,
    strict_var_pop((select value g.val from g)) as var_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_float_null/serial_var_float_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_float_null/serial_var_float_null.3.query.sqlpp
index 7116737..6952afb 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_float_null/serial_var_float_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_float_null/serial_var_float_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_var((select value g.valplus from g)) as var,
+select gid, strict_var_samp((select value g.valplus from g)) as var_samp,
    strict_var_pop((select value g.valplus from g)) as var_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int16/serial_var_int16.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int16/serial_var_int16.3.query.sqlpp
index 23e33cc..67559cd 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int16/serial_var_int16.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int16/serial_var_int16.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_var((select value g.val from g)) as var,
+select gid, strict_var_samp((select value g.val from g)) as var_samp,
    strict_var_pop((select value g.val from g)) as var_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int16_null/serial_var_int16_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int16_null/serial_var_int16_null.3.query.sqlpp
index 7116737..6952afb 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int16_null/serial_var_int16_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int16_null/serial_var_int16_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_var((select value g.valplus from g)) as var,
+select gid, strict_var_samp((select value g.valplus from g)) as var_samp,
    strict_var_pop((select value g.valplus from g)) as var_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int32/serial_var_int32.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int32/serial_var_int32.3.query.sqlpp
index 23e33cc..67559cd 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int32/serial_var_int32.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int32/serial_var_int32.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_var((select value g.val from g)) as var,
+select gid, strict_var_samp((select value g.val from g)) as var_samp,
    strict_var_pop((select value g.val from g)) as var_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int32_null/serial_var_int32_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int32_null/serial_var_int32_null.3.query.sqlpp
index 7116737..6952afb 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int32_null/serial_var_int32_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int32_null/serial_var_int32_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_var((select value g.valplus from g)) as var,
+select gid, strict_var_samp((select value g.valplus from g)) as var_samp,
    strict_var_pop((select value g.valplus from g)) as var_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int64/serial_var_int64.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int64/serial_var_int64.3.query.sqlpp
index 23e33cc..67559cd 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int64/serial_var_int64.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int64/serial_var_int64.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_var((select value g.val from g)) as var,
+select gid, strict_var_samp((select value g.val from g)) as var_samp,
    strict_var_pop((select value g.val from g)) as var_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int64_null/serial_var_int64_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int64_null/serial_var_int64_null.3.query.sqlpp
index 7116737..6952afb 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int64_null/serial_var_int64_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int64_null/serial_var_int64_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_var((select value g.valplus from g)) as var,
+select gid, strict_var_samp((select value g.valplus from g)) as var_samp,
    strict_var_pop((select value g.valplus from g)) as var_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int8/serial_var_int8.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int8/serial_var_int8.3.query.sqlpp
index 23e33cc..67559cd 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int8/serial_var_int8.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int8/serial_var_int8.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_var((select value g.val from g)) as var,
+select gid, strict_var_samp((select value g.val from g)) as var_samp,
    strict_var_pop((select value g.val from g)) as var_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int8_null/serial_var_int8_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int8_null/serial_var_int8_null.3.query.sqlpp
index 7116737..6952afb 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int8_null/serial_var_int8_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_int8_null/serial_var_int8_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-select gid, strict_var((select value g.valplus from g)) as var,
+select gid, strict_var_samp((select value g.valplus from g)) as var_samp,
    strict_var_pop((select value g.valplus from g)) as var_pop
 from Test as t
 /* +hash */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_mixed/serial_var_mixed.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_mixed/serial_var_mixed.3.query.sqlpp
index 4f7a31f..0fe7cc2 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_mixed/serial_var_mixed.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/serial_var_mixed/serial_var_mixed.3.query.sqlpp
@@ -17,14 +17,14 @@
  * under the License.
  */
  /*
- * Description  : Run serial-var over an multiset with mixed types
+ * Description  : Run serial-var_samp over an multiset with mixed types
  * Expected Res : Failure
  * Date         : March 5th 2018
  */
 
 use test;
 
-select gid, strict_var((select value g.valplus from g)) as var
+select gid, strict_var_samp((select value g.valplus from g)) as var_samp
 from Test as t
 /* +hash */
 group by t.gid as gid group as g(valplus as valplus);
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_distinct/skewness_distinct.1.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_distinct/skewness_distinct.1.query.sqlpp
new file mode 100644
index 0000000..612132b
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_distinct/skewness_distinct.1.query.sqlpp
@@ -0,0 +1,24 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+ {
+   't1': to_bigint(strict_skewness(distinct [10,20,30,10,20,30,10])),
+   't2': to_bigint(strict_skewness(distinct [null,missing,null,missing])),
+   't3': to_bigint(strict_skewness(distinct [40,null,missing,50,40,null,missing,50,40])),
+   't4': to_bigint(strict_skewness(distinct []))
+ };
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_double/skewness_double.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_double/skewness_double.1.ddl.sqlpp
new file mode 100644
index 0000000..ad97753
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_double/skewness_double.1.ddl.sqlpp
@@ -0,0 +1,25 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_double/skewness_double.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_double/skewness_double.3.query.sqlpp
new file mode 100644
index 0000000..2d09a13
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_double/skewness_double.3.query.sqlpp
@@ -0,0 +1,23 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+select element strict_skewness((
+    select element x
+    from  [1.0,2.0,double('3.0')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_double_null/skewness_double_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_double_null/skewness_double_null.1.ddl.sqlpp
new file mode 100644
index 0000000..3f2c5bf
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_double_null/skewness_double_null.1.ddl.sqlpp
@@ -0,0 +1,38 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.NumericType as
+{
+  id : integer,
+  int8Field : tinyint?,
+  int16Field : smallint?,
+  int32Field : integer?,
+  int64Field : bigint?,
+  floatField : float?,
+  doubleField : double?
+};
+
+create external  dataset Numeric(NumericType) using localfs((`path`=`asterix_nc1://data/nontagged/numericData.json`),(`format`=`adm`));
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_double_null/skewness_double_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_double_null/skewness_double_null.3.query.sqlpp
new file mode 100644
index 0000000..e54a3c5
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_double_null/skewness_double_null.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'skewness':test.strict_skewness((
+    select element x.doubleField
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_empty_01/skewness_empty_01.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_empty_01/skewness_empty_01.1.ddl.sqlpp
new file mode 100644
index 0000000..f6ac910
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_empty_01/skewness_empty_01.1.ddl.sqlpp
@@ -0,0 +1,27 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests that skewness aggregation correctly returns null for an empty stream,
+ *                  without an aggregate combiner.
+ * Success        : Yes
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_empty_01/skewness_empty_01.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_empty_01/skewness_empty_01.3.query.sqlpp
new file mode 100644
index 0000000..a548063
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_empty_01/skewness_empty_01.3.query.sqlpp
@@ -0,0 +1,32 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests that skewness aggregation correctly returns null for an empty stream,
+ *                  without an aggregate combiner.
+ * Success        : Yes
+ */
+
+use test;
+
+
+select element test.strict_skewness((
+    select element x
+    from  [1,2,3] as x
+    where (x > 10)
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_empty_02/skewness_empty_02.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_empty_02/skewness_empty_02.1.ddl.sqlpp
new file mode 100644
index 0000000..0d38d53
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_empty_02/skewness_empty_02.1.ddl.sqlpp
@@ -0,0 +1,38 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests that skewness aggregation correctly returns null for an empty stream,
+ *                  with an aggregate combiner.
+ * Success        : Yes
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.TestType as
+ closed {
+  id : integer,
+  val : double
+};
+
+create  dataset Test(TestType) primary key id;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_empty_02/skewness_empty_02.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_empty_02/skewness_empty_02.3.query.sqlpp
new file mode 100644
index 0000000..6bc89d8
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_empty_02/skewness_empty_02.3.query.sqlpp
@@ -0,0 +1,31 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+ * Description    : Tests that skewness aggregation correctly returns null for an empty stream,
+ *                  with an aggregate combiner.
+ * Success        : Yes
+ */
+
+use test;
+
+
+select element test.strict_skewness((
+    select element x.val
+    from  Test as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_float/skewness_float.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_float/skewness_float.1.ddl.sqlpp
new file mode 100644
index 0000000..21479a2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_float/skewness_float.1.ddl.sqlpp
@@ -0,0 +1,22 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_float/skewness_float.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_float/skewness_float.3.query.sqlpp
new file mode 100644
index 0000000..1a5bfda
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_float/skewness_float.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+select element test.strict_skewness((
+    select element x
+    from  [test.float('1'),test.float('2'),test.float('3')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_float_null/skewness_float_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_float_null/skewness_float_null.1.ddl.sqlpp
new file mode 100644
index 0000000..3f2c5bf
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_float_null/skewness_float_null.1.ddl.sqlpp
@@ -0,0 +1,38 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.NumericType as
+{
+  id : integer,
+  int8Field : tinyint?,
+  int16Field : smallint?,
+  int32Field : integer?,
+  int64Field : bigint?,
+  floatField : float?,
+  doubleField : double?
+};
+
+create external  dataset Numeric(NumericType) using localfs((`path`=`asterix_nc1://data/nontagged/numericData.json`),(`format`=`adm`));
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_float_null/skewness_float_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_float_null/skewness_float_null.3.query.sqlpp
new file mode 100644
index 0000000..c34c163
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_float_null/skewness_float_null.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'skewness':test.strict_skewness((
+    select element x.floatField
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int16/skewness_int16.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int16/skewness_int16.1.ddl.sqlpp
new file mode 100644
index 0000000..21479a2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int16/skewness_int16.1.ddl.sqlpp
@@ -0,0 +1,22 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int16/skewness_int16.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int16/skewness_int16.3.query.sqlpp
new file mode 100644
index 0000000..c584a75
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int16/skewness_int16.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+select element test.strict_skewness((
+    select element x
+    from  [test.smallint('1'),test.smallint('2'),test.smallint('3')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int16_null/skewness_int16_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int16_null/skewness_int16_null.1.ddl.sqlpp
new file mode 100644
index 0000000..3f2c5bf
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int16_null/skewness_int16_null.1.ddl.sqlpp
@@ -0,0 +1,38 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.NumericType as
+{
+  id : integer,
+  int8Field : tinyint?,
+  int16Field : smallint?,
+  int32Field : integer?,
+  int64Field : bigint?,
+  floatField : float?,
+  doubleField : double?
+};
+
+create external  dataset Numeric(NumericType) using localfs((`path`=`asterix_nc1://data/nontagged/numericData.json`),(`format`=`adm`));
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int16_null/skewness_int16_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int16_null/skewness_int16_null.3.query.sqlpp
new file mode 100644
index 0000000..9ce8023
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int16_null/skewness_int16_null.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'skewness':test.strict_skewness((
+    select element x.int16Field
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int32/skewness_int32.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int32/skewness_int32.1.ddl.sqlpp
new file mode 100644
index 0000000..21479a2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int32/skewness_int32.1.ddl.sqlpp
@@ -0,0 +1,22 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int32/skewness_int32.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int32/skewness_int32.3.query.sqlpp
new file mode 100644
index 0000000..7faa1c6
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int32/skewness_int32.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+select element test.strict_skewness((
+    select element x
+    from  [1,2,3] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int32_null/skewness_int32_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int32_null/skewness_int32_null.1.ddl.sqlpp
new file mode 100644
index 0000000..3f2c5bf
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int32_null/skewness_int32_null.1.ddl.sqlpp
@@ -0,0 +1,38 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.NumericType as
+{
+  id : integer,
+  int8Field : tinyint?,
+  int16Field : smallint?,
+  int32Field : integer?,
+  int64Field : bigint?,
+  floatField : float?,
+  doubleField : double?
+};
+
+create external  dataset Numeric(NumericType) using localfs((`path`=`asterix_nc1://data/nontagged/numericData.json`),(`format`=`adm`));
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int32_null/skewness_int32_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int32_null/skewness_int32_null.3.query.sqlpp
new file mode 100644
index 0000000..8ccb452
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int32_null/skewness_int32_null.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'skewness':test.strict_skewness((
+    select element x.int32Field
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int64/skewness_int64.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int64/skewness_int64.1.ddl.sqlpp
new file mode 100644
index 0000000..21479a2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int64/skewness_int64.1.ddl.sqlpp
@@ -0,0 +1,22 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int64/skewness_int64.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int64/skewness_int64.3.query.sqlpp
new file mode 100644
index 0000000..3fe0279
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int64/skewness_int64.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+select element test.strict_skewness((
+    select element x
+    from  [test.bigint('1'),test.bigint('2'),test.bigint('3')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int64_null/skewness_int64_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int64_null/skewness_int64_null.1.ddl.sqlpp
new file mode 100644
index 0000000..3f2c5bf
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int64_null/skewness_int64_null.1.ddl.sqlpp
@@ -0,0 +1,38 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.NumericType as
+{
+  id : integer,
+  int8Field : tinyint?,
+  int16Field : smallint?,
+  int32Field : integer?,
+  int64Field : bigint?,
+  floatField : float?,
+  doubleField : double?
+};
+
+create external  dataset Numeric(NumericType) using localfs((`path`=`asterix_nc1://data/nontagged/numericData.json`),(`format`=`adm`));
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int64_null/skewness_int64_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int64_null/skewness_int64_null.3.query.sqlpp
new file mode 100644
index 0000000..4e03b41
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int64_null/skewness_int64_null.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'skewness':test.strict_skewness((
+    select element x.int64Field
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int8/skewness_int8.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int8/skewness_int8.1.ddl.sqlpp
new file mode 100644
index 0000000..21479a2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int8/skewness_int8.1.ddl.sqlpp
@@ -0,0 +1,22 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int8/skewness_int8.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int8/skewness_int8.3.query.sqlpp
new file mode 100644
index 0000000..9e13a2b
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int8/skewness_int8.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+select element test.strict_skewness((
+    select element x
+    from  [test.tinyint('1'),test.tinyint('2'),test.tinyint('3')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int8_null/skewness_int8_null.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int8_null/skewness_int8_null.1.ddl.sqlpp
new file mode 100644
index 0000000..3f2c5bf
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int8_null/skewness_int8_null.1.ddl.sqlpp
@@ -0,0 +1,38 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+drop  dataverse test if exists;
+create  dataverse test;
+
+use test;
+
+
+create type test.NumericType as
+{
+  id : integer,
+  int8Field : tinyint?,
+  int16Field : smallint?,
+  int32Field : integer?,
+  int64Field : bigint?,
+  floatField : float?,
+  doubleField : double?
+};
+
+create external  dataset Numeric(NumericType) using localfs((`path`=`asterix_nc1://data/nontagged/numericData.json`),(`format`=`adm`));
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int8_null/skewness_int8_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int8_null/skewness_int8_null.3.query.sqlpp
new file mode 100644
index 0000000..e6b390f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_int8_null/skewness_int8_null.3.query.sqlpp
@@ -0,0 +1,26 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+use test;
+
+
+{'skewness':test.strict_skewness((
+    select element x.int8Field
+    from  Numeric as x
+))};
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_mixed/skewness_mixed.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_mixed/skewness_mixed.3.query.sqlpp
new file mode 100644
index 0000000..19bee68
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/skewness_mixed/skewness_mixed.3.query.sqlpp
@@ -0,0 +1,28 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+/*
+* Description  : Run skewness over an multiset with mixed types
+* Expected Res : Failure
+* Date         : March 5th 2018
+*/
+
+select element strict_skewness((
+    select element x
+    from  [float('2.0'),'hello world',93847382783847382,date('2013-01-01')] as x
+));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_distinct/stddev_distinct.1.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_distinct/stddev_distinct.1.query.sqlpp
index ee5b28c..4932339 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_distinct/stddev_distinct.1.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_distinct/stddev_distinct.1.query.sqlpp
@@ -17,10 +17,10 @@
  * under the License.
  */
  {
-   't1': to_bigint(strict_stddev(distinct [10,20,30,10,20,30,10])),
-   't2': to_bigint(strict_stddev(distinct [null,missing,null,missing])),
-   't3': to_bigint(strict_stddev(distinct [40,null,missing,50,40,null,missing,50,40])),
-   't4': to_bigint(strict_stddev(distinct [])),
+   't1': to_bigint(strict_stddev_samp(distinct [10,20,30,10,20,30,10])),
+   't2': to_bigint(strict_stddev_samp(distinct [null,missing,null,missing])),
+   't3': to_bigint(strict_stddev_samp(distinct [40,null,missing,50,40,null,missing,50,40])),
+   't4': to_bigint(strict_stddev_samp(distinct [])),
    't5': to_bigint(strict_stddev_pop(distinct [10,20,30,10,20,30,10])),
    't6': to_bigint(strict_stddev_pop(distinct [null,missing,null,missing])),
    't7': to_bigint(strict_stddev_pop(distinct [40,null,missing,50,40,null,missing,50,40])),
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_double/stddev_double.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_double/stddev_double.3.query.sqlpp
index 6ec48bd..a02f088 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_double/stddev_double.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_double/stddev_double.3.query.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 
-{'stddev':(select element strict_stddev((
+{'stddev_samp':(select element strict_stddev_samp((
     select element x
     from  [1.0,2.0,double('3.0')] as x
 ))), 'stddev_pop': (select element strict_stddev_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_double_null/stddev_double_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_double_null/stddev_double_null.3.query.sqlpp
index b8970f0..1bc4da0 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_double_null/stddev_double_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_double_null/stddev_double_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-{'stddev':test.strict_stddev((
+{'stddev_samp':test.strict_stddev_samp((
     select element x.doubleField
     from  Numeric as x
 )), 'stddev_pop':test.strict_stddev_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_empty_01/stddev_empty_01.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_empty_01/stddev_empty_01.1.ddl.sqlpp
index 8ec3e08..307a359 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_empty_01/stddev_empty_01.1.ddl.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_empty_01/stddev_empty_01.1.ddl.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 /*
- * Description    : Tests that stddev aggregation correctly returns null for an empty stream,
+ * Description    : Tests that stddev_samp aggregation correctly returns null for an empty stream,
  *                  without an aggregate combiner.
  * Success        : Yes
  */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_empty_01/stddev_empty_01.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_empty_01/stddev_empty_01.3.query.sqlpp
index 7c02b5d..c50927a 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_empty_01/stddev_empty_01.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_empty_01/stddev_empty_01.3.query.sqlpp
@@ -17,14 +17,14 @@
  * under the License.
  */
 /*
- * Description    : Tests that stddev aggregation correctly returns null for an empty stream,
+ * Description    : Tests that stddev_samp aggregation correctly returns null for an empty stream,
  *                  without an aggregate combiner.
  * Success        : Yes
  */
 
 use test;
 
-{'stddev': (select element test.strict_stddev((
+{'stddev_samp': (select element test.strict_stddev_samp((
     select element x
     from  [1,2,3] as x
     where (x > 10)
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_empty_02/stddev_empty_02.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_empty_02/stddev_empty_02.1.ddl.sqlpp
index ac9ee8f..4d40712 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_empty_02/stddev_empty_02.1.ddl.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_empty_02/stddev_empty_02.1.ddl.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 /*
- * Description    : Tests that stddev aggregation correctly returns null for an empty stream,
+ * Description    : Tests that stddev_samp aggregation correctly returns null for an empty stream,
  *                  with an aggregate combiner.
  * Success        : Yes
  */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_empty_02/stddev_empty_02.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_empty_02/stddev_empty_02.3.query.sqlpp
index 00ef2a5..4d53b40 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_empty_02/stddev_empty_02.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_empty_02/stddev_empty_02.3.query.sqlpp
@@ -17,14 +17,14 @@
  * under the License.
  */
 /*
- * Description    : Tests that stddev aggregation correctly returns null for an empty stream,
+ * Description    : Tests that stddev_samp aggregation correctly returns null for an empty stream,
  *                  with an aggregate combiner.
  * Success        : Yes
  */
 
 use test;
 
-{'stddev': (select element test.strict_stddev((
+{'stddev_samp': (select element test.strict_stddev_samp((
     select element x.val
     from  Test as x
 ))), 'stddev_pop': (select element test.strict_stddev_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_float/stddev_float.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_float/stddev_float.3.query.sqlpp
index 7d93d5f..12576a5 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_float/stddev_float.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_float/stddev_float.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'stddev': (select element test.strict_stddev((
+{'stddev_samp': (select element test.strict_stddev_samp((
     select element x
     from  [test.float('1'),test.float('2'),test.float('3')] as x
 ))), 'stddev_pop': (select element test.strict_stddev_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_float_null/stddev_float_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_float_null/stddev_float_null.3.query.sqlpp
index 8953da9..d36b889 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_float_null/stddev_float_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_float_null/stddev_float_null.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'stddev':test.strict_stddev((
+{'stddev_samp':test.strict_stddev_samp((
     select element x.floatField
     from  Numeric as x
 )), 'stddev_pop':test.strict_stddev_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int16/stddev_int16.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int16/stddev_int16.3.query.sqlpp
index 3c8b633..fccd854 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int16/stddev_int16.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int16/stddev_int16.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'stddev': (select element test.strict_stddev((
+{'stddev_samp': (select element test.strict_stddev_samp((
     select element x
     from  [test.smallint('1'),test.smallint('2'),test.smallint('3')] as x
 ))), 'stddev_pop': (select element test.strict_stddev_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int16_null/stddev_int16_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int16_null/stddev_int16_null.3.query.sqlpp
index 314b28f..00b1a00 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int16_null/stddev_int16_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int16_null/stddev_int16_null.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'stddev':test.strict_stddev((
+{'stddev_samp':test.strict_stddev_samp((
     select element x.int16Field
     from  Numeric as x
 )), 'stddev_pop':test.strict_stddev_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int32/stddev_int32.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int32/stddev_int32.3.query.sqlpp
index 9f4fd0d..68a4c4c 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int32/stddev_int32.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int32/stddev_int32.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'stddev': (select element test.strict_stddev((
+{'stddev_samp': (select element test.strict_stddev_samp((
     select element x
     from  [1,2,3] as x
 ))), 'stddev_pop': (select element test.strict_stddev_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int32_null/stddev_int32_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int32_null/stddev_int32_null.3.query.sqlpp
index 404532c..a53b924 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int32_null/stddev_int32_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int32_null/stddev_int32_null.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'stddev':test.strict_stddev((
+{'stddev_samp':test.strict_stddev_samp((
     select element x.int32Field
     from  Numeric as x
 )), 'stddev_pop':test.strict_stddev_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int64/stddev_int64.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int64/stddev_int64.3.query.sqlpp
index 4d42043..9b3037f 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int64/stddev_int64.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int64/stddev_int64.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'stddev': (select element test.strict_stddev((
+{'stddev_samp': (select element test.strict_stddev_samp((
     select element x
     from  [test.bigint('1'),test.bigint('2'),test.bigint('3')] as x
 ))), 'stddev_pop': (select element test.strict_stddev_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int64_null/stddev_int64_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int64_null/stddev_int64_null.3.query.sqlpp
index a5808a8..d764180 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int64_null/stddev_int64_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int64_null/stddev_int64_null.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'stddev':test.strict_stddev((
+{'stddev_samp':test.strict_stddev_samp((
     select element x.int64Field
     from  Numeric as x
 )), 'stddev_pop':test.strict_stddev_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int8/stddev_int8.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int8/stddev_int8.3.query.sqlpp
index ba6d178..73e084d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int8/stddev_int8.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int8/stddev_int8.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'stddev': (select element test.strict_stddev((
+{'stddev_samp': (select element test.strict_stddev_samp((
     select element x
     from  [test.tinyint('1'),test.tinyint('2'),test.tinyint('3')] as x
 ))), 'stddev_pop': (select element test.strict_stddev_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int8_null/stddev_int8_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int8_null/stddev_int8_null.3.query.sqlpp
index f1d1c9b..22c5357 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int8_null/stddev_int8_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_int8_null/stddev_int8_null.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'stddev':test.strict_stddev((
+{'stddev_samp':test.strict_stddev_samp((
     select element x.int8Field
     from  Numeric as x
 )), 'stddev_pop':test.strict_stddev_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_mixed/stddev_mixed.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_mixed/stddev_mixed.3.query.sqlpp
index ebdc53b..1bdda05 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_mixed/stddev_mixed.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/stddev_mixed/stddev_mixed.3.query.sqlpp
@@ -17,12 +17,12 @@
  * under the License.
  */
 /*
-* Description  : Run stddev over an multiset with mixed types
+* Description  : Run stddev_samp over an multiset with mixed types
 * Expected Res : Failure
 * Date         : March 5th 2018
 */
 
-select element strict_stddev((
+select element strict_stddev_samp((
     select element x
     from  [float('2.0'),'hello world',93847382783847382,date('2013-01-01')] as x
 ));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_distinct/var_distinct.1.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_distinct/var_distinct.1.query.sqlpp
index 1a6c6ef..f732512 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_distinct/var_distinct.1.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_distinct/var_distinct.1.query.sqlpp
@@ -17,10 +17,10 @@
  * under the License.
  */
  {
-   't1': to_bigint(strict_var(distinct [10,20,30,10,20,30,10])),
-   't2': to_bigint(strict_var(distinct [null,missing,null,missing])),
-   't3': to_bigint(strict_var(distinct [40,null,missing,50,40,null,missing,50,40])),
-   't4': to_bigint(strict_var(distinct [])),
+   't1': to_bigint(strict_var_samp(distinct [10,20,30,10,20,30,10])),
+   't2': to_bigint(strict_var_samp(distinct [null,missing,null,missing])),
+   't3': to_bigint(strict_var_samp(distinct [40,null,missing,50,40,null,missing,50,40])),
+   't4': to_bigint(strict_var_samp(distinct [])),
    't5': to_bigint(strict_var_pop(distinct [10,20,30,10,20,30,10])),
    't6': to_bigint(strict_var_pop(distinct [null,missing,null,missing])),
    't7': to_bigint(strict_var_pop(distinct [40,null,missing,50,40,null,missing,50,40])),
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_double/var_double.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_double/var_double.3.query.sqlpp
index c86f158..385743f 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_double/var_double.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_double/var_double.3.query.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 
-{'var':(select element strict_var((
+{'var_samp':(select element strict_var_samp((
     select element x
     from  [1.0,2.0,double('3.0')] as x
 ))), 'var_pop': (select element strict_var_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_double_null/var_double_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_double_null/var_double_null.3.query.sqlpp
index 028f030..3e325d8 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_double_null/var_double_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_double_null/var_double_null.3.query.sqlpp
@@ -19,7 +19,7 @@
 
 use test;
 
-{'var':test.strict_var((
+{'var_samp':test.strict_var_samp((
     select element x.doubleField
     from  Numeric as x
 )), 'var_pop':test.strict_var_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_empty_01/var_empty_01.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_empty_01/var_empty_01.1.ddl.sqlpp
index 5f589a8..db68c0e 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_empty_01/var_empty_01.1.ddl.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_empty_01/var_empty_01.1.ddl.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 /*
- * Description    : Tests that var aggregation correctly returns null for an empty stream,
+ * Description    : Tests that var_samp and var_pop aggregation correctly returns null for an empty stream,
  *                  without an aggregate combiner.
  * Success        : Yes
  */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_empty_01/var_empty_01.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_empty_01/var_empty_01.3.query.sqlpp
index 3dc4380..7430c7b 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_empty_01/var_empty_01.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_empty_01/var_empty_01.3.query.sqlpp
@@ -17,14 +17,14 @@
  * under the License.
  */
 /*
- * Description    : Tests that var aggregation correctly returns null for an empty stream,
+ * Description    : Tests that var_samp and var_pop aggregation correctly returns null for an empty stream,
  *                  without an aggregate combiner.
  * Success        : Yes
  */
 
 use test;
 
-{'var': (select element test.strict_var((
+{'var_samp': (select element test.strict_var_samp((
     select element x
     from  [1,2,3] as x
     where (x > 10)
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_empty_02/var_empty_02.1.ddl.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_empty_02/var_empty_02.1.ddl.sqlpp
index c218aa2..27754d1 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_empty_02/var_empty_02.1.ddl.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_empty_02/var_empty_02.1.ddl.sqlpp
@@ -17,7 +17,7 @@
  * under the License.
  */
 /*
- * Description    : Tests that var aggregation correctly returns null for an empty stream,
+ * Description    : Tests that var_samp and var_pop aggregation correctly returns null for an empty stream,
  *                  with an aggregate combiner.
  * Success        : Yes
  */
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_empty_02/var_empty_02.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_empty_02/var_empty_02.3.query.sqlpp
index 986f49c..b6f0cba 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_empty_02/var_empty_02.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_empty_02/var_empty_02.3.query.sqlpp
@@ -17,14 +17,14 @@
  * under the License.
  */
 /*
- * Description    : Tests that var aggregation correctly returns null for an empty stream,
+ * Description    : Tests that var_samp and var_pop aggregation correctly returns null for an empty stream,
  *                  with an aggregate combiner.
  * Success        : Yes
  */
 
 use test;
 
-{'var': (select element test.strict_var((
+{'var_samp': (select element test.strict_var_samp((
     select element x.val
     from  Test as x
 ))), 'var_pop': (select element test.strict_var_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_float/var_float.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_float/var_float.3.query.sqlpp
index 79e8f24..151d21f 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_float/var_float.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_float/var_float.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'var': (select element test.strict_var((
+{'var_samp': (select element test.strict_var_samp((
     select element x
     from  [test.float('1'),test.float('2'),test.float('3')] as x
 ))), 'var_pop': (select element test.strict_var_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_float_null/var_float_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_float_null/var_float_null.3.query.sqlpp
index 72005cc..8eabb3f 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_float_null/var_float_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_float_null/var_float_null.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'var':test.strict_var((
+{'var_samp':test.strict_var_samp((
     select element x.floatField
     from  Numeric as x
 )), 'var_pop':test.strict_var_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int16/var_int16.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int16/var_int16.3.query.sqlpp
index 396c430..fe09402 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int16/var_int16.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int16/var_int16.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'var': (select element test.strict_var((
+{'var_samp': (select element test.strict_var_samp((
     select element x
     from  [test.smallint('1'),test.smallint('2'),test.smallint('3')] as x
 ))), 'var_pop': (select element test.strict_var_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int16_null/var_int16_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int16_null/var_int16_null.3.query.sqlpp
index 2db7bb1..dcb0243 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int16_null/var_int16_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int16_null/var_int16_null.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'var':test.strict_var((
+{'var_samp':test.strict_var_samp((
     select element x.int16Field
     from  Numeric as x
 )), 'var_pop':test.strict_var_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int32/var_int32.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int32/var_int32.3.query.sqlpp
index e04dd4c..2dfe26a 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int32/var_int32.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int32/var_int32.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'var': (select element test.strict_var((
+{'var_samp': (select element test.strict_var_samp((
     select element x
     from  [1,2,3] as x
 ))), 'var_pop': (select element test.strict_var_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int32_null/var_int32_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int32_null/var_int32_null.3.query.sqlpp
index 2a6ccf7..2ced8a6 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int32_null/var_int32_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int32_null/var_int32_null.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'var':test.strict_var((
+{'var_samp':test.strict_var_samp((
     select element x.int32Field
     from  Numeric as x
 )), 'var_pop':test.strict_var_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int64/var_int64.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int64/var_int64.3.query.sqlpp
index 082552a..eee3f5f 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int64/var_int64.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int64/var_int64.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'var': (select element test.strict_var((
+{'var_samp': (select element test.strict_var_samp((
     select element x
     from  [test.bigint('1'),test.bigint('2'),test.bigint('3')] as x
 ))), 'var_pop': (select element test.strict_var_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int64_null/var_int64_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int64_null/var_int64_null.3.query.sqlpp
index 0d988c6..37bdeb0 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int64_null/var_int64_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int64_null/var_int64_null.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'var':test.strict_var((
+{'var_samp':test.strict_var_samp((
     select element x.int64Field
     from  Numeric as x
 )), 'var_pop':test.strict_var_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int8/var_int8.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int8/var_int8.3.query.sqlpp
index 6965f4e..63eb872 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int8/var_int8.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int8/var_int8.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'var': (select element test.strict_var((
+{'var_samp': (select element test.strict_var_samp((
     select element x
     from  [test.tinyint('1'),test.tinyint('2'),test.tinyint('3')] as x
 ))), 'var_pop': (select element test.strict_var_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int8_null/var_int8_null.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int8_null/var_int8_null.3.query.sqlpp
index d661a87..2052b99 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int8_null/var_int8_null.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_int8_null/var_int8_null.3.query.sqlpp
@@ -20,7 +20,7 @@
 use test;
 
 
-{'var':test.strict_var((
+{'var_samp':test.strict_var_samp((
     select element x.int8Field
     from  Numeric as x
 )), 'var_pop':test.strict_var_pop((
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_mixed/var_mixed.3.query.sqlpp b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_mixed/var_mixed.3.query.sqlpp
index 761a4d2..863b69d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_mixed/var_mixed.3.query.sqlpp
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/queries_sqlpp/aggregate/var_mixed/var_mixed.3.query.sqlpp
@@ -17,12 +17,12 @@
  * under the License.
  */
 /*
-* Description  : Run var over an multiset with mixed types
+* Description  : Run var_samp over an multiset with mixed types
 * Expected Res : Failure
 * Date         : March 5th 2018
 */
 
-select element strict_var((
+select element strict_var_samp((
     select element x
     from  [float('2.0'),'hello world',93847382783847382,date('2013-01-01')] as x
 ));
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/agg_null/agg_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/agg_null/agg_null.1.adm
index f99998e..ff9f275 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/agg_null/agg_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/agg_null/agg_null.1.adm
@@ -1 +1 @@
-{ "sql-count1": 0, "average1": null, "sql-sum1": null, "sql-min1": null, "sql-max1": null, "sql-stddev1": null, "sql-stddev_pop1": null, "sql-var1": null, "sql-var_pop1": null, "sql-count2": 0, "average2": null, "sql-sum2": null, "sql-min2": null, "sql-max2": null, "sql-stddev2": null, "sql-stddev_pop2": null, "sql-var2": null, "sql-var_pop2": null }
+{ "sql-count1": 0, "average1": null, "sql-sum1": null, "sql-min1": null, "sql-max1": null, "sql-stddev_samp1": null, "sql-stddev_pop1": null, "sql-var_samp1": null, "sql-var_pop1": null, "sql-skewness1": null, "sql-kurtosis1": null, "sql-count2": 0, "average2": null, "sql-sum2": null, "sql-min2": null, "sql-max2": null, "sql-stddev_samp2": null, "sql-stddev_pop2": null, "sql-var_samp2": null, "sql-var_pop2": null, "sql-skewness2": null, "sql-kurtosis2": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/agg_null_rec/agg_null_rec.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/agg_null_rec/agg_null_rec.1.adm
index 7041077..6afe638 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/agg_null_rec/agg_null_rec.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/agg_null_rec/agg_null_rec.1.adm
@@ -1 +1 @@
-{ "sql-count": 2, "average": 26.0, "sql-stddev": 7.0710678118654755, "sql-stddev_pop": 5.0, "sql-var": 50.0, "sql-var_pop": 25.0, "sql-sum": 52, "sql-min": 21, "sql-max": 31 }
+{ "sql-count": 2, "average": 26.0, "sql-stddev_samp": 7.0710678118654755, "sql-stddev_pop": 5.0, "sql-var_samp": 50.0, "sql-var_pop": 25.0, "sql-skewness": null, "sql-kurtosis": null, "sql-sum": 52, "sql-min": 21, "sql-max": 31 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/agg_null_rec_1/agg_null_rec.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/agg_null_rec_1/agg_null_rec.1.adm
index d0fa295..7e26472 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/agg_null_rec_1/agg_null_rec.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/agg_null_rec_1/agg_null_rec.1.adm
@@ -1 +1 @@
-{ "sql-count": 3, "average": 5.32, "sql-sum": 15.96, "sql-stddev": 2.720510431232472E16, "sql-stddev_pop": 1.9236913742132196E16, "sql-var": 7.40117700644469E32, "sql-var_pop": 3.700588503222345E32, "sql-min": 473847, "sql-max": 38473827484738239 }
+{ "sql-count": 3, "average": 5.32, "sql-sum": 15.96, "sql-stddev_samp": 2.720510431232472E16, "sql-stddev_pop": 1.9236913742132196E16, "sql-var_samp": 7.40117700644469E32, "sql-var_pop": 3.700588503222345E32, "sql-skewness": null, "sql-kurtosis": null, "sql-min": 473847, "sql-max": 38473827484738239 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/agg_number/agg_number.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/agg_number/agg_number.1.adm
index 08843c5..5b9fb13 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/agg_number/agg_number.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/agg_number/agg_number.1.adm
@@ -1 +1 @@
-{ "sql-count1": 4, "average1": 2.3461845695961844E16, "sql-stddev1": 4.6923691391923688E16, "sql-stddev_pop1": 4.0637108784747104E16, "sql-var1": 2.2018328138444933E33, "sql-var_pop1": 1.65137461038337E33, "sql-count2": 4, "average2": 2.3461845695961844E16, "sql-stddev2": 4.6923691391923688E16, "sql-stddev_pop2": 4.0637108784747104E16, "sql-var2": 2.2018328138444933E33, "sql-var_pop2": 1.65137461038337E33, "sql-sum1": 9.3847382783847376E16, "sql-min1": 1.0, "sql-max1": 9.3847382783847376E16, "sql-sum2": 9.3847382783847376E16, "sql-min2": 1.0, "sql-max2": 9.3847382783847376E16 }
+{ "sql-count1": 4, "average1": 2.3461845695961844E16, "sql-stddev_samp1": 4.6923691391923688E16, "sql-stddev_pop1": 4.0637108784747104E16, "sql-var_samp1": 2.2018328138444933E33, "sql-var_pop1": 1.65137461038337E33, "sql-skewness1": 1.1547005383792517, "sql-kurtosis1": -0.6666666666666665, "sql-count2": 4, "average2": 2.3461845695961844E16, "sql-stddev_samp2": 4.6923691391923688E16, "sql-stddev_pop2": 4.0637108784747104E16, "sql-var_samp2": 2.2018328138444933E33, "sql-var_pop2": 1.65137461038337E33, "sql-skewness2": 1.1547005383792517, "sql-kurtosis2": -0.6666666666666665, "sql-sum1": 9.3847382783847376E16, "sql-min1": 1.0, "sql-max1": 9.3847382783847376E16, "sql-sum2": 9.3847382783847376E16, "sql-min2": 1.0, "sql-max2": 9.3847382783847376E16 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/agg_number_rec/agg_number_rec.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/agg_number_rec/agg_number_rec.1.adm
index 0a8fb2f..81960dd 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/agg_number_rec/agg_number_rec.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/agg_number_rec/agg_number_rec.1.adm
@@ -1 +1 @@
-{ "sql-count": 3, "average": 1.2824609161579424E16, "sql-stddev": 2.2212874655068836E16, "sql-stddev_pop": 1.8136736208439848E16, "sql-var": 4.934118004417994E32, "sql-var_pop": 3.28941200294533E32, "sql-sum": 3.8473827484738272E16, "sql-min": 2.0, "sql-max": 3.847382748473824E16 }
+{ "sql-count": 3, "average": 1.2824609161579424E16, "sql-stddev_samp": 2.2212874655068836E16, "sql-stddev_pop": 1.8136736208439848E16, "sql-var_samp": 4.934118004417994E32, "sql-var_pop": 3.28941200294533E32, "sql-skewness": 0.7071067811865476, "sql-kurtosis": -1.5, "sql-sum": 3.8473827484738272E16, "sql-min": 2.0, "sql-max": 3.847382748473824E16 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_distinct/kurtosis_distinct.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_distinct/kurtosis_distinct.1.adm
new file mode 100644
index 0000000..0f3644d
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_distinct/kurtosis_distinct.1.adm
@@ -0,0 +1 @@
+{ "t1": -2, "t2": null, "t3": null, "t4": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_double/kurtosis_double.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_double/kurtosis_double.1.adm
new file mode 100644
index 0000000..a6fadae
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_double/kurtosis_double.1.adm
@@ -0,0 +1 @@
+-1.5
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_double_null/kurtosis_double_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_double_null/kurtosis_double_null.1.adm
new file mode 100644
index 0000000..79acf81
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_double_null/kurtosis_double_null.1.adm
@@ -0,0 +1 @@
+{ "kurtosis": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_empty_01/kurtosis_empty_01.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_empty_01/kurtosis_empty_01.1.adm
new file mode 100644
index 0000000..19765bd
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_empty_01/kurtosis_empty_01.1.adm
@@ -0,0 +1 @@
+null
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_empty_02/kurtosis_empty_02.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_empty_02/kurtosis_empty_02.1.adm
new file mode 100644
index 0000000..19765bd
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_empty_02/kurtosis_empty_02.1.adm
@@ -0,0 +1 @@
+null
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_float/kurtosis_float.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_float/kurtosis_float.1.adm
new file mode 100644
index 0000000..a6fadae
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_float/kurtosis_float.1.adm
@@ -0,0 +1 @@
+-1.5
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_float_null/kurtosis_float_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_float_null/kurtosis_float_null.1.adm
new file mode 100644
index 0000000..79acf81
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_float_null/kurtosis_float_null.1.adm
@@ -0,0 +1 @@
+{ "kurtosis": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_int16/kurtosis_int16.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_int16/kurtosis_int16.1.adm
new file mode 100644
index 0000000..a6fadae
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_int16/kurtosis_int16.1.adm
@@ -0,0 +1 @@
+-1.5
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_int16_null/kurtosis_int16_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_int16_null/kurtosis_int16_null.1.adm
new file mode 100644
index 0000000..79acf81
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_int16_null/kurtosis_int16_null.1.adm
@@ -0,0 +1 @@
+{ "kurtosis": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_int32/kurtosis_int32.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_int32/kurtosis_int32.1.adm
new file mode 100644
index 0000000..a6fadae
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_int32/kurtosis_int32.1.adm
@@ -0,0 +1 @@
+-1.5
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_int32_null/kurtosis_int32_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_int32_null/kurtosis_int32_null.1.adm
new file mode 100644
index 0000000..79acf81
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_int32_null/kurtosis_int32_null.1.adm
@@ -0,0 +1 @@
+{ "kurtosis": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_int64/kurtosis_int64.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_int64/kurtosis_int64.1.adm
new file mode 100644
index 0000000..a6fadae
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_int64/kurtosis_int64.1.adm
@@ -0,0 +1 @@
+-1.5
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_int64_null/kurtosis_int64_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_int64_null/kurtosis_int64_null.1.adm
new file mode 100644
index 0000000..79acf81
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_int64_null/kurtosis_int64_null.1.adm
@@ -0,0 +1 @@
+{ "kurtosis": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_int8/kurtosis_int8.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_int8/kurtosis_int8.1.adm
new file mode 100644
index 0000000..a6fadae
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_int8/kurtosis_int8.1.adm
@@ -0,0 +1 @@
+-1.5
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_int8_null/kurtosis_int8_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_int8_null/kurtosis_int8_null.1.adm
new file mode 100644
index 0000000..e4ae234
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_int8_null/kurtosis_int8_null.1.adm
@@ -0,0 +1 @@
+{ "kurtosis": -1.5 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_mixed/kurtosis_mixed.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_mixed/kurtosis_mixed.1.adm
new file mode 100644
index 0000000..e3b97f5
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/kurtosis_mixed/kurtosis_mixed.1.adm
@@ -0,0 +1 @@
+[  ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_kurtosis/scalar_kurtosis.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_kurtosis/scalar_kurtosis.1.adm
new file mode 100644
index 0000000..ab27df6
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_kurtosis/scalar_kurtosis.1.adm
@@ -0,0 +1,6 @@
+-1.5
+-1.5
+-1.5
+-1.5
+-1.5
+-1.5
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_kurtosis_empty/scalar_kurtosis_empty.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_kurtosis_empty/scalar_kurtosis_empty.1.adm
new file mode 100644
index 0000000..19765bd
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_kurtosis_empty/scalar_kurtosis_empty.1.adm
@@ -0,0 +1 @@
+null
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_kurtosis_null/scalar_kurtosis_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_kurtosis_null/scalar_kurtosis_null.1.adm
new file mode 100644
index 0000000..ab27df6
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_kurtosis_null/scalar_kurtosis_null.1.adm
@@ -0,0 +1,6 @@
+-1.5
+-1.5
+-1.5
+-1.5
+-1.5
+-1.5
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_skewness/scalar_skewness.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_skewness/scalar_skewness.1.adm
new file mode 100644
index 0000000..46223ba
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_skewness/scalar_skewness.1.adm
@@ -0,0 +1,6 @@
+0.0
+0.0
+0.0
+0.0
+0.0
+0.0
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_skewness_empty/scalar_skewness_empty.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_skewness_empty/scalar_skewness_empty.1.adm
new file mode 100644
index 0000000..19765bd
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_skewness_empty/scalar_skewness_empty.1.adm
@@ -0,0 +1 @@
+null
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_skewness_null/scalar_skewness_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_skewness_null/scalar_skewness_null.1.adm
new file mode 100644
index 0000000..46223ba
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_skewness_null/scalar_skewness_null.1.adm
@@ -0,0 +1,6 @@
+0.0
+0.0
+0.0
+0.0
+0.0
+0.0
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_stddev/scalar_stddev.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_stddev/scalar_stddev.1.adm
index 16c838c..02ed68e 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_stddev/scalar_stddev.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_stddev/scalar_stddev.1.adm
@@ -1 +1 @@
-{ "stddev": [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ], "stddev_pop": [ 0.816496580927726, 0.816496580927726, 0.816496580927726, 0.816496580927726, 0.816496580927726, 0.816496580927726 ] }
+{ "stddev_samp": [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ], "stddev_pop": [ 0.816496580927726, 0.816496580927726, 0.816496580927726, 0.816496580927726, 0.816496580927726, 0.816496580927726 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_stddev_empty/scalar_stddev_empty.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_stddev_empty/scalar_stddev_empty.1.adm
index eb24dcb..9549671 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_stddev_empty/scalar_stddev_empty.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_stddev_empty/scalar_stddev_empty.1.adm
@@ -1 +1 @@
-{ "stddev": [ null ], "stddev_pop": [ null ] }
+{ "stddev_samp": [ null ], "stddev_pop": [ null ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_stddev_null/scalar_stddev_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_stddev_null/scalar_stddev_null.1.adm
index 16c838c..02ed68e 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_stddev_null/scalar_stddev_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_stddev_null/scalar_stddev_null.1.adm
@@ -1 +1 @@
-{ "stddev": [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ], "stddev_pop": [ 0.816496580927726, 0.816496580927726, 0.816496580927726, 0.816496580927726, 0.816496580927726, 0.816496580927726 ] }
+{ "stddev_samp": [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ], "stddev_pop": [ 0.816496580927726, 0.816496580927726, 0.816496580927726, 0.816496580927726, 0.816496580927726, 0.816496580927726 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_var/scalar_var.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_var/scalar_var.1.adm
index 8b66369..b3a0444 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_var/scalar_var.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_var/scalar_var.1.adm
@@ -1 +1 @@
-{ "var": [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ], "var_pop": [ 0.6666666666666666, 0.6666666666666666, 0.6666666666666666, 0.6666666666666666, 0.6666666666666666, 0.6666666666666666 ] }
+{ "var_samp": [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ], "var_pop": [ 0.6666666666666666, 0.6666666666666666, 0.6666666666666666, 0.6666666666666666, 0.6666666666666666, 0.6666666666666666 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_var_empty/scalar_var_empty.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_var_empty/scalar_var_empty.1.adm
index abf4b45..7a82d03 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_var_empty/scalar_var_empty.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_var_empty/scalar_var_empty.1.adm
@@ -1 +1 @@
-{ "var": [ null ], "var_pop": [ null ] }
+{ "var_samp": [ null ], "var_pop": [ null ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_var_null/scalar_var_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_var_null/scalar_var_null.1.adm
index 8b66369..b3a0444 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_var_null/scalar_var_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/scalar_var_null/scalar_var_null.1.adm
@@ -1 +1 @@
-{ "var": [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ], "var_pop": [ 0.6666666666666666, 0.6666666666666666, 0.6666666666666666, 0.6666666666666666, 0.6666666666666666, 0.6666666666666666 ] }
+{ "var_samp": [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ], "var_pop": [ 0.6666666666666666, 0.6666666666666666, 0.6666666666666666, 0.6666666666666666, 0.6666666666666666, 0.6666666666666666 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_double/serial_kurtosis_double.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_double/serial_kurtosis_double.1.adm
new file mode 100644
index 0000000..80f5e78
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_double/serial_kurtosis_double.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "kurtosis": 2.9392265193370157 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_double_null/serial_kurtosis_double_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_double_null/serial_kurtosis_double_null.1.adm
new file mode 100644
index 0000000..f557115
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_double_null/serial_kurtosis_double_null.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "kurtosis": 1.4999999999999998 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_empty/serial_kurtosis_empty.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_empty/serial_kurtosis_empty.1.adm
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_empty/serial_kurtosis_empty.1.adm
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_float/serial_kurtosis_float.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_float/serial_kurtosis_float.1.adm
new file mode 100644
index 0000000..80f5e78
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_float/serial_kurtosis_float.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "kurtosis": 2.9392265193370157 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_float_null/serial_kurtosis_float_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_float_null/serial_kurtosis_float_null.1.adm
new file mode 100644
index 0000000..628c1c1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_float_null/serial_kurtosis_float_null.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "kurtosis": 6.0 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_int16/serial_kurtosis_int16.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_int16/serial_kurtosis_int16.1.adm
new file mode 100644
index 0000000..80f5e78
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_int16/serial_kurtosis_int16.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "kurtosis": 2.9392265193370157 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_int16_null/serial_kurtosis_int16_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_int16_null/serial_kurtosis_int16_null.1.adm
new file mode 100644
index 0000000..628c1c1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_int16_null/serial_kurtosis_int16_null.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "kurtosis": 6.0 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_int32/serial_kurtosis_int32.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_int32/serial_kurtosis_int32.1.adm
new file mode 100644
index 0000000..80f5e78
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_int32/serial_kurtosis_int32.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "kurtosis": 2.9392265193370157 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_int32_null/serial_kurtosis_int32_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_int32_null/serial_kurtosis_int32_null.1.adm
new file mode 100644
index 0000000..628c1c1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_int32_null/serial_kurtosis_int32_null.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "kurtosis": 6.0 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_int64/serial_kurtosis_int64.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_int64/serial_kurtosis_int64.1.adm
new file mode 100644
index 0000000..80f5e78
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_int64/serial_kurtosis_int64.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "kurtosis": 2.9392265193370157 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_int64_null/serial_kurtosis_int64_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_int64_null/serial_kurtosis_int64_null.1.adm
new file mode 100644
index 0000000..628c1c1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_int64_null/serial_kurtosis_int64_null.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "kurtosis": 6.0 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_int8/serial_kurtosis_int8.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_int8/serial_kurtosis_int8.1.adm
new file mode 100644
index 0000000..80f5e78
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_int8/serial_kurtosis_int8.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "kurtosis": 2.9392265193370157 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_int8_null/serial_kurtosis_int8_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_int8_null/serial_kurtosis_int8_null.1.adm
new file mode 100644
index 0000000..628c1c1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_int8_null/serial_kurtosis_int8_null.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "kurtosis": 6.0 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_mixed/serial_kurtosis_mixed.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_mixed/serial_kurtosis_mixed.1.adm
new file mode 100644
index 0000000..e3b97f5
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_kurtosis_mixed/serial_kurtosis_mixed.1.adm
@@ -0,0 +1 @@
+[  ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_double/serial_skewness_double.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_double/serial_skewness_double.1.adm
new file mode 100644
index 0000000..e0e3f62
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_double/serial_skewness_double.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "skewness": 0.8437499999999999 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_double_null/serial_skewness_double_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_double_null/serial_skewness_double_null.1.adm
new file mode 100644
index 0000000..a1408ba
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_double_null/serial_skewness_double_null.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "skewness": 0.7071067811865474 }
\ No newline at end of file
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_empty/serial_skewness_empty.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_empty/serial_skewness_empty.1.adm
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_empty/serial_skewness_empty.1.adm
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_float/serial_skewness_float.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_float/serial_skewness_float.1.adm
new file mode 100644
index 0000000..e0e3f62
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_float/serial_skewness_float.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "skewness": 0.8437499999999999 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_float_null/serial_skewness_float_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_float_null/serial_skewness_float_null.1.adm
new file mode 100644
index 0000000..efbd615
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_float_null/serial_skewness_float_null.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "skewness": 0.0 }
\ No newline at end of file
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_int16/serial_skewness_int16.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_int16/serial_skewness_int16.1.adm
new file mode 100644
index 0000000..e0e3f62
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_int16/serial_skewness_int16.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "skewness": 0.8437499999999999 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_int16_null/serial_skewness_int16_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_int16_null/serial_skewness_int16_null.1.adm
new file mode 100644
index 0000000..9425bae
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_int16_null/serial_skewness_int16_null.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "skewness": 0.0 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_int32/serial_skewness_int32.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_int32/serial_skewness_int32.1.adm
new file mode 100644
index 0000000..e0e3f62
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_int32/serial_skewness_int32.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "skewness": 0.8437499999999999 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_int32_null/serial_skewness_int32_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_int32_null/serial_skewness_int32_null.1.adm
new file mode 100644
index 0000000..9425bae
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_int32_null/serial_skewness_int32_null.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "skewness": 0.0 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_int64/serial_skewness_int64.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_int64/serial_skewness_int64.1.adm
new file mode 100644
index 0000000..e0e3f62
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_int64/serial_skewness_int64.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "skewness": 0.8437499999999999 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_int64_null/serial_skewness_int64_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_int64_null/serial_skewness_int64_null.1.adm
new file mode 100644
index 0000000..9425bae
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_int64_null/serial_skewness_int64_null.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "skewness": 0.0 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_int8/serial_skewness_int8.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_int8/serial_skewness_int8.1.adm
new file mode 100644
index 0000000..e0e3f62
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_int8/serial_skewness_int8.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "skewness": 0.8437499999999999 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_int8_null/serial_skewness_int8_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_int8_null/serial_skewness_int8_null.1.adm
new file mode 100644
index 0000000..9425bae
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_int8_null/serial_skewness_int8_null.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "skewness": 0.0 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_mixed/serial_skewness_mixed.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_mixed/serial_skewness_mixed.1.adm
new file mode 100644
index 0000000..e3b97f5
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_skewness_mixed/serial_skewness_mixed.1.adm
@@ -0,0 +1 @@
+[  ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_double/serial_stddev_double.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_double/serial_stddev_double.1.adm
index 4e89687..90579d8 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_double/serial_stddev_double.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_double/serial_stddev_double.1.adm
@@ -1 +1 @@
-{ "gid": 1, "stddev": 0.8944271909999159, "stddev_pop": 0.8 }
+{ "gid": 1, "stddev_samp": 0.8944271909999159, "stddev_pop": 0.8 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_double_null/serial_stddev_double_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_double_null/serial_stddev_double_null.1.adm
index c71ba21..2de435b 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_double_null/serial_stddev_double_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_double_null/serial_stddev_double_null.1.adm
@@ -1 +1 @@
-{ "gid": 1, "stddev": 2.2212874654736076E16, "stddev_pop": 1.8136736208168148E16 }
+{ "gid": 1, "stddev_samp": 2.2212874654736076E16, "stddev_pop": 1.8136736208168148E16 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_float/serial_stddev_float.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_float/serial_stddev_float.1.adm
index 4e89687..90579d8 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_float/serial_stddev_float.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_float/serial_stddev_float.1.adm
@@ -1 +1 @@
-{ "gid": 1, "stddev": 0.8944271909999159, "stddev_pop": 0.8 }
+{ "gid": 1, "stddev_samp": 0.8944271909999159, "stddev_pop": 0.8 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_float_null/serial_stddev_float_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_float_null/serial_stddev_float_null.1.adm
index daa09e6..7af690c 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_float_null/serial_stddev_float_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_float_null/serial_stddev_float_null.1.adm
@@ -1 +1 @@
-{ "gid": 1, "stddev": 1.0, "stddev_pop": 0.816496580927726 }
+{ "gid": 1, "stddev_samp": 1.0, "stddev_pop": 0.816496580927726 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int16/serial_stddev_int16.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int16/serial_stddev_int16.1.adm
index 4e89687..90579d8 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int16/serial_stddev_int16.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int16/serial_stddev_int16.1.adm
@@ -1 +1 @@
-{ "gid": 1, "stddev": 0.8944271909999159, "stddev_pop": 0.8 }
+{ "gid": 1, "stddev_samp": 0.8944271909999159, "stddev_pop": 0.8 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int16_null/serial_stddev_int16_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int16_null/serial_stddev_int16_null.1.adm
index daa09e6..7af690c 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int16_null/serial_stddev_int16_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int16_null/serial_stddev_int16_null.1.adm
@@ -1 +1 @@
-{ "gid": 1, "stddev": 1.0, "stddev_pop": 0.816496580927726 }
+{ "gid": 1, "stddev_samp": 1.0, "stddev_pop": 0.816496580927726 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int32/serial_stddev_int32.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int32/serial_stddev_int32.1.adm
index 4e89687..90579d8 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int32/serial_stddev_int32.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int32/serial_stddev_int32.1.adm
@@ -1 +1 @@
-{ "gid": 1, "stddev": 0.8944271909999159, "stddev_pop": 0.8 }
+{ "gid": 1, "stddev_samp": 0.8944271909999159, "stddev_pop": 0.8 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int32_null/serial_stddev_int32_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int32_null/serial_stddev_int32_null.1.adm
index daa09e6..7af690c 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int32_null/serial_stddev_int32_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int32_null/serial_stddev_int32_null.1.adm
@@ -1 +1 @@
-{ "gid": 1, "stddev": 1.0, "stddev_pop": 0.816496580927726 }
+{ "gid": 1, "stddev_samp": 1.0, "stddev_pop": 0.816496580927726 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int64/serial_stddev_int64.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int64/serial_stddev_int64.1.adm
index 4e89687..90579d8 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int64/serial_stddev_int64.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int64/serial_stddev_int64.1.adm
@@ -1 +1 @@
-{ "gid": 1, "stddev": 0.8944271909999159, "stddev_pop": 0.8 }
+{ "gid": 1, "stddev_samp": 0.8944271909999159, "stddev_pop": 0.8 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int64_null/serial_stddev_int64_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int64_null/serial_stddev_int64_null.1.adm
index daa09e6..7af690c 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int64_null/serial_stddev_int64_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int64_null/serial_stddev_int64_null.1.adm
@@ -1 +1 @@
-{ "gid": 1, "stddev": 1.0, "stddev_pop": 0.816496580927726 }
+{ "gid": 1, "stddev_samp": 1.0, "stddev_pop": 0.816496580927726 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int8/serial_stddev_int8.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int8/serial_stddev_int8.1.adm
index 4e89687..90579d8 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int8/serial_stddev_int8.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int8/serial_stddev_int8.1.adm
@@ -1 +1 @@
-{ "gid": 1, "stddev": 0.8944271909999159, "stddev_pop": 0.8 }
+{ "gid": 1, "stddev_samp": 0.8944271909999159, "stddev_pop": 0.8 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int8_null/serial_stddev_int8_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int8_null/serial_stddev_int8_null.1.adm
index daa09e6..7af690c 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int8_null/serial_stddev_int8_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_stddev_int8_null/serial_stddev_int8_null.1.adm
@@ -1 +1 @@
-{ "gid": 1, "stddev": 1.0, "stddev_pop": 0.816496580927726 }
+{ "gid": 1, "stddev_samp": 1.0, "stddev_pop": 0.816496580927726 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_double/serial_var_double.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_double/serial_var_double.1.adm
index b2f05cb..9bf1888 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_double/serial_var_double.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_double/serial_var_double.1.adm
@@ -1 +1 @@
-{ "gid": 1, "var": 0.8, "var_pop": 0.64 }
+{ "gid": 1, "var_samp": 0.8, "var_pop": 0.64 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_double_null/serial_var_double_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_double_null/serial_var_double_null.1.adm
index 1d1b2a6..7851bdd 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_double_null/serial_var_double_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_double_null/serial_var_double_null.1.adm
@@ -1 +1 @@
-{ "gid": 1, "var": 4.934118004270163E32, "var_pop": 3.289412002846775E32 }
+{ "gid": 1, "var_samp": 4.934118004270163E32, "var_pop": 3.289412002846775E32 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_float/serial_var_float.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_float/serial_var_float.1.adm
index b2f05cb..9bf1888 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_float/serial_var_float.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_float/serial_var_float.1.adm
@@ -1 +1 @@
-{ "gid": 1, "var": 0.8, "var_pop": 0.64 }
+{ "gid": 1, "var_samp": 0.8, "var_pop": 0.64 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_float_null/serial_var_float_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_float_null/serial_var_float_null.1.adm
index 2335482..ec6cb7f 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_float_null/serial_var_float_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_float_null/serial_var_float_null.1.adm
@@ -1 +1 @@
-{ "gid": 1, "var": 1.0, "var_pop": 0.6666666666666666 }
+{ "gid": 1, "var_samp": 1.0, "var_pop": 0.6666666666666666 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int16/serial_var_int16.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int16/serial_var_int16.1.adm
index b2f05cb..9bf1888 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int16/serial_var_int16.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int16/serial_var_int16.1.adm
@@ -1 +1 @@
-{ "gid": 1, "var": 0.8, "var_pop": 0.64 }
+{ "gid": 1, "var_samp": 0.8, "var_pop": 0.64 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int16_null/serial_var_int16_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int16_null/serial_var_int16_null.1.adm
index 2335482..ec6cb7f 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int16_null/serial_var_int16_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int16_null/serial_var_int16_null.1.adm
@@ -1 +1 @@
-{ "gid": 1, "var": 1.0, "var_pop": 0.6666666666666666 }
+{ "gid": 1, "var_samp": 1.0, "var_pop": 0.6666666666666666 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int32/serial_var_int32.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int32/serial_var_int32.1.adm
index b2f05cb..9bf1888 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int32/serial_var_int32.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int32/serial_var_int32.1.adm
@@ -1 +1 @@
-{ "gid": 1, "var": 0.8, "var_pop": 0.64 }
+{ "gid": 1, "var_samp": 0.8, "var_pop": 0.64 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int32_null/serial_var_int32_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int32_null/serial_var_int32_null.1.adm
index 2335482..ec6cb7f 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int32_null/serial_var_int32_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int32_null/serial_var_int32_null.1.adm
@@ -1 +1 @@
-{ "gid": 1, "var": 1.0, "var_pop": 0.6666666666666666 }
+{ "gid": 1, "var_samp": 1.0, "var_pop": 0.6666666666666666 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int64/serial_var_int64.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int64/serial_var_int64.1.adm
index b2f05cb..9bf1888 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int64/serial_var_int64.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int64/serial_var_int64.1.adm
@@ -1 +1 @@
-{ "gid": 1, "var": 0.8, "var_pop": 0.64 }
+{ "gid": 1, "var_samp": 0.8, "var_pop": 0.64 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int64_null/serial_var_int64_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int64_null/serial_var_int64_null.1.adm
index 2335482..ec6cb7f 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int64_null/serial_var_int64_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int64_null/serial_var_int64_null.1.adm
@@ -1 +1 @@
-{ "gid": 1, "var": 1.0, "var_pop": 0.6666666666666666 }
+{ "gid": 1, "var_samp": 1.0, "var_pop": 0.6666666666666666 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int8/serial_var_int8.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int8/serial_var_int8.1.adm
index b2f05cb..9bf1888 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int8/serial_var_int8.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int8/serial_var_int8.1.adm
@@ -1 +1 @@
-{ "gid": 1, "var": 0.8, "var_pop": 0.64 }
+{ "gid": 1, "var_samp": 0.8, "var_pop": 0.64 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int8_null/serial_var_int8_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int8_null/serial_var_int8_null.1.adm
index 2335482..ec6cb7f 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int8_null/serial_var_int8_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/serial_var_int8_null/serial_var_int8_null.1.adm
@@ -1 +1 @@
-{ "gid": 1, "var": 1.0, "var_pop": 0.6666666666666666 }
+{ "gid": 1, "var_samp": 1.0, "var_pop": 0.6666666666666666 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_distinct/skewness_distinct.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_distinct/skewness_distinct.1.adm
new file mode 100644
index 0000000..83b615b
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_distinct/skewness_distinct.1.adm
@@ -0,0 +1 @@
+{ "t1": 0, "t2": null, "t3": null, "t4": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_double/skewness_double.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_double/skewness_double.1.adm
new file mode 100644
index 0000000..ba66466
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_double/skewness_double.1.adm
@@ -0,0 +1 @@
+0.0
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_double_null/skewness_double_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_double_null/skewness_double_null.1.adm
new file mode 100644
index 0000000..0695dc1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_double_null/skewness_double_null.1.adm
@@ -0,0 +1 @@
+{ "skewness": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_empty_01/skewness_empty_01.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_empty_01/skewness_empty_01.1.adm
new file mode 100644
index 0000000..19765bd
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_empty_01/skewness_empty_01.1.adm
@@ -0,0 +1 @@
+null
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_empty_02/skewness_empty_02.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_empty_02/skewness_empty_02.1.adm
new file mode 100644
index 0000000..19765bd
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_empty_02/skewness_empty_02.1.adm
@@ -0,0 +1 @@
+null
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_float/skewness_float.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_float/skewness_float.1.adm
new file mode 100644
index 0000000..ba66466
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_float/skewness_float.1.adm
@@ -0,0 +1 @@
+0.0
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_float_null/skewness_float_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_float_null/skewness_float_null.1.adm
new file mode 100644
index 0000000..0695dc1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_float_null/skewness_float_null.1.adm
@@ -0,0 +1 @@
+{ "skewness": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_int16/skewness_int16.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_int16/skewness_int16.1.adm
new file mode 100644
index 0000000..ba66466
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_int16/skewness_int16.1.adm
@@ -0,0 +1 @@
+0.0
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_int16_null/skewness_int16_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_int16_null/skewness_int16_null.1.adm
new file mode 100644
index 0000000..0695dc1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_int16_null/skewness_int16_null.1.adm
@@ -0,0 +1 @@
+{ "skewness": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_int32/skewness_int32.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_int32/skewness_int32.1.adm
new file mode 100644
index 0000000..ba66466
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_int32/skewness_int32.1.adm
@@ -0,0 +1 @@
+0.0
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_int32_null/skewness_int32_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_int32_null/skewness_int32_null.1.adm
new file mode 100644
index 0000000..0695dc1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_int32_null/skewness_int32_null.1.adm
@@ -0,0 +1 @@
+{ "skewness": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_int64/skewness_int64.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_int64/skewness_int64.1.adm
new file mode 100644
index 0000000..ba66466
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_int64/skewness_int64.1.adm
@@ -0,0 +1 @@
+0.0
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_int64_null/skewness_int64_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_int64_null/skewness_int64_null.1.adm
new file mode 100644
index 0000000..0695dc1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_int64_null/skewness_int64_null.1.adm
@@ -0,0 +1 @@
+{ "skewness": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_int8/skewness_int8.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_int8/skewness_int8.1.adm
new file mode 100644
index 0000000..ba66466
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_int8/skewness_int8.1.adm
@@ -0,0 +1 @@
+0.0
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_int8_null/skewness_int8_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_int8_null/skewness_int8_null.1.adm
new file mode 100644
index 0000000..0e1e7ca
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_int8_null/skewness_int8_null.1.adm
@@ -0,0 +1 @@
+{ "skewness": 0.7024026117220766 }
\ No newline at end of file
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_mixed/skewness_mixed.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_mixed/skewness_mixed.1.adm
new file mode 100644
index 0000000..e3b97f5
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/skewness_mixed/skewness_mixed.1.adm
@@ -0,0 +1 @@
+[  ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_double/stddev_double.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_double/stddev_double.1.adm
index 653259d..3b69e19 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_double/stddev_double.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_double/stddev_double.1.adm
@@ -1 +1 @@
-{ "stddev": [ 1.0 ], "stddev_pop": [ 0.816496580927726 ] }
+{ "stddev_samp": [ 1.0 ], "stddev_pop": [ 0.816496580927726 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_double_null/stddev_double_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_double_null/stddev_double_null.1.adm
index 4f788be..ca7c775 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_double_null/stddev_double_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_double_null/stddev_double_null.1.adm
@@ -1 +1 @@
-{ "stddev": 0.0, "stddev_pop": 0.0 }
+{ "stddev_samp": 0.0, "stddev_pop": 0.0 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_empty_01/stddev_empty_01.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_empty_01/stddev_empty_01.1.adm
index eb24dcb..9549671 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_empty_01/stddev_empty_01.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_empty_01/stddev_empty_01.1.adm
@@ -1 +1 @@
-{ "stddev": [ null ], "stddev_pop": [ null ] }
+{ "stddev_samp": [ null ], "stddev_pop": [ null ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_empty_02/stddev_empty_02.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_empty_02/stddev_empty_02.1.adm
index eb24dcb..9549671 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_empty_02/stddev_empty_02.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_empty_02/stddev_empty_02.1.adm
@@ -1 +1 @@
-{ "stddev": [ null ], "stddev_pop": [ null ] }
+{ "stddev_samp": [ null ], "stddev_pop": [ null ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_float/stddev_float.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_float/stddev_float.1.adm
index 653259d..3b69e19 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_float/stddev_float.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_float/stddev_float.1.adm
@@ -1 +1 @@
-{ "stddev": [ 1.0 ], "stddev_pop": [ 0.816496580927726 ] }
+{ "stddev_samp": [ 1.0 ], "stddev_pop": [ 0.816496580927726 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_float_null/stddev_float_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_float_null/stddev_float_null.1.adm
index 4f788be..ca7c775 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_float_null/stddev_float_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_float_null/stddev_float_null.1.adm
@@ -1 +1 @@
-{ "stddev": 0.0, "stddev_pop": 0.0 }
+{ "stddev_samp": 0.0, "stddev_pop": 0.0 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int16/stddev_int16.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int16/stddev_int16.1.adm
index 653259d..3b69e19 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int16/stddev_int16.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int16/stddev_int16.1.adm
@@ -1 +1 @@
-{ "stddev": [ 1.0 ], "stddev_pop": [ 0.816496580927726 ] }
+{ "stddev_samp": [ 1.0 ], "stddev_pop": [ 0.816496580927726 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int16_null/stddev_int16_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int16_null/stddev_int16_null.1.adm
index 4f788be..ca7c775 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int16_null/stddev_int16_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int16_null/stddev_int16_null.1.adm
@@ -1 +1 @@
-{ "stddev": 0.0, "stddev_pop": 0.0 }
+{ "stddev_samp": 0.0, "stddev_pop": 0.0 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int32/stddev_int32.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int32/stddev_int32.1.adm
index 653259d..3b69e19 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int32/stddev_int32.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int32/stddev_int32.1.adm
@@ -1 +1 @@
-{ "stddev": [ 1.0 ], "stddev_pop": [ 0.816496580927726 ] }
+{ "stddev_samp": [ 1.0 ], "stddev_pop": [ 0.816496580927726 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int32_null/stddev_int32_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int32_null/stddev_int32_null.1.adm
index 4f788be..ca7c775 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int32_null/stddev_int32_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int32_null/stddev_int32_null.1.adm
@@ -1 +1 @@
-{ "stddev": 0.0, "stddev_pop": 0.0 }
+{ "stddev_samp": 0.0, "stddev_pop": 0.0 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int64/stddev_int64.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int64/stddev_int64.1.adm
index 653259d..3b69e19 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int64/stddev_int64.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int64/stddev_int64.1.adm
@@ -1 +1 @@
-{ "stddev": [ 1.0 ], "stddev_pop": [ 0.816496580927726 ] }
+{ "stddev_samp": [ 1.0 ], "stddev_pop": [ 0.816496580927726 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int64_null/stddev_int64_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int64_null/stddev_int64_null.1.adm
index 4f788be..ca7c775 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int64_null/stddev_int64_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int64_null/stddev_int64_null.1.adm
@@ -1 +1 @@
-{ "stddev": 0.0, "stddev_pop": 0.0 }
+{ "stddev_samp": 0.0, "stddev_pop": 0.0 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int8/stddev_int8.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int8/stddev_int8.1.adm
index 653259d..3b69e19 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int8/stddev_int8.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int8/stddev_int8.1.adm
@@ -1 +1 @@
-{ "stddev": [ 1.0 ], "stddev_pop": [ 0.816496580927726 ] }
+{ "stddev_samp": [ 1.0 ], "stddev_pop": [ 0.816496580927726 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int8_null/stddev_int8_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int8_null/stddev_int8_null.1.adm
index 20dd54a..4a53982 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int8_null/stddev_int8_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/stddev_int8_null/stddev_int8_null.1.adm
@@ -1 +1 @@
-{ "stddev": 26.0, "stddev_pop": 21.228911104120876 }
+{ "stddev_samp": 26.0, "stddev_pop": 21.228911104120876 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_double/var_double.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_double/var_double.1.adm
index b6c4979..e19b726 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_double/var_double.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_double/var_double.1.adm
@@ -1 +1 @@
-{ "var": [ 1.0 ], "var_pop": [ 0.6666666666666666 ] }
+{ "var_samp": [ 1.0 ], "var_pop": [ 0.6666666666666666 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_double_null/var_double_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_double_null/var_double_null.1.adm
index 99c6acf..13313ef 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_double_null/var_double_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_double_null/var_double_null.1.adm
@@ -1 +1 @@
-{ "var": 0.0, "var_pop": 0.0 }
+{ "var_samp": 0.0, "var_pop": 0.0 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_empty_01/var_empty_01.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_empty_01/var_empty_01.1.adm
index abf4b45..7a82d03 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_empty_01/var_empty_01.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_empty_01/var_empty_01.1.adm
@@ -1 +1 @@
-{ "var": [ null ], "var_pop": [ null ] }
+{ "var_samp": [ null ], "var_pop": [ null ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_empty_02/var_empty_02.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_empty_02/var_empty_02.1.adm
index abf4b45..7a82d03 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_empty_02/var_empty_02.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_empty_02/var_empty_02.1.adm
@@ -1 +1 @@
-{ "var": [ null ], "var_pop": [ null ] }
+{ "var_samp": [ null ], "var_pop": [ null ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_float/var_float.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_float/var_float.1.adm
index b6c4979..e19b726 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_float/var_float.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_float/var_float.1.adm
@@ -1 +1 @@
-{ "var": [ 1.0 ], "var_pop": [ 0.6666666666666666 ] }
+{ "var_samp": [ 1.0 ], "var_pop": [ 0.6666666666666666 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_float_null/var_float_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_float_null/var_float_null.1.adm
index 99c6acf..13313ef 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_float_null/var_float_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_float_null/var_float_null.1.adm
@@ -1 +1 @@
-{ "var": 0.0, "var_pop": 0.0 }
+{ "var_samp": 0.0, "var_pop": 0.0 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int16/var_int16.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int16/var_int16.1.adm
index b6c4979..e19b726 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int16/var_int16.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int16/var_int16.1.adm
@@ -1 +1 @@
-{ "var": [ 1.0 ], "var_pop": [ 0.6666666666666666 ] }
+{ "var_samp": [ 1.0 ], "var_pop": [ 0.6666666666666666 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int16_null/var_int16_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int16_null/var_int16_null.1.adm
index 99c6acf..13313ef 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int16_null/var_int16_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int16_null/var_int16_null.1.adm
@@ -1 +1 @@
-{ "var": 0.0, "var_pop": 0.0 }
+{ "var_samp": 0.0, "var_pop": 0.0 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int32/var_int32.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int32/var_int32.1.adm
index b6c4979..e19b726 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int32/var_int32.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int32/var_int32.1.adm
@@ -1 +1 @@
-{ "var": [ 1.0 ], "var_pop": [ 0.6666666666666666 ] }
+{ "var_samp": [ 1.0 ], "var_pop": [ 0.6666666666666666 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int32_null/var_int32_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int32_null/var_int32_null.1.adm
index 99c6acf..13313ef 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int32_null/var_int32_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int32_null/var_int32_null.1.adm
@@ -1 +1 @@
-{ "var": 0.0, "var_pop": 0.0 }
+{ "var_samp": 0.0, "var_pop": 0.0 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int64/var_int64.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int64/var_int64.1.adm
index b6c4979..e19b726 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int64/var_int64.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int64/var_int64.1.adm
@@ -1 +1 @@
-{ "var": [ 1.0 ], "var_pop": [ 0.6666666666666666 ] }
+{ "var_samp": [ 1.0 ], "var_pop": [ 0.6666666666666666 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int64_null/var_int64_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int64_null/var_int64_null.1.adm
index 99c6acf..13313ef 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int64_null/var_int64_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int64_null/var_int64_null.1.adm
@@ -1 +1 @@
-{ "var": 0.0, "var_pop": 0.0 }
+{ "var_samp": 0.0, "var_pop": 0.0 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int8/var_int8.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int8/var_int8.1.adm
index b6c4979..e19b726 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int8/var_int8.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int8/var_int8.1.adm
@@ -1 +1 @@
-{ "var": [ 1.0 ], "var_pop": [ 0.6666666666666666 ] }
+{ "var_samp": [ 1.0 ], "var_pop": [ 0.6666666666666666 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int8_null/var_int8_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int8_null/var_int8_null.1.adm
index f02f9f2..cfa9c7e 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int8_null/var_int8_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate-sql/var_int8_null/var_int8_null.1.adm
@@ -1 +1 @@
-{ "var": 676.0, "var_pop": 450.6666666666667 }
\ No newline at end of file
+{ "var_samp": 676.0, "var_pop": 450.6666666666667 }
\ No newline at end of file
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/agg_null/agg_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/agg_null/agg_null.1.adm
index 8977277..a66cd88 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/agg_null/agg_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/agg_null/agg_null.1.adm
@@ -1 +1 @@
-{ "count1": 1, "average1": null, "sum1": null, "min1": null, "max1": null, "stddev1": null, "stddev_pop1": null, "var1": null, "var_pop1": null, "count2": 2, "average2": null, "sum2": null, "min2": null, "max2": null, "stddev2": null, "stddev_pop2": null, "var2": null, "var_pop2": null }
+{ "count1": 1, "average1": null, "sum1": null, "min1": null, "max1": null, "stddev_samp1": null, "stddev_pop1": null, "var_samp1": null, "var_pop1": null, "skewness1": null, "kurtosis1": null, "count2": 2, "average2": null, "sum2": null, "min2": null, "max2": null, "stddev_samp2": null, "stddev_pop2": null, "var_samp2": null, "var_pop2": null, "skewness2": null, "kurtosis2": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/agg_null_rec/agg_null_rec.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/agg_null_rec/agg_null_rec.1.adm
index d38c950..306be86 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/agg_null_rec/agg_null_rec.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/agg_null_rec/agg_null_rec.1.adm
@@ -1 +1 @@
-{ "count": 3, "average": null, "stddev": null, "stddev_pop": null, "var": null, "var_pop": null, "sum": null, "min": null, "max": null }
+{ "count": 3, "average": null, "stddev_samp": null, "stddev_pop": null, "var_samp": null, "var_pop": null, "skewness": null, "kurtosis": null, "sum": null, "min": null, "max": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/agg_null_rec_1/agg_null_rec.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/agg_null_rec_1/agg_null_rec.1.adm
index 1127706..35dbf92 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/agg_null_rec_1/agg_null_rec.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/agg_null_rec_1/agg_null_rec.1.adm
@@ -1 +1 @@
-{ "count": 3, "average": 5.32, "sum": 15.96, "stddev": 1.0, "stddev_pop": 0.816496580927726, "var": 1.0, "var_pop": 0.6666666666666666, "min": null, "max": null }
+{ "count": 3, "average": 5.32, "sum": 15.96, "stddev_samp": 1.0, "stddev_pop": 0.816496580927726, "var_samp": 1.0, "var_pop": 0.6666666666666666, "skewness": 0.0, "kurtosis": -1.5, "min": null, "max": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/agg_number/agg_number.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/agg_number/agg_number.1.adm
index 760b06c..39353a5 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/agg_number/agg_number.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/agg_number/agg_number.1.adm
@@ -1 +1 @@
-{ "count1": 4, "average1": 2.3461845695961844E16, "stddev1": 4.6923691391923688E16, "stddev_pop1": 4.0637108784747104E16, "var1": 2.2018328138444933E33, "var_pop1": 1.65137461038337E33, "count2": 4, "average2": 2.3461845695961844E16, "stddev2": 4.6923691391923688E16, "stddev_pop2": 4.0637108784747104E16, "var2": 2.2018328138444933E33, "var_pop2": 1.65137461038337E33, "sum1": 9.3847382783847376E16, "min1": 1.0, "max1": 9.3847382783847376E16, "sum2": 9.3847382783847376E16, "min2": 1.0, "max2": 9.3847382783847376E16 }
+{ "count1": 4, "average1": 2.3461845695961844E16, "stddev_samp1": 4.6923691391923688E16, "stddev_pop1": 4.0637108784747104E16, "var_samp1": 2.2018328138444933E33, "var_pop1": 1.65137461038337E33, "skewness1": 1.1547005383792517, "kurtosis1": -0.6666666666666665, "count2": 4, "average2": 2.3461845695961844E16, "stddev_samp2": 4.6923691391923688E16, "stddev_pop2": 4.0637108784747104E16, "var_samp2": 2.2018328138444933E33, "var_pop2": 1.65137461038337E33, "skewness2": 1.1547005383792517, "kurtosis2": -0.6666666666666665, "sum1": 9.3847382783847376E16, "min1": 1.0, "max1": 9.3847382783847376E16, "sum2": 9.3847382783847376E16, "min2": 1.0, "max2": 9.3847382783847376E16 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/agg_number_rec/agg_number_rec.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/agg_number_rec/agg_number_rec.1.adm
index 525ae14..128f8d4 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/agg_number_rec/agg_number_rec.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/agg_number_rec/agg_number_rec.1.adm
@@ -1 +1 @@
-{ "count": 3, "average": 1.2824609161579424E16, "stddev": 2.2212874655068836E16, "stddev_pop": 1.8136736208439848E16, "var": 4.934118004417994E32, "var_pop": 3.28941200294533E32, "sum": 3.8473827484738272E16, "min": 2.0, "max": 3.847382748473824E16 }
+{ "count": 3, "average": 1.2824609161579424E16, "stddev_samp": 2.2212874655068836E16, "stddev_pop": 1.8136736208439848E16, "var_samp": 4.934118004417994E32, "var_pop": 3.28941200294533E32, "skewness": 0.7071067811865476, "kurtosis": -1.5, "sum": 3.8473827484738272E16, "min": 2.0, "max": 3.847382748473824E16 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_distinct/kurtosis_distinct.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_distinct/kurtosis_distinct.1.adm
new file mode 100644
index 0000000..0f3644d
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_distinct/kurtosis_distinct.1.adm
@@ -0,0 +1 @@
+{ "t1": -2, "t2": null, "t3": null, "t4": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_double/kurtosis_double.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_double/kurtosis_double.1.adm
new file mode 100644
index 0000000..a6fadae
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_double/kurtosis_double.1.adm
@@ -0,0 +1 @@
+-1.5
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_double_null/kurtosis_double_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_double_null/kurtosis_double_null.1.adm
new file mode 100644
index 0000000..79acf81
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_double_null/kurtosis_double_null.1.adm
@@ -0,0 +1 @@
+{ "kurtosis": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_empty_01/kurtosis_empty_01.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_empty_01/kurtosis_empty_01.1.adm
new file mode 100644
index 0000000..19765bd
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_empty_01/kurtosis_empty_01.1.adm
@@ -0,0 +1 @@
+null
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_empty_02/kurtosis_empty_02.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_empty_02/kurtosis_empty_02.1.adm
new file mode 100644
index 0000000..19765bd
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_empty_02/kurtosis_empty_02.1.adm
@@ -0,0 +1 @@
+null
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_float/kurtosis_float.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_float/kurtosis_float.1.adm
new file mode 100644
index 0000000..a6fadae
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_float/kurtosis_float.1.adm
@@ -0,0 +1 @@
+-1.5
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_float_null/kurtosis_float_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_float_null/kurtosis_float_null.1.adm
new file mode 100644
index 0000000..79acf81
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_float_null/kurtosis_float_null.1.adm
@@ -0,0 +1 @@
+{ "kurtosis": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_int16/kurtosis_int16.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_int16/kurtosis_int16.1.adm
new file mode 100644
index 0000000..a6fadae
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_int16/kurtosis_int16.1.adm
@@ -0,0 +1 @@
+-1.5
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_int16_null/kurtosis_int16_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_int16_null/kurtosis_int16_null.1.adm
new file mode 100644
index 0000000..79acf81
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_int16_null/kurtosis_int16_null.1.adm
@@ -0,0 +1 @@
+{ "kurtosis": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_int32/kurtosis_int32.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_int32/kurtosis_int32.1.adm
new file mode 100644
index 0000000..a6fadae
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_int32/kurtosis_int32.1.adm
@@ -0,0 +1 @@
+-1.5
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_int32_null/kurtosis_int32_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_int32_null/kurtosis_int32_null.1.adm
new file mode 100644
index 0000000..79acf81
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_int32_null/kurtosis_int32_null.1.adm
@@ -0,0 +1 @@
+{ "kurtosis": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_int64/kurtosis_int64.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_int64/kurtosis_int64.1.adm
new file mode 100644
index 0000000..a6fadae
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_int64/kurtosis_int64.1.adm
@@ -0,0 +1 @@
+-1.5
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_int64_null/kurtosis_int64_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_int64_null/kurtosis_int64_null.1.adm
new file mode 100644
index 0000000..79acf81
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_int64_null/kurtosis_int64_null.1.adm
@@ -0,0 +1 @@
+{ "kurtosis": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_int8/kurtosis_int8.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_int8/kurtosis_int8.1.adm
new file mode 100644
index 0000000..a6fadae
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_int8/kurtosis_int8.1.adm
@@ -0,0 +1 @@
+-1.5
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_int8_null/kurtosis_int8_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_int8_null/kurtosis_int8_null.1.adm
new file mode 100644
index 0000000..79acf81
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_int8_null/kurtosis_int8_null.1.adm
@@ -0,0 +1 @@
+{ "kurtosis": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_mixed/kurtosis_mixed.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_mixed/kurtosis_mixed.1.adm
new file mode 100644
index 0000000..e3b97f5
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/kurtosis_mixed/kurtosis_mixed.1.adm
@@ -0,0 +1 @@
+[  ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_kurtosis/scalar_kurtosis.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_kurtosis/scalar_kurtosis.1.adm
new file mode 100644
index 0000000..ab27df6
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_kurtosis/scalar_kurtosis.1.adm
@@ -0,0 +1,6 @@
+-1.5
+-1.5
+-1.5
+-1.5
+-1.5
+-1.5
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_kurtosis_empty/scalar_kurtosis_empty.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_kurtosis_empty/scalar_kurtosis_empty.1.adm
new file mode 100644
index 0000000..19765bd
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_kurtosis_empty/scalar_kurtosis_empty.1.adm
@@ -0,0 +1 @@
+null
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_kurtosis_null/scalar_kurtosis_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_kurtosis_null/scalar_kurtosis_null.1.adm
new file mode 100644
index 0000000..aef8b7f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_kurtosis_null/scalar_kurtosis_null.1.adm
@@ -0,0 +1,6 @@
+null
+null
+null
+null
+null
+null
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_skewness/scalar_skewness.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_skewness/scalar_skewness.1.adm
new file mode 100644
index 0000000..46223ba
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_skewness/scalar_skewness.1.adm
@@ -0,0 +1,6 @@
+0.0
+0.0
+0.0
+0.0
+0.0
+0.0
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_skewness_empty/scalar_skewness_empty.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_skewness_empty/scalar_skewness_empty.1.adm
new file mode 100644
index 0000000..ec747fa
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_skewness_empty/scalar_skewness_empty.1.adm
@@ -0,0 +1 @@
+null
\ No newline at end of file
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_skewness_null/scalar_skewness_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_skewness_null/scalar_skewness_null.1.adm
new file mode 100644
index 0000000..aef8b7f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_skewness_null/scalar_skewness_null.1.adm
@@ -0,0 +1,6 @@
+null
+null
+null
+null
+null
+null
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_stddev/scalar_stddev.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_stddev/scalar_stddev.1.adm
index 16c838c..02ed68e 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_stddev/scalar_stddev.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_stddev/scalar_stddev.1.adm
@@ -1 +1 @@
-{ "stddev": [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ], "stddev_pop": [ 0.816496580927726, 0.816496580927726, 0.816496580927726, 0.816496580927726, 0.816496580927726, 0.816496580927726 ] }
+{ "stddev_samp": [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ], "stddev_pop": [ 0.816496580927726, 0.816496580927726, 0.816496580927726, 0.816496580927726, 0.816496580927726, 0.816496580927726 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_stddev_empty/scalar_stddev_empty.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_stddev_empty/scalar_stddev_empty.1.adm
index eb24dcb..9549671 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_stddev_empty/scalar_stddev_empty.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_stddev_empty/scalar_stddev_empty.1.adm
@@ -1 +1 @@
-{ "stddev": [ null ], "stddev_pop": [ null ] }
+{ "stddev_samp": [ null ], "stddev_pop": [ null ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_stddev_null/scalar_stddev_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_stddev_null/scalar_stddev_null.1.adm
index a8cdc43..fef0b9b 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_stddev_null/scalar_stddev_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_stddev_null/scalar_stddev_null.1.adm
@@ -1 +1 @@
-{ "stddev": [ null, null, null, null, null, null ], "stddev_pop": [ null, null, null, null, null, null ] }
+{ "stddev_samp": [ null, null, null, null, null, null ], "stddev_pop": [ null, null, null, null, null, null ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_var/scalar_var.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_var/scalar_var.1.adm
index 8b66369..b3a0444 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_var/scalar_var.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_var/scalar_var.1.adm
@@ -1 +1 @@
-{ "var": [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ], "var_pop": [ 0.6666666666666666, 0.6666666666666666, 0.6666666666666666, 0.6666666666666666, 0.6666666666666666, 0.6666666666666666 ] }
+{ "var_samp": [ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 ], "var_pop": [ 0.6666666666666666, 0.6666666666666666, 0.6666666666666666, 0.6666666666666666, 0.6666666666666666, 0.6666666666666666 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_var_empty/scalar_var_empty.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_var_empty/scalar_var_empty.1.adm
index abf4b45..7a82d03 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_var_empty/scalar_var_empty.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_var_empty/scalar_var_empty.1.adm
@@ -1 +1 @@
-{ "var": [ null ], "var_pop": [ null ] }
+{ "var_samp": [ null ], "var_pop": [ null ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_var_null/scalar_var_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_var_null/scalar_var_null.1.adm
index 8bb7869..4cd197d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_var_null/scalar_var_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/scalar_var_null/scalar_var_null.1.adm
@@ -1 +1 @@
-{ "var": [ null, null, null, null, null, null ], "var_pop": [ null, null, null, null, null, null ] }
+{ "var_samp": [ null, null, null, null, null, null ], "var_pop": [ null, null, null, null, null, null ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_double/serial_kurtosis_double.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_double/serial_kurtosis_double.1.adm
new file mode 100644
index 0000000..80f5e78
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_double/serial_kurtosis_double.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "kurtosis": 2.9392265193370157 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_double_null/serial_kurtosis_double_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_double_null/serial_kurtosis_double_null.1.adm
new file mode 100644
index 0000000..561878d
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_double_null/serial_kurtosis_double_null.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "kurtosis": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_empty/serial_kurtosis_empty.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_empty/serial_kurtosis_empty.1.adm
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_empty/serial_kurtosis_empty.1.adm
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_float/serial_kurtosis_float.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_float/serial_kurtosis_float.1.adm
new file mode 100644
index 0000000..80f5e78
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_float/serial_kurtosis_float.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "kurtosis": 2.9392265193370157 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_float_null/serial_kurtosis_float_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_float_null/serial_kurtosis_float_null.1.adm
new file mode 100644
index 0000000..561878d
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_float_null/serial_kurtosis_float_null.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "kurtosis": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_int16/serial_kurtosis_int16.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_int16/serial_kurtosis_int16.1.adm
new file mode 100644
index 0000000..80f5e78
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_int16/serial_kurtosis_int16.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "kurtosis": 2.9392265193370157 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_int16_null/serial_kurtosis_int16_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_int16_null/serial_kurtosis_int16_null.1.adm
new file mode 100644
index 0000000..561878d
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_int16_null/serial_kurtosis_int16_null.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "kurtosis": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_int32/serial_kurtosis_int32.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_int32/serial_kurtosis_int32.1.adm
new file mode 100644
index 0000000..80f5e78
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_int32/serial_kurtosis_int32.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "kurtosis": 2.9392265193370157 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_int32_null/serial_kurtosis_int32_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_int32_null/serial_kurtosis_int32_null.1.adm
new file mode 100644
index 0000000..561878d
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_int32_null/serial_kurtosis_int32_null.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "kurtosis": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_int64/serial_kurtosis_int64.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_int64/serial_kurtosis_int64.1.adm
new file mode 100644
index 0000000..80f5e78
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_int64/serial_kurtosis_int64.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "kurtosis": 2.9392265193370157 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_int64_null/serial_kurtosis_int64_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_int64_null/serial_kurtosis_int64_null.1.adm
new file mode 100644
index 0000000..561878d
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_int64_null/serial_kurtosis_int64_null.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "kurtosis": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_int8/serial_kurtosis_int8.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_int8/serial_kurtosis_int8.1.adm
new file mode 100644
index 0000000..80f5e78
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_int8/serial_kurtosis_int8.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "kurtosis": 2.9392265193370157 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_int8_null/serial_kurtosis_int8_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_int8_null/serial_kurtosis_int8_null.1.adm
new file mode 100644
index 0000000..561878d
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_int8_null/serial_kurtosis_int8_null.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "kurtosis": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_mixed/serial_kurtosis_mixed.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_mixed/serial_kurtosis_mixed.1.adm
new file mode 100644
index 0000000..0bbd7e2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_kurtosis_mixed/serial_kurtosis_mixed.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "kurtosis_samp": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_double/serial_skewness_double.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_double/serial_skewness_double.1.adm
new file mode 100644
index 0000000..e0e3f62
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_double/serial_skewness_double.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "skewness": 0.8437499999999999 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_double_null/serial_skewness_double_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_double_null/serial_skewness_double_null.1.adm
new file mode 100644
index 0000000..56027d1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_double_null/serial_skewness_double_null.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "skewness": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_empty/serial_skewness_empty.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_empty/serial_skewness_empty.1.adm
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_empty/serial_skewness_empty.1.adm
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_float/serial_skewness_float.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_float/serial_skewness_float.1.adm
new file mode 100644
index 0000000..e0e3f62
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_float/serial_skewness_float.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "skewness": 0.8437499999999999 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_float_null/serial_skewness_float_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_float_null/serial_skewness_float_null.1.adm
new file mode 100644
index 0000000..56027d1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_float_null/serial_skewness_float_null.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "skewness": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_int16/serial_skewness_int16.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_int16/serial_skewness_int16.1.adm
new file mode 100644
index 0000000..e0e3f62
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_int16/serial_skewness_int16.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "skewness": 0.8437499999999999 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_int16_null/serial_skewness_int16_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_int16_null/serial_skewness_int16_null.1.adm
new file mode 100644
index 0000000..56027d1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_int16_null/serial_skewness_int16_null.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "skewness": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_int32/serial_skewness_int32.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_int32/serial_skewness_int32.1.adm
new file mode 100644
index 0000000..e0e3f62
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_int32/serial_skewness_int32.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "skewness": 0.8437499999999999 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_int32_null/serial_skewness_int32_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_int32_null/serial_skewness_int32_null.1.adm
new file mode 100644
index 0000000..56027d1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_int32_null/serial_skewness_int32_null.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "skewness": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_int64/serial_skewness_int64.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_int64/serial_skewness_int64.1.adm
new file mode 100644
index 0000000..e0e3f62
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_int64/serial_skewness_int64.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "skewness": 0.8437499999999999 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_int64_null/serial_skewness_int64_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_int64_null/serial_skewness_int64_null.1.adm
new file mode 100644
index 0000000..56027d1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_int64_null/serial_skewness_int64_null.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "skewness": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_int8/serial_skewness_int8.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_int8/serial_skewness_int8.1.adm
new file mode 100644
index 0000000..e0e3f62
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_int8/serial_skewness_int8.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "skewness": 0.8437499999999999 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_int8_null/serial_skewness_int8_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_int8_null/serial_skewness_int8_null.1.adm
new file mode 100644
index 0000000..56027d1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_int8_null/serial_skewness_int8_null.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "skewness": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_mixed/serial_skewness_mixed.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_mixed/serial_skewness_mixed.1.adm
new file mode 100644
index 0000000..6f1e562
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_skewness_mixed/serial_skewness_mixed.1.adm
@@ -0,0 +1 @@
+{ "gid": 1, "skewness_samp": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_double/serial_stddev_double.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_double/serial_stddev_double.1.adm
index 4e89687..90579d8 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_double/serial_stddev_double.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_double/serial_stddev_double.1.adm
@@ -1 +1 @@
-{ "gid": 1, "stddev": 0.8944271909999159, "stddev_pop": 0.8 }
+{ "gid": 1, "stddev_samp": 0.8944271909999159, "stddev_pop": 0.8 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_double_null/serial_stddev_double_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_double_null/serial_stddev_double_null.1.adm
index 0405f84..a3fbb24 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_double_null/serial_stddev_double_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_double_null/serial_stddev_double_null.1.adm
@@ -1 +1 @@
-{ "gid": 1, "stddev": null, "stddev_pop": null }
+{ "gid": 1, "stddev_samp": null, "stddev_pop": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_float/serial_stddev_float.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_float/serial_stddev_float.1.adm
index 4e89687..90579d8 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_float/serial_stddev_float.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_float/serial_stddev_float.1.adm
@@ -1 +1 @@
-{ "gid": 1, "stddev": 0.8944271909999159, "stddev_pop": 0.8 }
+{ "gid": 1, "stddev_samp": 0.8944271909999159, "stddev_pop": 0.8 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_float_null/serial_stddev_float_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_float_null/serial_stddev_float_null.1.adm
index 0405f84..a3fbb24 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_float_null/serial_stddev_float_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_float_null/serial_stddev_float_null.1.adm
@@ -1 +1 @@
-{ "gid": 1, "stddev": null, "stddev_pop": null }
+{ "gid": 1, "stddev_samp": null, "stddev_pop": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int16/serial_stddev_int16.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int16/serial_stddev_int16.1.adm
index 4e89687..90579d8 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int16/serial_stddev_int16.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int16/serial_stddev_int16.1.adm
@@ -1 +1 @@
-{ "gid": 1, "stddev": 0.8944271909999159, "stddev_pop": 0.8 }
+{ "gid": 1, "stddev_samp": 0.8944271909999159, "stddev_pop": 0.8 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int16_null/serial_stddev_int16_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int16_null/serial_stddev_int16_null.1.adm
index 0405f84..a3fbb24 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int16_null/serial_stddev_int16_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int16_null/serial_stddev_int16_null.1.adm
@@ -1 +1 @@
-{ "gid": 1, "stddev": null, "stddev_pop": null }
+{ "gid": 1, "stddev_samp": null, "stddev_pop": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int32/serial_stddev_int32.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int32/serial_stddev_int32.1.adm
index 4e89687..90579d8 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int32/serial_stddev_int32.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int32/serial_stddev_int32.1.adm
@@ -1 +1 @@
-{ "gid": 1, "stddev": 0.8944271909999159, "stddev_pop": 0.8 }
+{ "gid": 1, "stddev_samp": 0.8944271909999159, "stddev_pop": 0.8 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int32_null/serial_stddev_int32_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int32_null/serial_stddev_int32_null.1.adm
index 0405f84..a3fbb24 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int32_null/serial_stddev_int32_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int32_null/serial_stddev_int32_null.1.adm
@@ -1 +1 @@
-{ "gid": 1, "stddev": null, "stddev_pop": null }
+{ "gid": 1, "stddev_samp": null, "stddev_pop": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int64/serial_stddev_int64.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int64/serial_stddev_int64.1.adm
index 4e89687..90579d8 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int64/serial_stddev_int64.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int64/serial_stddev_int64.1.adm
@@ -1 +1 @@
-{ "gid": 1, "stddev": 0.8944271909999159, "stddev_pop": 0.8 }
+{ "gid": 1, "stddev_samp": 0.8944271909999159, "stddev_pop": 0.8 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int64_null/serial_stddev_int64_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int64_null/serial_stddev_int64_null.1.adm
index 0405f84..a3fbb24 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int64_null/serial_stddev_int64_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int64_null/serial_stddev_int64_null.1.adm
@@ -1 +1 @@
-{ "gid": 1, "stddev": null, "stddev_pop": null }
+{ "gid": 1, "stddev_samp": null, "stddev_pop": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int8/serial_stddev_int8.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int8/serial_stddev_int8.1.adm
index 4e89687..90579d8 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int8/serial_stddev_int8.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int8/serial_stddev_int8.1.adm
@@ -1 +1 @@
-{ "gid": 1, "stddev": 0.8944271909999159, "stddev_pop": 0.8 }
+{ "gid": 1, "stddev_samp": 0.8944271909999159, "stddev_pop": 0.8 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int8_null/serial_stddev_int8_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int8_null/serial_stddev_int8_null.1.adm
index 0405f84..a3fbb24 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int8_null/serial_stddev_int8_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_int8_null/serial_stddev_int8_null.1.adm
@@ -1 +1 @@
-{ "gid": 1, "stddev": null, "stddev_pop": null }
+{ "gid": 1, "stddev_samp": null, "stddev_pop": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_mixed/serial_stddev_mixed.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_mixed/serial_stddev_mixed.1.adm
index c65635a..8ae0625 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_mixed/serial_stddev_mixed.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_stddev_mixed/serial_stddev_mixed.1.adm
@@ -1 +1 @@
-{ "gid": 1, "stddev": null }
+{ "gid": 1, "stddev_samp": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_double/serial_var_double.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_double/serial_var_double.1.adm
index b2f05cb..9bf1888 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_double/serial_var_double.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_double/serial_var_double.1.adm
@@ -1 +1 @@
-{ "gid": 1, "var": 0.8, "var_pop": 0.64 }
+{ "gid": 1, "var_samp": 0.8, "var_pop": 0.64 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_double_null/serial_var_double_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_double_null/serial_var_double_null.1.adm
index 6341e9f..7f97226 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_double_null/serial_var_double_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_double_null/serial_var_double_null.1.adm
@@ -1 +1 @@
-{ "gid": 1, "var": null, "var_pop": null }
+{ "gid": 1, "var_samp": null, "var_pop": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_float/serial_var_float.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_float/serial_var_float.1.adm
index b2f05cb..9bf1888 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_float/serial_var_float.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_float/serial_var_float.1.adm
@@ -1 +1 @@
-{ "gid": 1, "var": 0.8, "var_pop": 0.64 }
+{ "gid": 1, "var_samp": 0.8, "var_pop": 0.64 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_float_null/serial_var_float_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_float_null/serial_var_float_null.1.adm
index 6341e9f..7f97226 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_float_null/serial_var_float_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_float_null/serial_var_float_null.1.adm
@@ -1 +1 @@
-{ "gid": 1, "var": null, "var_pop": null }
+{ "gid": 1, "var_samp": null, "var_pop": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int16/serial_var_int16.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int16/serial_var_int16.1.adm
index b2f05cb..9bf1888 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int16/serial_var_int16.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int16/serial_var_int16.1.adm
@@ -1 +1 @@
-{ "gid": 1, "var": 0.8, "var_pop": 0.64 }
+{ "gid": 1, "var_samp": 0.8, "var_pop": 0.64 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int16_null/serial_var_int16_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int16_null/serial_var_int16_null.1.adm
index 6341e9f..7f97226 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int16_null/serial_var_int16_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int16_null/serial_var_int16_null.1.adm
@@ -1 +1 @@
-{ "gid": 1, "var": null, "var_pop": null }
+{ "gid": 1, "var_samp": null, "var_pop": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int32/serial_var_int32.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int32/serial_var_int32.1.adm
index b2f05cb..9bf1888 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int32/serial_var_int32.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int32/serial_var_int32.1.adm
@@ -1 +1 @@
-{ "gid": 1, "var": 0.8, "var_pop": 0.64 }
+{ "gid": 1, "var_samp": 0.8, "var_pop": 0.64 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int32_null/serial_var_int32_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int32_null/serial_var_int32_null.1.adm
index 6341e9f..7f97226 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int32_null/serial_var_int32_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int32_null/serial_var_int32_null.1.adm
@@ -1 +1 @@
-{ "gid": 1, "var": null, "var_pop": null }
+{ "gid": 1, "var_samp": null, "var_pop": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int64/serial_var_int64.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int64/serial_var_int64.1.adm
index b2f05cb..9bf1888 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int64/serial_var_int64.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int64/serial_var_int64.1.adm
@@ -1 +1 @@
-{ "gid": 1, "var": 0.8, "var_pop": 0.64 }
+{ "gid": 1, "var_samp": 0.8, "var_pop": 0.64 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int64_null/serial_var_int64_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int64_null/serial_var_int64_null.1.adm
index 6341e9f..7f97226 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int64_null/serial_var_int64_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int64_null/serial_var_int64_null.1.adm
@@ -1 +1 @@
-{ "gid": 1, "var": null, "var_pop": null }
+{ "gid": 1, "var_samp": null, "var_pop": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int8/serial_var_int8.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int8/serial_var_int8.1.adm
index b2f05cb..9bf1888 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int8/serial_var_int8.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int8/serial_var_int8.1.adm
@@ -1 +1 @@
-{ "gid": 1, "var": 0.8, "var_pop": 0.64 }
+{ "gid": 1, "var_samp": 0.8, "var_pop": 0.64 }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int8_null/serial_var_int8_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int8_null/serial_var_int8_null.1.adm
index 6341e9f..7f97226 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int8_null/serial_var_int8_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_int8_null/serial_var_int8_null.1.adm
@@ -1 +1 @@
-{ "gid": 1, "var": null, "var_pop": null }
+{ "gid": 1, "var_samp": null, "var_pop": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_mixed/serial_var_mixed.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_mixed/serial_var_mixed.1.adm
index ae7dd85..3d1db2f 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_mixed/serial_var_mixed.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/serial_var_mixed/serial_var_mixed.1.adm
@@ -1 +1 @@
-{ "gid": 1, "var": null }
+{ "gid": 1, "var_samp": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_distinct/skewness_distinct.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_distinct/skewness_distinct.1.adm
new file mode 100644
index 0000000..83b615b
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_distinct/skewness_distinct.1.adm
@@ -0,0 +1 @@
+{ "t1": 0, "t2": null, "t3": null, "t4": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_double/skewness_double.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_double/skewness_double.1.adm
new file mode 100644
index 0000000..ba66466
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_double/skewness_double.1.adm
@@ -0,0 +1 @@
+0.0
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_double_null/skewness_double_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_double_null/skewness_double_null.1.adm
new file mode 100644
index 0000000..0695dc1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_double_null/skewness_double_null.1.adm
@@ -0,0 +1 @@
+{ "skewness": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_empty_01/skewness_empty_01.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_empty_01/skewness_empty_01.1.adm
new file mode 100644
index 0000000..19765bd
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_empty_01/skewness_empty_01.1.adm
@@ -0,0 +1 @@
+null
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_empty_02/skewness_empty_02.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_empty_02/skewness_empty_02.1.adm
new file mode 100644
index 0000000..19765bd
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_empty_02/skewness_empty_02.1.adm
@@ -0,0 +1 @@
+null
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_float/skewness_float.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_float/skewness_float.1.adm
new file mode 100644
index 0000000..ba66466
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_float/skewness_float.1.adm
@@ -0,0 +1 @@
+0.0
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_float_null/skewness_float_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_float_null/skewness_float_null.1.adm
new file mode 100644
index 0000000..0695dc1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_float_null/skewness_float_null.1.adm
@@ -0,0 +1 @@
+{ "skewness": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_int16/skewness_int16.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_int16/skewness_int16.1.adm
new file mode 100644
index 0000000..ba66466
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_int16/skewness_int16.1.adm
@@ -0,0 +1 @@
+0.0
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_int16_null/skewness_int16_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_int16_null/skewness_int16_null.1.adm
new file mode 100644
index 0000000..0695dc1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_int16_null/skewness_int16_null.1.adm
@@ -0,0 +1 @@
+{ "skewness": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_int32/skewness_int32.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_int32/skewness_int32.1.adm
new file mode 100644
index 0000000..ba66466
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_int32/skewness_int32.1.adm
@@ -0,0 +1 @@
+0.0
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_int32_null/skewness_int32_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_int32_null/skewness_int32_null.1.adm
new file mode 100644
index 0000000..0695dc1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_int32_null/skewness_int32_null.1.adm
@@ -0,0 +1 @@
+{ "skewness": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_int64/skewness_int64.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_int64/skewness_int64.1.adm
new file mode 100644
index 0000000..ba66466
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_int64/skewness_int64.1.adm
@@ -0,0 +1 @@
+0.0
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_int64_null/skewness_int64_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_int64_null/skewness_int64_null.1.adm
new file mode 100644
index 0000000..0695dc1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_int64_null/skewness_int64_null.1.adm
@@ -0,0 +1 @@
+{ "skewness": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_int8/skewness_int8.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_int8/skewness_int8.1.adm
new file mode 100644
index 0000000..ba66466
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_int8/skewness_int8.1.adm
@@ -0,0 +1 @@
+0.0
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_int8_null/skewness_int8_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_int8_null/skewness_int8_null.1.adm
new file mode 100644
index 0000000..0695dc1
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_int8_null/skewness_int8_null.1.adm
@@ -0,0 +1 @@
+{ "skewness": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_mixed/skewness_mixed.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_mixed/skewness_mixed.1.adm
new file mode 100644
index 0000000..e3b97f5
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/skewness_mixed/skewness_mixed.1.adm
@@ -0,0 +1 @@
+[  ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_double/stddev_double.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_double/stddev_double.1.adm
index 653259d..3b69e19 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_double/stddev_double.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_double/stddev_double.1.adm
@@ -1 +1 @@
-{ "stddev": [ 1.0 ], "stddev_pop": [ 0.816496580927726 ] }
+{ "stddev_samp": [ 1.0 ], "stddev_pop": [ 0.816496580927726 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_double_null/stddev_double_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_double_null/stddev_double_null.1.adm
index 07f36d3..6862994 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_double_null/stddev_double_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_double_null/stddev_double_null.1.adm
@@ -1 +1 @@
-{ "stddev": null, "stddev_pop": null }
+{ "stddev_samp": null, "stddev_pop": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_empty_01/stddev_empty_01.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_empty_01/stddev_empty_01.1.adm
index eb24dcb..9549671 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_empty_01/stddev_empty_01.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_empty_01/stddev_empty_01.1.adm
@@ -1 +1 @@
-{ "stddev": [ null ], "stddev_pop": [ null ] }
+{ "stddev_samp": [ null ], "stddev_pop": [ null ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_empty_02/stddev_empty_02.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_empty_02/stddev_empty_02.1.adm
index eb24dcb..9549671 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_empty_02/stddev_empty_02.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_empty_02/stddev_empty_02.1.adm
@@ -1 +1 @@
-{ "stddev": [ null ], "stddev_pop": [ null ] }
+{ "stddev_samp": [ null ], "stddev_pop": [ null ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_float/stddev_float.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_float/stddev_float.1.adm
index 653259d..3b69e19 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_float/stddev_float.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_float/stddev_float.1.adm
@@ -1 +1 @@
-{ "stddev": [ 1.0 ], "stddev_pop": [ 0.816496580927726 ] }
+{ "stddev_samp": [ 1.0 ], "stddev_pop": [ 0.816496580927726 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_float_null/stddev_float_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_float_null/stddev_float_null.1.adm
index 07f36d3..6862994 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_float_null/stddev_float_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_float_null/stddev_float_null.1.adm
@@ -1 +1 @@
-{ "stddev": null, "stddev_pop": null }
+{ "stddev_samp": null, "stddev_pop": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int16/stddev_int16.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int16/stddev_int16.1.adm
index 653259d..3b69e19 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int16/stddev_int16.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int16/stddev_int16.1.adm
@@ -1 +1 @@
-{ "stddev": [ 1.0 ], "stddev_pop": [ 0.816496580927726 ] }
+{ "stddev_samp": [ 1.0 ], "stddev_pop": [ 0.816496580927726 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int16_null/stddev_int16_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int16_null/stddev_int16_null.1.adm
index 07f36d3..6862994 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int16_null/stddev_int16_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int16_null/stddev_int16_null.1.adm
@@ -1 +1 @@
-{ "stddev": null, "stddev_pop": null }
+{ "stddev_samp": null, "stddev_pop": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int32/stddev_int32.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int32/stddev_int32.1.adm
index 653259d..3b69e19 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int32/stddev_int32.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int32/stddev_int32.1.adm
@@ -1 +1 @@
-{ "stddev": [ 1.0 ], "stddev_pop": [ 0.816496580927726 ] }
+{ "stddev_samp": [ 1.0 ], "stddev_pop": [ 0.816496580927726 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int32_null/stddev_int32_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int32_null/stddev_int32_null.1.adm
index 07f36d3..6862994 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int32_null/stddev_int32_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int32_null/stddev_int32_null.1.adm
@@ -1 +1 @@
-{ "stddev": null, "stddev_pop": null }
+{ "stddev_samp": null, "stddev_pop": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int64/stddev_int64.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int64/stddev_int64.1.adm
index 653259d..3b69e19 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int64/stddev_int64.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int64/stddev_int64.1.adm
@@ -1 +1 @@
-{ "stddev": [ 1.0 ], "stddev_pop": [ 0.816496580927726 ] }
+{ "stddev_samp": [ 1.0 ], "stddev_pop": [ 0.816496580927726 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int64_null/stddev_int64_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int64_null/stddev_int64_null.1.adm
index 07f36d3..6862994 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int64_null/stddev_int64_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int64_null/stddev_int64_null.1.adm
@@ -1 +1 @@
-{ "stddev": null, "stddev_pop": null }
+{ "stddev_samp": null, "stddev_pop": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int8/stddev_int8.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int8/stddev_int8.1.adm
index 653259d..3b69e19 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int8/stddev_int8.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int8/stddev_int8.1.adm
@@ -1 +1 @@
-{ "stddev": [ 1.0 ], "stddev_pop": [ 0.816496580927726 ] }
+{ "stddev_samp": [ 1.0 ], "stddev_pop": [ 0.816496580927726 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int8_null/stddev_int8_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int8_null/stddev_int8_null.1.adm
index 07f36d3..6862994 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int8_null/stddev_int8_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/stddev_int8_null/stddev_int8_null.1.adm
@@ -1 +1 @@
-{ "stddev": null, "stddev_pop": null }
+{ "stddev_samp": null, "stddev_pop": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_double/var_double.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_double/var_double.1.adm
index b6c4979..e19b726 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_double/var_double.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_double/var_double.1.adm
@@ -1 +1 @@
-{ "var": [ 1.0 ], "var_pop": [ 0.6666666666666666 ] }
+{ "var_samp": [ 1.0 ], "var_pop": [ 0.6666666666666666 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_double_null/var_double_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_double_null/var_double_null.1.adm
index 0a34eda..fa21ca5 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_double_null/var_double_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_double_null/var_double_null.1.adm
@@ -1 +1 @@
-{ "var": null, "var_pop": null }
+{ "var_samp": null, "var_pop": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_empty_01/var_empty_01.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_empty_01/var_empty_01.1.adm
index abf4b45..7a82d03 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_empty_01/var_empty_01.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_empty_01/var_empty_01.1.adm
@@ -1 +1 @@
-{ "var": [ null ], "var_pop": [ null ] }
+{ "var_samp": [ null ], "var_pop": [ null ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_empty_02/var_empty_02.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_empty_02/var_empty_02.1.adm
index abf4b45..7a82d03 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_empty_02/var_empty_02.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_empty_02/var_empty_02.1.adm
@@ -1 +1 @@
-{ "var": [ null ], "var_pop": [ null ] }
+{ "var_samp": [ null ], "var_pop": [ null ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_float/var_float.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_float/var_float.1.adm
index b6c4979..e19b726 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_float/var_float.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_float/var_float.1.adm
@@ -1 +1 @@
-{ "var": [ 1.0 ], "var_pop": [ 0.6666666666666666 ] }
+{ "var_samp": [ 1.0 ], "var_pop": [ 0.6666666666666666 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_float_null/var_float_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_float_null/var_float_null.1.adm
index 0a34eda..fa21ca5 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_float_null/var_float_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_float_null/var_float_null.1.adm
@@ -1 +1 @@
-{ "var": null, "var_pop": null }
+{ "var_samp": null, "var_pop": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int16/var_int16.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int16/var_int16.1.adm
index b6c4979..e19b726 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int16/var_int16.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int16/var_int16.1.adm
@@ -1 +1 @@
-{ "var": [ 1.0 ], "var_pop": [ 0.6666666666666666 ] }
+{ "var_samp": [ 1.0 ], "var_pop": [ 0.6666666666666666 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int16_null/var_int16_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int16_null/var_int16_null.1.adm
index 0a34eda..fa21ca5 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int16_null/var_int16_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int16_null/var_int16_null.1.adm
@@ -1 +1 @@
-{ "var": null, "var_pop": null }
+{ "var_samp": null, "var_pop": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int32/var_int32.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int32/var_int32.1.adm
index b6c4979..e19b726 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int32/var_int32.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int32/var_int32.1.adm
@@ -1 +1 @@
-{ "var": [ 1.0 ], "var_pop": [ 0.6666666666666666 ] }
+{ "var_samp": [ 1.0 ], "var_pop": [ 0.6666666666666666 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int32_null/var_int32_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int32_null/var_int32_null.1.adm
index 0a34eda..fa21ca5 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int32_null/var_int32_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int32_null/var_int32_null.1.adm
@@ -1 +1 @@
-{ "var": null, "var_pop": null }
+{ "var_samp": null, "var_pop": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int64/var_int64.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int64/var_int64.1.adm
index b6c4979..e19b726 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int64/var_int64.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int64/var_int64.1.adm
@@ -1 +1 @@
-{ "var": [ 1.0 ], "var_pop": [ 0.6666666666666666 ] }
+{ "var_samp": [ 1.0 ], "var_pop": [ 0.6666666666666666 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int64_null/var_int64_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int64_null/var_int64_null.1.adm
index 0a34eda..fa21ca5 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int64_null/var_int64_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int64_null/var_int64_null.1.adm
@@ -1 +1 @@
-{ "var": null, "var_pop": null }
+{ "var_samp": null, "var_pop": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int8/var_int8.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int8/var_int8.1.adm
index b6c4979..e19b726 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int8/var_int8.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int8/var_int8.1.adm
@@ -1 +1 @@
-{ "var": [ 1.0 ], "var_pop": [ 0.6666666666666666 ] }
+{ "var_samp": [ 1.0 ], "var_pop": [ 0.6666666666666666 ] }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int8_null/var_int8_null.1.adm b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int8_null/var_int8_null.1.adm
index 0a34eda..fa21ca5 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int8_null/var_int8_null.1.adm
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results/aggregate/var_int8_null/var_int8_null.1.adm
@@ -1 +1 @@
-{ "var": null, "var_pop": null }
+{ "var_samp": null, "var_pop": null }
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/agg_null/agg_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/agg_null/agg_null.3.ast
index f370f90..76db390 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/agg_null/agg_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/agg_null/agg_null.3.ast
@@ -46,9 +46,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [sql-stddev1]
+    LiteralExpr [STRING] [sql-stddev_samp1]
     :
-    FunctionCall asterix.sql-stddev@1[
+    FunctionCall asterix.sql-stddev_samp@1[
       OrderedListConstructor [
         LiteralExpr [NULL]
       ]
@@ -64,9 +64,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [sql-var1]
+    LiteralExpr [STRING] [sql-var_samp1]
     :
-    FunctionCall asterix.sql-var@1[
+    FunctionCall asterix.sql-var_samp@1[
       OrderedListConstructor [
         LiteralExpr [NULL]
       ]
@@ -82,6 +82,24 @@
     ]
   )
   (
+    LiteralExpr [STRING] [sql-skewness1]
+    :
+    FunctionCall asterix.sql-skewness@1[
+      OrderedListConstructor [
+        LiteralExpr [NULL]
+      ]
+    ]
+  )
+  (
+    LiteralExpr [STRING] [sql-kurtosis1]
+    :
+    FunctionCall asterix.sql-kurtosis@1[
+      OrderedListConstructor [
+        LiteralExpr [NULL]
+      ]
+    ]
+  )
+  (
     LiteralExpr [STRING] [sql-count2]
     :
     FunctionCall asterix.sql-count@1[
@@ -132,9 +150,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [sql-stddev2]
+    LiteralExpr [STRING] [sql-stddev_samp2]
     :
-    FunctionCall asterix.sql-stddev@1[
+    FunctionCall asterix.sql-stddev_samp@1[
       UnorderedListConstructor [
         LiteralExpr [NULL]
         LiteralExpr [NULL]
@@ -152,9 +170,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [sql-var2]
+    LiteralExpr [STRING] [sql-var_samp2]
     :
-    FunctionCall asterix.sql-var@1[
+    FunctionCall asterix.sql-var_samp@1[
       UnorderedListConstructor [
         LiteralExpr [NULL]
         LiteralExpr [NULL]
@@ -171,4 +189,24 @@
       ]
     ]
   )
+  (
+    LiteralExpr [STRING] [sql-skewness2]
+    :
+    FunctionCall asterix.sql-skewness@1[
+      UnorderedListConstructor [
+        LiteralExpr [NULL]
+        LiteralExpr [NULL]
+      ]
+    ]
+  )
+  (
+    LiteralExpr [STRING] [sql-kurtosis2]
+    :
+    FunctionCall asterix.sql-kurtosis@1[
+      UnorderedListConstructor [
+        LiteralExpr [NULL]
+        LiteralExpr [NULL]
+      ]
+    ]
+  )
 ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/agg_null_rec/agg_null_rec.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/agg_null_rec/agg_null_rec.3.ast
index 110949e..0595f49 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/agg_null_rec/agg_null_rec.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/agg_null_rec/agg_null_rec.3.ast
@@ -97,9 +97,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [sql-stddev]
+    LiteralExpr [STRING] [sql-stddev_samp]
     :
-    FunctionCall asterix.sql-stddev@1[
+    FunctionCall asterix.sql-stddev_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
@@ -135,9 +135,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [sql-var]
+    LiteralExpr [STRING] [sql-var_samp]
     :
-    FunctionCall asterix.sql-var@1[
+    FunctionCall asterix.sql-var_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
@@ -172,4 +172,42 @@
       )
     ]
   )
+  (
+    LiteralExpr [STRING] [sql-skewness]
+    :
+    FunctionCall asterix.sql-skewness@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$t ]
+          Field=valplus
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Test]
+          ]
+          AS Variable [ Name=$t ]
+        ]
+      )
+    ]
+  )
+  (
+    LiteralExpr [STRING] [sql-kurtosis]
+    :
+    FunctionCall asterix.sql-kurtosis@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$t ]
+          Field=valplus
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Test]
+          ]
+          AS Variable [ Name=$t ]
+        ]
+      )
+    ]
+  )
 ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/agg_null_rec_1/agg_null_rec_1.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/agg_null_rec_1/agg_null_rec_1.3.ast
index f10192b..7a8927a 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/agg_null_rec_1/agg_null_rec_1.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/agg_null_rec_1/agg_null_rec_1.3.ast
@@ -122,9 +122,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [sql-stddev]
+    LiteralExpr [STRING] [sql-stddev_samp]
     :
-    FunctionCall asterix.sql-stddev@1[
+    FunctionCall asterix.sql-stddev_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
@@ -174,9 +174,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [sql-var]
+    LiteralExpr [STRING] [sql-var_samp]
     :
-    FunctionCall asterix.sql-var@1[
+    FunctionCall asterix.sql-var_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
@@ -225,4 +225,56 @@
       )
     ]
   )
+  (
+    LiteralExpr [STRING] [sql-skewness]
+    :
+    FunctionCall asterix.sql-skewness@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$i ]
+          Field=valplus
+        ]
+        ]
+        FROM [          (
+            SELECT ELEMENT [
+            Variable [ Name=$t ]
+            ]
+            FROM [              FunctionCall asterix.dataset@1[
+                LiteralExpr [STRING] [test.Test]
+              ]
+              AS Variable [ Name=$t ]
+            ]
+          )
+          AS Variable [ Name=$i ]
+        ]
+      )
+    ]
+  )
+  (
+    LiteralExpr [STRING] [sql-kurtosis]
+    :
+    FunctionCall asterix.sql-kurtosis@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$i ]
+          Field=valplus
+        ]
+        ]
+        FROM [          (
+            SELECT ELEMENT [
+            Variable [ Name=$t ]
+            ]
+            FROM [              FunctionCall asterix.dataset@1[
+                LiteralExpr [STRING] [test.Test]
+              ]
+              AS Variable [ Name=$t ]
+            ]
+          )
+          AS Variable [ Name=$i ]
+        ]
+      )
+    ]
+  )
 ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/agg_number/agg_number.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/agg_number/agg_number.3.ast
index bcc764d..64386d6 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/agg_number/agg_number.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/agg_number/agg_number.3.ast
@@ -81,9 +81,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [sql-stddev1]
+    LiteralExpr [STRING] [sql-stddev_samp1]
     :
-    FunctionCall asterix.sql-stddev@1[
+    FunctionCall asterix.sql-stddev_samp@1[
       OrderedListConstructor [
         FunctionCall null.float@1[
           LiteralExpr [STRING] [2.0]
@@ -113,9 +113,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [sql-var1]
+    LiteralExpr [STRING] [sql-var_samp1]
     :
-    FunctionCall asterix.sql-var@1[
+    FunctionCall asterix.sql-var_samp@1[
       OrderedListConstructor [
         FunctionCall null.float@1[
           LiteralExpr [STRING] [2.0]
@@ -145,6 +145,38 @@
     ]
   )
   (
+    LiteralExpr [STRING] [sql-skewness1]
+    :
+    FunctionCall asterix.sql-skewness@1[
+      OrderedListConstructor [
+        FunctionCall null.float@1[
+          LiteralExpr [STRING] [2.0]
+        ]
+        FunctionCall null.double@1[
+          LiteralExpr [STRING] [3.0]
+        ]
+        LiteralExpr [LONG] [93847382783847382]
+        LiteralExpr [LONG] [1]
+      ]
+    ]
+  )
+  (
+    LiteralExpr [STRING] [sql-kurtosis1]
+    :
+    FunctionCall asterix.sql-kurtosis@1[
+      OrderedListConstructor [
+        FunctionCall null.float@1[
+          LiteralExpr [STRING] [2.0]
+        ]
+        FunctionCall null.double@1[
+          LiteralExpr [STRING] [3.0]
+        ]
+        LiteralExpr [LONG] [93847382783847382]
+        LiteralExpr [LONG] [1]
+      ]
+    ]
+  )
+  (
     LiteralExpr [STRING] [sql-count2]
     :
     FunctionCall asterix.sql-count@1[
@@ -225,9 +257,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [sql-stddev2]
+    LiteralExpr [STRING] [sql-stddev_samp2]
     :
-    FunctionCall asterix.sql-stddev@1[
+    FunctionCall asterix.sql-stddev_samp@1[
       UnorderedListConstructor [
         FunctionCall null.float@1[
           LiteralExpr [STRING] [2.0]
@@ -257,9 +289,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [sql-var2]
+    LiteralExpr [STRING] [sql-var_samp2]
     :
-    FunctionCall asterix.sql-var@1[
+    FunctionCall asterix.sql-var_samp@1[
       UnorderedListConstructor [
         FunctionCall null.float@1[
           LiteralExpr [STRING] [2.0]
@@ -288,4 +320,36 @@
       ]
     ]
   )
+  (
+    LiteralExpr [STRING] [sql-skewness2]
+    :
+    FunctionCall asterix.sql-skewness@1[
+      UnorderedListConstructor [
+        FunctionCall null.float@1[
+          LiteralExpr [STRING] [2.0]
+        ]
+        FunctionCall null.double@1[
+          LiteralExpr [STRING] [3.0]
+        ]
+        LiteralExpr [LONG] [93847382783847382]
+        LiteralExpr [LONG] [1]
+      ]
+    ]
+  )
+  (
+    LiteralExpr [STRING] [sql-kurtosis2]
+    :
+    FunctionCall asterix.sql-kurtosis@1[
+      UnorderedListConstructor [
+        FunctionCall null.float@1[
+          LiteralExpr [STRING] [2.0]
+        ]
+        FunctionCall null.double@1[
+          LiteralExpr [STRING] [3.0]
+        ]
+        LiteralExpr [LONG] [93847382783847382]
+        LiteralExpr [LONG] [1]
+      ]
+    ]
+  )
 ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/agg_number_rec/agg_number_rec.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/agg_number_rec/agg_number_rec.3.ast
index 110949e..0595f49 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/agg_number_rec/agg_number_rec.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/agg_number_rec/agg_number_rec.3.ast
@@ -97,9 +97,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [sql-stddev]
+    LiteralExpr [STRING] [sql-stddev_samp]
     :
-    FunctionCall asterix.sql-stddev@1[
+    FunctionCall asterix.sql-stddev_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
@@ -135,9 +135,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [sql-var]
+    LiteralExpr [STRING] [sql-var_samp]
     :
-    FunctionCall asterix.sql-var@1[
+    FunctionCall asterix.sql-var_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
@@ -172,4 +172,42 @@
       )
     ]
   )
+  (
+    LiteralExpr [STRING] [sql-skewness]
+    :
+    FunctionCall asterix.sql-skewness@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$t ]
+          Field=valplus
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Test]
+          ]
+          AS Variable [ Name=$t ]
+        ]
+      )
+    ]
+  )
+  (
+    LiteralExpr [STRING] [sql-kurtosis]
+    :
+    FunctionCall asterix.sql-kurtosis@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$t ]
+          Field=valplus
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Test]
+          ]
+          AS Variable [ Name=$t ]
+        ]
+      )
+    ]
+  )
 ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_double/kurtosis_double.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_double/kurtosis_double.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_double/kurtosis_double.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_double/kurtosis_double.3.ast
new file mode 100644
index 0000000..2921b94
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_double/kurtosis_double.3.ast
@@ -0,0 +1,19 @@
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.sql-kurtosis@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        LiteralExpr [DOUBLE] [1.0]
+        LiteralExpr [DOUBLE] [2.0]
+        FunctionCall null.double@1[
+          LiteralExpr [STRING] [3.0]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_double_null/kurtosis_double_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_double_null/kurtosis_double_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_double_null/kurtosis_double_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_double_null/kurtosis_double_null.3.ast
new file mode 100644
index 0000000..ba248e3
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_double_null/kurtosis_double_null.3.ast
@@ -0,0 +1,23 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [kurtosis]
+    :
+    FunctionCall asterix.sql-kurtosis@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=doubleField
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_empty_01/kurtosis_empty_01.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_empty_01/kurtosis_empty_01.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_empty_01/kurtosis_empty_01.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_empty_01/kurtosis_empty_01.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_empty_01/kurtosis_empty_01.3.ast
new file mode 100644
index 0000000..9ad473f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_empty_01/kurtosis_empty_01.3.ast
@@ -0,0 +1,24 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.sql-kurtosis@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        LiteralExpr [LONG] [1]
+        LiteralExpr [LONG] [2]
+        LiteralExpr [LONG] [3]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+    Where
+      OperatorExpr [
+        Variable [ Name=$x ]
+        >
+        LiteralExpr [LONG] [10]
+      ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_empty_02/kurtosis_empty_02.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_empty_02/kurtosis_empty_02.1.ast
new file mode 100644
index 0000000..baf977e
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_empty_02/kurtosis_empty_02.1.ast
@@ -0,0 +1,8 @@
+DataverseUse test
+TypeDecl TestType [
+  closed RecordType {
+    id : bigint,
+    val : double
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_empty_02/kurtosis_empty_02.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_empty_02/kurtosis_empty_02.3.ast
new file mode 100644
index 0000000..091578a
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_empty_02/kurtosis_empty_02.3.ast
@@ -0,0 +1,19 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.sql-kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$x ]
+      Field=val
+    ]
+    ]
+    FROM [      FunctionCall asterix.dataset@1[
+        LiteralExpr [STRING] [test.Test]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_float/kurtosis_float.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_float/kurtosis_float.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_float/kurtosis_float.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_float/kurtosis_float.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_float/kurtosis_float.3.ast
new file mode 100644
index 0000000..4256f27
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_float/kurtosis_float.3.ast
@@ -0,0 +1,24 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.sql-kurtosis@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        FunctionCall test.float@1[
+          LiteralExpr [STRING] [1]
+        ]
+        FunctionCall test.float@1[
+          LiteralExpr [STRING] [2]
+        ]
+        FunctionCall test.float@1[
+          LiteralExpr [STRING] [3]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_float_null/kurtosis_float_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_float_null/kurtosis_float_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_float_null/kurtosis_float_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_float_null/kurtosis_float_null.3.ast
new file mode 100644
index 0000000..0296417
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_float_null/kurtosis_float_null.3.ast
@@ -0,0 +1,23 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [kurtosis]
+    :
+    FunctionCall asterix.sql-kurtosis@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=floatField
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int16/kurtosis_int16.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int16/kurtosis_int16.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int16/kurtosis_int16.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int16/kurtosis_int16.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int16/kurtosis_int16.3.ast
new file mode 100644
index 0000000..34b8b2f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int16/kurtosis_int16.3.ast
@@ -0,0 +1,24 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.sql-kurtosis@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        FunctionCall test.int16@1[
+          LiteralExpr [STRING] [1]
+        ]
+        FunctionCall test.int16@1[
+          LiteralExpr [STRING] [2]
+        ]
+        FunctionCall test.int16@1[
+          LiteralExpr [STRING] [3]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int16_null/kurtosis_int16_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int16_null/kurtosis_int16_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int16_null/kurtosis_int16_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int16_null/kurtosis_int16_null.3.ast
new file mode 100644
index 0000000..6d5d6f6
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int16_null/kurtosis_int16_null.3.ast
@@ -0,0 +1,23 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [kurtosis]
+    :
+    FunctionCall asterix.sql-kurtosis@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=int16Field
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int32/kurtosis_int32.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int32/kurtosis_int32.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int32/kurtosis_int32.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int32/kurtosis_int32.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int32/kurtosis_int32.3.ast
new file mode 100644
index 0000000..1edafeb
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int32/kurtosis_int32.3.ast
@@ -0,0 +1,24 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.sql-kurtosis@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        FunctionCall test.int32@1[
+          LiteralExpr [STRING] [1]
+        ]
+        FunctionCall test.int32@1[
+          LiteralExpr [STRING] [2]
+        ]
+        FunctionCall test.int32@1[
+          LiteralExpr [STRING] [3]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int32_null/kurtosis_int32_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int32_null/kurtosis_int32_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int32_null/kurtosis_int32_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int32_null/kurtosis_int32_null.3.ast
new file mode 100644
index 0000000..0f9aacb
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int32_null/kurtosis_int32_null.3.ast
@@ -0,0 +1,23 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [kurtosis]
+    :
+    FunctionCall asterix.sql-kurtosis@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=int32Field
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int64/kurtosis_int64.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int64/kurtosis_int64.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int64/kurtosis_int64.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int64/kurtosis_int64.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int64/kurtosis_int64.3.ast
new file mode 100644
index 0000000..fa95d6f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int64/kurtosis_int64.3.ast
@@ -0,0 +1,24 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.sql-kurtosis@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        FunctionCall test.int64@1[
+          LiteralExpr [STRING] [1]
+        ]
+        FunctionCall test.int64@1[
+          LiteralExpr [STRING] [2]
+        ]
+        FunctionCall test.int64@1[
+          LiteralExpr [STRING] [3]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int64_null/kurtosis_int64_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int64_null/kurtosis_int64_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int64_null/kurtosis_int64_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int64_null/kurtosis_int64_null.3.ast
new file mode 100644
index 0000000..f7d0f57
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int64_null/kurtosis_int64_null.3.ast
@@ -0,0 +1,23 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [kurtosis]
+    :
+    FunctionCall asterix.sql-kurtosis@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=int64Field
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int8/kurtosis_int8.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int8/kurtosis_int8.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int8/kurtosis_int8.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int8/kurtosis_int8.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int8/kurtosis_int8.3.ast
new file mode 100644
index 0000000..0c2ded8
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int8/kurtosis_int8.3.ast
@@ -0,0 +1,24 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.sql-kurtosis@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        FunctionCall test.int8@1[
+          LiteralExpr [STRING] [1]
+        ]
+        FunctionCall test.int8@1[
+          LiteralExpr [STRING] [2]
+        ]
+        FunctionCall test.int8@1[
+          LiteralExpr [STRING] [3]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int8_null/kurtosis_int8_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int8_null/kurtosis_int8_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int8_null/kurtosis_int8_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int8_null/kurtosis_int8_null.3.ast
new file mode 100644
index 0000000..8b79a50
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_int8_null/kurtosis_int8_null.3.ast
@@ -0,0 +1,23 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [kurtosis]
+    :
+    FunctionCall asterix.sql-kurtosis@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=int8Field
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_mixed/kurtosis_mixed.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_mixed/kurtosis_mixed.3.ast
new file mode 100644
index 0000000..d9571bd
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/kurtosis_mixed/kurtosis_mixed.3.ast
@@ -0,0 +1,22 @@
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.sql-kurtosis@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        FunctionCall null.float@1[
+          LiteralExpr [STRING] [2.0]
+        ]
+        LiteralExpr [STRING] [hello world]
+        LiteralExpr [LONG] [93847382783847382]
+        FunctionCall null.date@1[
+          LiteralExpr [STRING] [2013-01-01]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_kurtosis/scalar_kurtosis.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_kurtosis/scalar_kurtosis.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_kurtosis/scalar_kurtosis.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_kurtosis/scalar_kurtosis.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_kurtosis/scalar_kurtosis.3.ast
new file mode 100644
index 0000000..4cb2969
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_kurtosis/scalar_kurtosis.3.ast
@@ -0,0 +1,105 @@
+DataverseUse test
+Query:
+Let Variable [ Name=$i8 ]
+  :=
+  FunctionCall asterix.sql-kurtosis@1[
+    OrderedListConstructor [
+      FunctionCall test.int8@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int8@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int8@1[
+        LiteralExpr [STRING] [3]
+      ]
+    ]
+  ]
+Let Variable [ Name=$i16 ]
+  :=
+  FunctionCall asterix.sql-kurtosis@1[
+    OrderedListConstructor [
+      FunctionCall test.int16@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int16@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int16@1[
+        LiteralExpr [STRING] [3]
+      ]
+    ]
+  ]
+Let Variable [ Name=$i32 ]
+  :=
+  FunctionCall asterix.sql-kurtosis@1[
+    OrderedListConstructor [
+      FunctionCall test.int32@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int32@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int32@1[
+        LiteralExpr [STRING] [3]
+      ]
+    ]
+  ]
+Let Variable [ Name=$i64 ]
+  :=
+  FunctionCall asterix.sql-kurtosis@1[
+    OrderedListConstructor [
+      FunctionCall test.int64@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int64@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int64@1[
+        LiteralExpr [STRING] [3]
+      ]
+    ]
+  ]
+Let Variable [ Name=$f ]
+  :=
+  FunctionCall asterix.sql-kurtosis@1[
+    OrderedListConstructor [
+      FunctionCall test.float@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.float@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.float@1[
+        LiteralExpr [STRING] [3]
+      ]
+    ]
+  ]
+Let Variable [ Name=$d ]
+  :=
+  FunctionCall asterix.sql-kurtosis@1[
+    OrderedListConstructor [
+      FunctionCall test.double@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.double@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.double@1[
+        LiteralExpr [STRING] [3]
+      ]
+    ]
+  ]
+SELECT ELEMENT [
+Variable [ Name=$i ]
+]
+FROM [  OrderedListConstructor [
+    Variable [ Name=$i8 ]
+    Variable [ Name=$i16 ]
+    Variable [ Name=$i32 ]
+    Variable [ Name=$i64 ]
+    Variable [ Name=$f ]
+    Variable [ Name=$d ]
+  ]
+  AS Variable [ Name=$i ]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_kurtosis_empty/scalar_kurtosis_empty.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_kurtosis_empty/scalar_kurtosis_empty.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_kurtosis_empty/scalar_kurtosis_empty.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_kurtosis_empty/scalar_kurtosis_empty.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_kurtosis_empty/scalar_kurtosis_empty.3.ast
new file mode 100644
index 0000000..77a7650
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_kurtosis_empty/scalar_kurtosis_empty.3.ast
@@ -0,0 +1,7 @@
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.sql-kurtosis@1[
+  OrderedListConstructor [
+  ]
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_kurtosis_null/scalar_kurtosis_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_kurtosis_null/scalar_kurtosis_null.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_kurtosis_null/scalar_kurtosis_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_kurtosis_null/scalar_kurtosis_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_kurtosis_null/scalar_kurtosis_null.3.ast
new file mode 100644
index 0000000..cf5de4c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_kurtosis_null/scalar_kurtosis_null.3.ast
@@ -0,0 +1,111 @@
+DataverseUse test
+Query:
+Let Variable [ Name=$i8 ]
+  :=
+  FunctionCall asterix.sql-kurtosis@1[
+    OrderedListConstructor [
+      FunctionCall test.int8@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int8@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int8@1[
+        LiteralExpr [STRING] [3]
+      ]
+      LiteralExpr [NULL]
+    ]
+  ]
+Let Variable [ Name=$i16 ]
+  :=
+  FunctionCall asterix.sql-kurtosis@1[
+    OrderedListConstructor [
+      FunctionCall test.int16@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int16@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int16@1[
+        LiteralExpr [STRING] [3]
+      ]
+      LiteralExpr [NULL]
+    ]
+  ]
+Let Variable [ Name=$i32 ]
+  :=
+  FunctionCall asterix.sql-kurtosis@1[
+    OrderedListConstructor [
+      FunctionCall test.int32@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int32@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int32@1[
+        LiteralExpr [STRING] [3]
+      ]
+      LiteralExpr [NULL]
+    ]
+  ]
+Let Variable [ Name=$i64 ]
+  :=
+  FunctionCall asterix.sql-kurtosis@1[
+    OrderedListConstructor [
+      FunctionCall test.int64@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int64@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int64@1[
+        LiteralExpr [STRING] [3]
+      ]
+      LiteralExpr [NULL]
+    ]
+  ]
+Let Variable [ Name=$f ]
+  :=
+  FunctionCall asterix.sql-kurtosis@1[
+    OrderedListConstructor [
+      FunctionCall test.float@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.float@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.float@1[
+        LiteralExpr [STRING] [3]
+      ]
+      LiteralExpr [NULL]
+    ]
+  ]
+Let Variable [ Name=$d ]
+  :=
+  FunctionCall asterix.sql-kurtosis@1[
+    OrderedListConstructor [
+      FunctionCall test.double@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.double@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.double@1[
+        LiteralExpr [STRING] [3]
+      ]
+      LiteralExpr [NULL]
+    ]
+  ]
+SELECT ELEMENT [
+Variable [ Name=$i ]
+]
+FROM [  OrderedListConstructor [
+    Variable [ Name=$i8 ]
+    Variable [ Name=$i16 ]
+    Variable [ Name=$i32 ]
+    Variable [ Name=$i64 ]
+    Variable [ Name=$f ]
+    Variable [ Name=$d ]
+  ]
+  AS Variable [ Name=$i ]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_skewness/scalar_skewness.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_skewness/scalar_skewness.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_skewness/scalar_skewness.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_skewness/scalar_skewness.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_skewness/scalar_skewness.3.ast
new file mode 100644
index 0000000..c500b17
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_skewness/scalar_skewness.3.ast
@@ -0,0 +1,105 @@
+DataverseUse test
+Query:
+Let Variable [ Name=$i8 ]
+  :=
+  FunctionCall asterix.sql-skewness@1[
+    OrderedListConstructor [
+      FunctionCall test.int8@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int8@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int8@1[
+        LiteralExpr [STRING] [3]
+      ]
+    ]
+  ]
+Let Variable [ Name=$i16 ]
+  :=
+  FunctionCall asterix.sql-skewness@1[
+    OrderedListConstructor [
+      FunctionCall test.int16@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int16@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int16@1[
+        LiteralExpr [STRING] [3]
+      ]
+    ]
+  ]
+Let Variable [ Name=$i32 ]
+  :=
+  FunctionCall asterix.sql-skewness@1[
+    OrderedListConstructor [
+      FunctionCall test.int32@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int32@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int32@1[
+        LiteralExpr [STRING] [3]
+      ]
+    ]
+  ]
+Let Variable [ Name=$i64 ]
+  :=
+  FunctionCall asterix.sql-skewness@1[
+    OrderedListConstructor [
+      FunctionCall test.int64@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int64@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int64@1[
+        LiteralExpr [STRING] [3]
+      ]
+    ]
+  ]
+Let Variable [ Name=$f ]
+  :=
+  FunctionCall asterix.sql-skewness@1[
+    OrderedListConstructor [
+      FunctionCall test.float@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.float@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.float@1[
+        LiteralExpr [STRING] [3]
+      ]
+    ]
+  ]
+Let Variable [ Name=$d ]
+  :=
+  FunctionCall asterix.sql-skewness@1[
+    OrderedListConstructor [
+      FunctionCall test.double@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.double@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.double@1[
+        LiteralExpr [STRING] [3]
+      ]
+    ]
+  ]
+SELECT ELEMENT [
+Variable [ Name=$i ]
+]
+FROM [  OrderedListConstructor [
+    Variable [ Name=$i8 ]
+    Variable [ Name=$i16 ]
+    Variable [ Name=$i32 ]
+    Variable [ Name=$i64 ]
+    Variable [ Name=$f ]
+    Variable [ Name=$d ]
+  ]
+  AS Variable [ Name=$i ]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_skewness_empty/scalar_skewness_empty.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_skewness_empty/scalar_skewness_empty.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_skewness_empty/scalar_skewness_empty.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_skewness_empty/scalar_skewness_empty.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_skewness_empty/scalar_skewness_empty.3.ast
new file mode 100644
index 0000000..a869913
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_skewness_empty/scalar_skewness_empty.3.ast
@@ -0,0 +1,7 @@
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.sql-skewness@1[
+  OrderedListConstructor [
+  ]
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_skewness_null/scalar_skewness_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_skewness_null/scalar_skewness_null.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_skewness_null/scalar_skewness_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_skewness_null/scalar_skewness_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_skewness_null/scalar_skewness_null.3.ast
new file mode 100644
index 0000000..d3fd744
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_skewness_null/scalar_skewness_null.3.ast
@@ -0,0 +1,111 @@
+DataverseUse test
+Query:
+Let Variable [ Name=$i8 ]
+  :=
+  FunctionCall asterix.sql-skewness@1[
+    OrderedListConstructor [
+      FunctionCall test.int8@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int8@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int8@1[
+        LiteralExpr [STRING] [3]
+      ]
+      LiteralExpr [NULL]
+    ]
+  ]
+Let Variable [ Name=$i16 ]
+  :=
+  FunctionCall asterix.sql-skewness@1[
+    OrderedListConstructor [
+      FunctionCall test.int16@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int16@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int16@1[
+        LiteralExpr [STRING] [3]
+      ]
+      LiteralExpr [NULL]
+    ]
+  ]
+Let Variable [ Name=$i32 ]
+  :=
+  FunctionCall asterix.sql-skewness@1[
+    OrderedListConstructor [
+      FunctionCall test.int32@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int32@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int32@1[
+        LiteralExpr [STRING] [3]
+      ]
+      LiteralExpr [NULL]
+    ]
+  ]
+Let Variable [ Name=$i64 ]
+  :=
+  FunctionCall asterix.sql-skewness@1[
+    OrderedListConstructor [
+      FunctionCall test.int64@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int64@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int64@1[
+        LiteralExpr [STRING] [3]
+      ]
+      LiteralExpr [NULL]
+    ]
+  ]
+Let Variable [ Name=$f ]
+  :=
+  FunctionCall asterix.sql-skewness@1[
+    OrderedListConstructor [
+      FunctionCall test.float@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.float@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.float@1[
+        LiteralExpr [STRING] [3]
+      ]
+      LiteralExpr [NULL]
+    ]
+  ]
+Let Variable [ Name=$d ]
+  :=
+  FunctionCall asterix.sql-skewness@1[
+    OrderedListConstructor [
+      FunctionCall test.double@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.double@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.double@1[
+        LiteralExpr [STRING] [3]
+      ]
+      LiteralExpr [NULL]
+    ]
+  ]
+SELECT ELEMENT [
+Variable [ Name=$i ]
+]
+FROM [  OrderedListConstructor [
+    Variable [ Name=$i8 ]
+    Variable [ Name=$i16 ]
+    Variable [ Name=$i32 ]
+    Variable [ Name=$i64 ]
+    Variable [ Name=$f ]
+    Variable [ Name=$d ]
+  ]
+  AS Variable [ Name=$i ]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_stddev/scalar_stddev.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_stddev/scalar_stddev.3.ast
index c9a7865..0c5206c 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_stddev/scalar_stddev.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_stddev/scalar_stddev.3.ast
@@ -2,12 +2,12 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
     (
       Let Variable [ Name=$i8 ]
         :=
-        FunctionCall asterix.sql-stddev@1[
+        FunctionCall asterix.sql-stddev_samp@1[
           OrderedListConstructor [
             FunctionCall test.int8@1[
               LiteralExpr [STRING] [1]
@@ -22,7 +22,7 @@
         ]
       Let Variable [ Name=$i16 ]
         :=
-        FunctionCall asterix.sql-stddev@1[
+        FunctionCall asterix.sql-stddev_samp@1[
           OrderedListConstructor [
             FunctionCall test.int16@1[
               LiteralExpr [STRING] [1]
@@ -37,7 +37,7 @@
         ]
       Let Variable [ Name=$i32 ]
         :=
-        FunctionCall asterix.sql-stddev@1[
+        FunctionCall asterix.sql-stddev_samp@1[
           OrderedListConstructor [
             FunctionCall test.int32@1[
               LiteralExpr [STRING] [1]
@@ -52,7 +52,7 @@
         ]
       Let Variable [ Name=$i64 ]
         :=
-        FunctionCall asterix.sql-stddev@1[
+        FunctionCall asterix.sql-stddev_samp@1[
           OrderedListConstructor [
             FunctionCall test.int64@1[
               LiteralExpr [STRING] [1]
@@ -67,7 +67,7 @@
         ]
       Let Variable [ Name=$f ]
         :=
-        FunctionCall asterix.sql-stddev@1[
+        FunctionCall asterix.sql-stddev_samp@1[
           OrderedListConstructor [
             FunctionCall test.float@1[
               LiteralExpr [STRING] [1]
@@ -82,7 +82,7 @@
         ]
       Let Variable [ Name=$d ]
         :=
-        FunctionCall asterix.sql-stddev@1[
+        FunctionCall asterix.sql-stddev_samp@1[
           OrderedListConstructor [
             FunctionCall test.double@1[
               LiteralExpr [STRING] [1]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_stddev_empty/scalar_stddev_empty.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_stddev_empty/scalar_stddev_empty.3.ast
index 3fd8fec..c12ee45 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_stddev_empty/scalar_stddev_empty.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_stddev_empty/scalar_stddev_empty.3.ast
@@ -1,11 +1,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.sql-stddev@1[
+      FunctionCall asterix.sql-stddev_samp@1[
         OrderedListConstructor [
         ]
       ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_stddev_null/scalar_stddev_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_stddev_null/scalar_stddev_null.3.ast
index 5615328..0c4e2b9 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_stddev_null/scalar_stddev_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_stddev_null/scalar_stddev_null.3.ast
@@ -2,12 +2,12 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
     (
       Let Variable [ Name=$i8 ]
         :=
-        FunctionCall asterix.sql-stddev@1[
+        FunctionCall asterix.sql-stddev_samp@1[
           OrderedListConstructor [
             FunctionCall test.int8@1[
               LiteralExpr [STRING] [1]
@@ -23,7 +23,7 @@
         ]
       Let Variable [ Name=$i16 ]
         :=
-        FunctionCall asterix.sql-stddev@1[
+        FunctionCall asterix.sql-stddev_samp@1[
           OrderedListConstructor [
             FunctionCall test.int16@1[
               LiteralExpr [STRING] [1]
@@ -39,7 +39,7 @@
         ]
       Let Variable [ Name=$i32 ]
         :=
-        FunctionCall asterix.sql-stddev@1[
+        FunctionCall asterix.sql-stddev_samp@1[
           OrderedListConstructor [
             FunctionCall test.int32@1[
               LiteralExpr [STRING] [1]
@@ -55,7 +55,7 @@
         ]
       Let Variable [ Name=$i64 ]
         :=
-        FunctionCall asterix.sql-stddev@1[
+        FunctionCall asterix.sql-stddev_samp@1[
           OrderedListConstructor [
             FunctionCall test.int64@1[
               LiteralExpr [STRING] [1]
@@ -71,7 +71,7 @@
         ]
       Let Variable [ Name=$f ]
         :=
-        FunctionCall asterix.sql-stddev@1[
+        FunctionCall asterix.sql-stddev_samp@1[
           OrderedListConstructor [
             FunctionCall test.float@1[
               LiteralExpr [STRING] [1]
@@ -87,7 +87,7 @@
         ]
       Let Variable [ Name=$d ]
         :=
-        FunctionCall asterix.sql-stddev@1[
+        FunctionCall asterix.sql-stddev_samp@1[
           OrderedListConstructor [
             FunctionCall test.double@1[
               LiteralExpr [STRING] [1]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_var/scalar_var.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_var/scalar_var.3.ast
index 71b0a16..190da47 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_var/scalar_var.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_var/scalar_var.3.ast
@@ -2,12 +2,12 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
     (
       Let Variable [ Name=$i8 ]
         :=
-        FunctionCall asterix.sql-var@1[
+        FunctionCall asterix.sql-var_samp@1[
           OrderedListConstructor [
             FunctionCall test.int8@1[
               LiteralExpr [STRING] [1]
@@ -22,7 +22,7 @@
         ]
       Let Variable [ Name=$i16 ]
         :=
-        FunctionCall asterix.sql-var@1[
+        FunctionCall asterix.sql-var_samp@1[
           OrderedListConstructor [
             FunctionCall test.int16@1[
               LiteralExpr [STRING] [1]
@@ -37,7 +37,7 @@
         ]
       Let Variable [ Name=$i32 ]
         :=
-        FunctionCall asterix.sql-var@1[
+        FunctionCall asterix.sql-var_samp@1[
           OrderedListConstructor [
             FunctionCall test.int32@1[
               LiteralExpr [STRING] [1]
@@ -52,7 +52,7 @@
         ]
       Let Variable [ Name=$i64 ]
         :=
-        FunctionCall asterix.sql-var@1[
+        FunctionCall asterix.sql-var_samp@1[
           OrderedListConstructor [
             FunctionCall test.int64@1[
               LiteralExpr [STRING] [1]
@@ -67,7 +67,7 @@
         ]
       Let Variable [ Name=$f ]
         :=
-        FunctionCall asterix.sql-var@1[
+        FunctionCall asterix.sql-var_samp@1[
           OrderedListConstructor [
             FunctionCall test.float@1[
               LiteralExpr [STRING] [1]
@@ -82,7 +82,7 @@
         ]
       Let Variable [ Name=$d ]
         :=
-        FunctionCall asterix.sql-var@1[
+        FunctionCall asterix.sql-var_samp@1[
           OrderedListConstructor [
             FunctionCall test.double@1[
               LiteralExpr [STRING] [1]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_var_empty/scalar_var_empty.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_var_empty/scalar_var_empty.3.ast
index a4126bb..43e6f6c 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_var_empty/scalar_var_empty.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_var_empty/scalar_var_empty.3.ast
@@ -1,11 +1,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.sql-var@1[
+      FunctionCall asterix.sql-var_samp@1[
         OrderedListConstructor [
         ]
       ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_var_null/scalar_var_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_var_null/scalar_var_null.3.ast
index 22e3104..09ace81 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_var_null/scalar_var_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/scalar_var_null/scalar_var_null.3.ast
@@ -2,12 +2,12 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
     (
       Let Variable [ Name=$i8 ]
         :=
-        FunctionCall asterix.sql-var@1[
+        FunctionCall asterix.sql-var_samp@1[
           OrderedListConstructor [
             FunctionCall test.int8@1[
               LiteralExpr [STRING] [1]
@@ -23,7 +23,7 @@
         ]
       Let Variable [ Name=$i16 ]
         :=
-        FunctionCall asterix.sql-var@1[
+        FunctionCall asterix.sql-var_samp@1[
           OrderedListConstructor [
             FunctionCall test.int16@1[
               LiteralExpr [STRING] [1]
@@ -39,7 +39,7 @@
         ]
       Let Variable [ Name=$i32 ]
         :=
-        FunctionCall asterix.sql-var@1[
+        FunctionCall asterix.sql-var_samp@1[
           OrderedListConstructor [
             FunctionCall test.int32@1[
               LiteralExpr [STRING] [1]
@@ -55,7 +55,7 @@
         ]
       Let Variable [ Name=$i64 ]
         :=
-        FunctionCall asterix.sql-var@1[
+        FunctionCall asterix.sql-var_samp@1[
           OrderedListConstructor [
             FunctionCall test.int64@1[
               LiteralExpr [STRING] [1]
@@ -71,7 +71,7 @@
         ]
       Let Variable [ Name=$f ]
         :=
-        FunctionCall asterix.sql-var@1[
+        FunctionCall asterix.sql-var_samp@1[
           OrderedListConstructor [
             FunctionCall test.float@1[
               LiteralExpr [STRING] [1]
@@ -87,7 +87,7 @@
         ]
       Let Variable [ Name=$d ]
         :=
-        FunctionCall asterix.sql-var@1[
+        FunctionCall asterix.sql-var_samp@1[
           OrderedListConstructor [
             FunctionCall test.double@1[
               LiteralExpr [STRING] [1]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_double/serial_kurtosis_double.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_double/serial_kurtosis_double.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_double/serial_kurtosis_double.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_double/serial_kurtosis_double.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_double/serial_kurtosis_double.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_double/serial_kurtosis_double.3.ast
new file mode 100644
index 0000000..77b4c9d
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_double/serial_kurtosis_double.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_double_null/serial_kurtosis_double_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_double_null/serial_kurtosis_double_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_double_null/serial_kurtosis_double_null.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_double_null/serial_kurtosis_double_null.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_double_null/serial_kurtosis_double_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_double_null/serial_kurtosis_double_null.3.ast
new file mode 100644
index 0000000..367ea53
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_double_null/serial_kurtosis_double_null.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_empty/serial_kurtosis_empty.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_empty/serial_kurtosis_empty.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_empty/serial_kurtosis_empty.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_empty/serial_kurtosis_empty.3.ast
new file mode 100644
index 0000000..77b4c9d
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_empty/serial_kurtosis_empty.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_float/serial_kurtosis_float.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_float/serial_kurtosis_float.1.ast
new file mode 100644
index 0000000..9af248f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_float/serial_kurtosis_float.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : float
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_float/serial_kurtosis_float.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_float/serial_kurtosis_float.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_float/serial_kurtosis_float.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_float/serial_kurtosis_float.3.ast
new file mode 100644
index 0000000..77b4c9d
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_float/serial_kurtosis_float.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_float_null/serial_kurtosis_float_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_float_null/serial_kurtosis_float_null.1.ast
new file mode 100644
index 0000000..9af248f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_float_null/serial_kurtosis_float_null.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : float
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_float_null/serial_kurtosis_float_null.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_float_null/serial_kurtosis_float_null.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_float_null/serial_kurtosis_float_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_float_null/serial_kurtosis_float_null.3.ast
new file mode 100644
index 0000000..367ea53
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_float_null/serial_kurtosis_float_null.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int16/serial_kurtosis_int16.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int16/serial_kurtosis_int16.1.ast
new file mode 100644
index 0000000..16d25a8
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int16/serial_kurtosis_int16.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : smallint
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int16/serial_kurtosis_int16.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int16/serial_kurtosis_int16.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int16/serial_kurtosis_int16.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int16/serial_kurtosis_int16.3.ast
new file mode 100644
index 0000000..77b4c9d
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int16/serial_kurtosis_int16.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int16_null/serial_kurtosis_int16_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int16_null/serial_kurtosis_int16_null.1.ast
new file mode 100644
index 0000000..16d25a8
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int16_null/serial_kurtosis_int16_null.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : smallint
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int16_null/serial_kurtosis_int16_null.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int16_null/serial_kurtosis_int16_null.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int16_null/serial_kurtosis_int16_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int16_null/serial_kurtosis_int16_null.3.ast
new file mode 100644
index 0000000..367ea53
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int16_null/serial_kurtosis_int16_null.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int32/serial_kurtosis_int32.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int32/serial_kurtosis_int32.1.ast
new file mode 100644
index 0000000..6eaf31a
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int32/serial_kurtosis_int32.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : integer
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int32/serial_kurtosis_int32.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int32/serial_kurtosis_int32.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int32/serial_kurtosis_int32.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int32/serial_kurtosis_int32.3.ast
new file mode 100644
index 0000000..77b4c9d
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int32/serial_kurtosis_int32.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int32_null/serial_kurtosis_int32_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int32_null/serial_kurtosis_int32_null.1.ast
new file mode 100644
index 0000000..6eaf31a
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int32_null/serial_kurtosis_int32_null.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : integer
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int32_null/serial_kurtosis_int32_null.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int32_null/serial_kurtosis_int32_null.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int32_null/serial_kurtosis_int32_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int32_null/serial_kurtosis_int32_null.3.ast
new file mode 100644
index 0000000..367ea53
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int32_null/serial_kurtosis_int32_null.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int64/serial_kurtosis_int64.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int64/serial_kurtosis_int64.1.ast
new file mode 100644
index 0000000..7911712
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int64/serial_kurtosis_int64.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : bigint
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int64/serial_kurtosis_int64.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int64/serial_kurtosis_int64.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int64/serial_kurtosis_int64.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int64/serial_kurtosis_int64.3.ast
new file mode 100644
index 0000000..77b4c9d
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int64/serial_kurtosis_int64.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int64_null/serial_kurtosis_int64_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int64_null/serial_kurtosis_int64_null.1.ast
new file mode 100644
index 0000000..7911712
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int64_null/serial_kurtosis_int64_null.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : bigint
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int64_null/serial_kurtosis_int64_null.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int64_null/serial_kurtosis_int64_null.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int64_null/serial_kurtosis_int64_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int64_null/serial_kurtosis_int64_null.3.ast
new file mode 100644
index 0000000..367ea53
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int64_null/serial_kurtosis_int64_null.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int8/serial_kurtosis_int8.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int8/serial_kurtosis_int8.1.ast
new file mode 100644
index 0000000..44c9cde
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int8/serial_kurtosis_int8.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : tinyint
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int8/serial_kurtosis_int8.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int8/serial_kurtosis_int8.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int8/serial_kurtosis_int8.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int8/serial_kurtosis_int8.3.ast
new file mode 100644
index 0000000..77b4c9d
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int8/serial_kurtosis_int8.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int8_null/serial_kurtosis_int8_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int8_null/serial_kurtosis_int8_null.1.ast
new file mode 100644
index 0000000..44c9cde
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int8_null/serial_kurtosis_int8_null.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : tinyint
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int8_null/serial_kurtosis_int8_null.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int8_null/serial_kurtosis_int8_null.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int8_null/serial_kurtosis_int8_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int8_null/serial_kurtosis_int8_null.3.ast
new file mode 100644
index 0000000..367ea53
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_int8_null/serial_kurtosis_int8_null.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_mixed/serial_kurtosis_mixed.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_mixed/serial_kurtosis_mixed.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_mixed/serial_kurtosis_mixed.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_mixed/serial_kurtosis_mixed.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_mixed/serial_kurtosis_mixed.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_mixed/serial_kurtosis_mixed.3.ast
new file mode 100644
index 0000000..c388d44
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_kurtosis_mixed/serial_kurtosis_mixed.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    valplus:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [valplus]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_double/serial_skewness_double.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_double/serial_skewness_double.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_double/serial_skewness_double.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_double/serial_skewness_double.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_double/serial_skewness_double.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_double/serial_skewness_double.3.ast
new file mode 100644
index 0000000..d77c450
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_double/serial_skewness_double.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_double_null/serial_skewness_double_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_double_null/serial_skewness_double_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_double_null/serial_skewness_double_null.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_double_null/serial_skewness_double_null.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_double_null/serial_skewness_double_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_double_null/serial_skewness_double_null.3.ast
new file mode 100644
index 0000000..126091f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_double_null/serial_skewness_double_null.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_empty/serial_skewness_empty.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_empty/serial_skewness_empty.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_empty/serial_skewness_empty.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_empty/serial_skewness_empty.3.ast
new file mode 100644
index 0000000..d77c450
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_empty/serial_skewness_empty.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_float/serial_skewness_float.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_float/serial_skewness_float.1.ast
new file mode 100644
index 0000000..9af248f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_float/serial_skewness_float.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : float
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_float/serial_skewness_float.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_float/serial_skewness_float.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_float/serial_skewness_float.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_float/serial_skewness_float.3.ast
new file mode 100644
index 0000000..d77c450
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_float/serial_skewness_float.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_float_null/serial_skewness_float_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_float_null/serial_skewness_float_null.1.ast
new file mode 100644
index 0000000..9af248f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_float_null/serial_skewness_float_null.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : float
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_float_null/serial_skewness_float_null.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_float_null/serial_skewness_float_null.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_float_null/serial_skewness_float_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_float_null/serial_skewness_float_null.3.ast
new file mode 100644
index 0000000..126091f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_float_null/serial_skewness_float_null.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int16/serial_skewness_int16.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int16/serial_skewness_int16.1.ast
new file mode 100644
index 0000000..16d25a8
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int16/serial_skewness_int16.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : smallint
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int16/serial_skewness_int16.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int16/serial_skewness_int16.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int16/serial_skewness_int16.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int16/serial_skewness_int16.3.ast
new file mode 100644
index 0000000..d77c450
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int16/serial_skewness_int16.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int16_null/serial_skewness_int16_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int16_null/serial_skewness_int16_null.1.ast
new file mode 100644
index 0000000..16d25a8
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int16_null/serial_skewness_int16_null.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : smallint
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int16_null/serial_skewness_int16_null.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int16_null/serial_skewness_int16_null.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int16_null/serial_skewness_int16_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int16_null/serial_skewness_int16_null.3.ast
new file mode 100644
index 0000000..126091f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int16_null/serial_skewness_int16_null.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int32/serial_skewness_int32.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int32/serial_skewness_int32.1.ast
new file mode 100644
index 0000000..6eaf31a
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int32/serial_skewness_int32.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : integer
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int32/serial_skewness_int32.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int32/serial_skewness_int32.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int32/serial_skewness_int32.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int32/serial_skewness_int32.3.ast
new file mode 100644
index 0000000..d77c450
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int32/serial_skewness_int32.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int32_null/serial_skewness_int32_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int32_null/serial_skewness_int32_null.1.ast
new file mode 100644
index 0000000..6eaf31a
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int32_null/serial_skewness_int32_null.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : integer
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int32_null/serial_skewness_int32_null.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int32_null/serial_skewness_int32_null.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int32_null/serial_skewness_int32_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int32_null/serial_skewness_int32_null.3.ast
new file mode 100644
index 0000000..126091f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int32_null/serial_skewness_int32_null.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int64/serial_skewness_int64.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int64/serial_skewness_int64.1.ast
new file mode 100644
index 0000000..7911712
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int64/serial_skewness_int64.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : bigint
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int64/serial_skewness_int64.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int64/serial_skewness_int64.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int64/serial_skewness_int64.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int64/serial_skewness_int64.3.ast
new file mode 100644
index 0000000..d77c450
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int64/serial_skewness_int64.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int64_null/serial_skewness_int64_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int64_null/serial_skewness_int64_null.1.ast
new file mode 100644
index 0000000..7911712
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int64_null/serial_skewness_int64_null.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : bigint
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int64_null/serial_skewness_int64_null.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int64_null/serial_skewness_int64_null.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int64_null/serial_skewness_int64_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int64_null/serial_skewness_int64_null.3.ast
new file mode 100644
index 0000000..126091f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int64_null/serial_skewness_int64_null.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int8/serial_skewness_int8.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int8/serial_skewness_int8.1.ast
new file mode 100644
index 0000000..44c9cde
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int8/serial_skewness_int8.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : tinyint
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int8/serial_skewness_int8.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int8/serial_skewness_int8.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int8/serial_skewness_int8.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int8/serial_skewness_int8.3.ast
new file mode 100644
index 0000000..d77c450
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int8/serial_skewness_int8.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int8_null/serial_skewness_int8_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int8_null/serial_skewness_int8_null.1.ast
new file mode 100644
index 0000000..44c9cde
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int8_null/serial_skewness_int8_null.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : tinyint
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int8_null/serial_skewness_int8_null.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int8_null/serial_skewness_int8_null.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int8_null/serial_skewness_int8_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int8_null/serial_skewness_int8_null.3.ast
new file mode 100644
index 0000000..126091f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_int8_null/serial_skewness_int8_null.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      FieldAccessor [
+        Variable [ Name=#2 ]
+        Field=t
+      ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=#1 ]
+      AS Variable [ Name=#2 ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=#1 ]
+  (
+    t:=Variable [ Name=$t ]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_mixed/serial_skewness_mixed.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_mixed/serial_skewness_mixed.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_mixed/serial_skewness_mixed.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_mixed/serial_skewness_mixed.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_mixed/serial_skewness_mixed.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_mixed/serial_skewness_mixed.3.ast
new file mode 100644
index 0000000..93911c5
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_skewness_mixed/serial_skewness_mixed.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    valplus:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [valplus]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_double/serial_stddev_double.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_double/serial_stddev_double.3.ast
index d9e097b..f584460 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_double/serial_stddev_double.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_double/serial_stddev_double.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.sql-stddev@1[
+FunctionCall asterix.sql-stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -19,7 +19,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.sql-stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_double_null/serial_stddev_double_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_double_null/serial_stddev_double_null.3.ast
index 923fc41..5fffca0 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_double_null/serial_stddev_double_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_double_null/serial_stddev_double_null.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.sql-stddev@1[
+FunctionCall asterix.sql-stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -19,7 +19,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.sql-stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_empty/serial_stddev_empty.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_empty/serial_stddev_empty.3.ast
index d9e097b..f584460 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_empty/serial_stddev_empty.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_empty/serial_stddev_empty.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.sql-stddev@1[
+FunctionCall asterix.sql-stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -19,7 +19,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.sql-stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_float/serial_stddev_float.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_float/serial_stddev_float.3.ast
index d9e097b..f584460 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_float/serial_stddev_float.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_float/serial_stddev_float.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.sql-stddev@1[
+FunctionCall asterix.sql-stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -19,7 +19,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.sql-stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_float_null/serial_stddev_float_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_float_null/serial_stddev_float_null.3.ast
index 923fc41..5fffca0 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_float_null/serial_stddev_float_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_float_null/serial_stddev_float_null.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.sql-stddev@1[
+FunctionCall asterix.sql-stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -19,7 +19,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.sql-stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int16/serial_stddev_int16.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int16/serial_stddev_int16.3.ast
index d9e097b..f584460 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int16/serial_stddev_int16.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int16/serial_stddev_int16.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.sql-stddev@1[
+FunctionCall asterix.sql-stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -19,7 +19,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.sql-stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int16_null/serial_stddev_int16_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int16_null/serial_stddev_int16_null.3.ast
index 923fc41..5fffca0 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int16_null/serial_stddev_int16_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int16_null/serial_stddev_int16_null.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.sql-stddev@1[
+FunctionCall asterix.sql-stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -19,7 +19,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.sql-stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int32/serial_stddev_int32.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int32/serial_stddev_int32.3.ast
index d9e097b..f584460 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int32/serial_stddev_int32.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int32/serial_stddev_int32.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.sql-stddev@1[
+FunctionCall asterix.sql-stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -19,7 +19,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.sql-stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int32_null/serial_stddev_int32_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int32_null/serial_stddev_int32_null.3.ast
index 923fc41..5fffca0 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int32_null/serial_stddev_int32_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int32_null/serial_stddev_int32_null.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.sql-stddev@1[
+FunctionCall asterix.sql-stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -19,7 +19,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.sql-stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int64/serial_stddev_int64.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int64/serial_stddev_int64.3.ast
index d9e097b..f584460 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int64/serial_stddev_int64.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int64/serial_stddev_int64.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.sql-stddev@1[
+FunctionCall asterix.sql-stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -19,7 +19,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.sql-stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int64_null/serial_stddev_int64_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int64_null/serial_stddev_int64_null.3.ast
index 923fc41..5fffca0 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int64_null/serial_stddev_int64_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int64_null/serial_stddev_int64_null.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.sql-stddev@1[
+FunctionCall asterix.sql-stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -19,7 +19,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.sql-stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int8/serial_stddev_int8.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int8/serial_stddev_int8.3.ast
index d9e097b..f584460 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int8/serial_stddev_int8.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int8/serial_stddev_int8.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.sql-stddev@1[
+FunctionCall asterix.sql-stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -19,7 +19,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.sql-stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int8_null/serial_stddev_int8_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int8_null/serial_stddev_int8_null.3.ast
index 923fc41..5fffca0 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int8_null/serial_stddev_int8_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_int8_null/serial_stddev_int8_null.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.sql-stddev@1[
+FunctionCall asterix.sql-stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -19,7 +19,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.sql-stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.3.ast
deleted file mode 100644
index 8a897bc..0000000
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.3.ast
+++ /dev/null
@@ -1,40 +0,0 @@
-DataverseUse test
-Query:
-SELECT [
-Variable [ Name=$gid ]
-gid
-FunctionCall asterix.sql-stddev@1[
-  (
-    SELECT ELEMENT [
-    FieldAccessor [
-      Variable [ Name=$g ]
-      Field=valplus
-    ]
-    ]
-    FROM [      Variable [ Name=$g ]
-      AS Variable [ Name=$g ]
-    ]
-  )
-]
-stddev
-]
-FROM [  FunctionCall asterix.dataset@1[
-    LiteralExpr [STRING] [test.Test]
-  ]
-  AS Variable [ Name=$t ]
-]
-Groupby
-  Variable [ Name=$gid ]
-  :=
-  FieldAccessor [
-    Variable [ Name=$t ]
-    Field=gid
-  ]
-  GROUP AS Variable [ Name=$g ]
-  (
-    valplus:=FunctionCall asterix.field-access-by-name@2[
-  Variable [ Name=$t ]
-  LiteralExpr [STRING] [valplus]
-]
-  )
-
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_mixed.1.ast
similarity index 100%
rename from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.1.ast
rename to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_mixed.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_mixed.2.ast
similarity index 100%
rename from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
rename to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_mixed.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_mixed.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_mixed.3.ast
new file mode 100644
index 0000000..60cfe76
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_mixed.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-stddev_samp@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+stddev_samp
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    valplus:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [valplus]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_pop_mixed/serial_stddev_pop_int64_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_pop_mixed/serial_stddev_pop_mixed.1.ast
similarity index 100%
rename from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_pop_mixed/serial_stddev_pop_int64_null.1.ast
rename to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_pop_mixed/serial_stddev_pop_mixed.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_pop_mixed/serial_stddev_pop_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_pop_mixed/serial_stddev_pop_mixed.2.ast
similarity index 100%
rename from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_pop_mixed/serial_stddev_pop_int64_null.2.ast
rename to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_pop_mixed/serial_stddev_pop_mixed.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_pop_mixed/serial_stddev_pop_int64_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_pop_mixed/serial_stddev_pop_mixed.3.ast
similarity index 100%
rename from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_pop_mixed/serial_stddev_pop_int64_null.3.ast
rename to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_pop_mixed/serial_stddev_pop_mixed.3.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.3.ast
deleted file mode 100644
index 5ed5c3a..0000000
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.3.ast
+++ /dev/null
@@ -1,40 +0,0 @@
-DataverseUse test
-Query:
-SELECT [
-Variable [ Name=$gid ]
-gid
-FunctionCall asterix.sql-var@1[
-  (
-    SELECT ELEMENT [
-    FieldAccessor [
-      Variable [ Name=$g ]
-      Field=valplus
-    ]
-    ]
-    FROM [      Variable [ Name=$g ]
-      AS Variable [ Name=$g ]
-    ]
-  )
-]
-var
-]
-FROM [  FunctionCall asterix.dataset@1[
-    LiteralExpr [STRING] [test.Test]
-  ]
-  AS Variable [ Name=$t ]
-]
-Groupby
-  Variable [ Name=$gid ]
-  :=
-  FieldAccessor [
-    Variable [ Name=$t ]
-    Field=gid
-  ]
-  GROUP AS Variable [ Name=$g ]
-  (
-    valplus:=FunctionCall asterix.field-access-by-name@2[
-  Variable [ Name=$t ]
-  LiteralExpr [STRING] [valplus]
-]
-  )
-
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_mixed.1.ast
similarity index 100%
rename from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.1.ast
rename to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_mixed.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_mixed.2.ast
similarity index 100%
rename from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
rename to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_mixed.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_mixed.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_mixed.3.ast
new file mode 100644
index 0000000..1087b9d
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_mixed.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.sql-var_samp@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+var_samp
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    valplus:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [valplus]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_pop_mixed/serial_var_pop_int64_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_pop_mixed/serial_var_pop_mixed.1.ast
similarity index 100%
rename from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_pop_mixed/serial_var_pop_int64_null.1.ast
rename to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_pop_mixed/serial_var_pop_mixed.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_pop_mixed/serial_var_pop_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_pop_mixed/serial_var_pop_mixed.2.ast
similarity index 100%
rename from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_pop_mixed/serial_var_pop_int64_null.2.ast
rename to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_pop_mixed/serial_var_pop_mixed.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_pop_mixed/serial_var_pop_int64_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_pop_mixed/serial_var_pop_mixed.3.ast
similarity index 100%
rename from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_pop_mixed/serial_var_pop_int64_null.3.ast
rename to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_pop_mixed/serial_var_pop_mixed.3.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_double/skewness_double.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_double/skewness_double.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_double/skewness_double.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_double/skewness_double.3.ast
new file mode 100644
index 0000000..257e9b4
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_double/skewness_double.3.ast
@@ -0,0 +1,19 @@
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.sql-skewness@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        LiteralExpr [DOUBLE] [1.0]
+        LiteralExpr [DOUBLE] [2.0]
+        FunctionCall null.double@1[
+          LiteralExpr [STRING] [3.0]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_double_null/skewness_double_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_double_null/skewness_double_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_double_null/skewness_double_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_double_null/skewness_double_null.3.ast
new file mode 100644
index 0000000..efd55a6
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_double_null/skewness_double_null.3.ast
@@ -0,0 +1,23 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [skewness]
+    :
+    FunctionCall asterix.sql-skewness@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=doubleField
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_empty_01/skewness_empty_01.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_empty_01/skewness_empty_01.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_empty_01/skewness_empty_01.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_empty_01/skewness_empty_01.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_empty_01/skewness_empty_01.3.ast
new file mode 100644
index 0000000..5419977
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_empty_01/skewness_empty_01.3.ast
@@ -0,0 +1,24 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.sql-skewness@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        LiteralExpr [LONG] [1]
+        LiteralExpr [LONG] [2]
+        LiteralExpr [LONG] [3]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+    Where
+      OperatorExpr [
+        Variable [ Name=$x ]
+        >
+        LiteralExpr [LONG] [10]
+      ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_empty_02/skewness_empty_02.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_empty_02/skewness_empty_02.1.ast
new file mode 100644
index 0000000..baf977e
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_empty_02/skewness_empty_02.1.ast
@@ -0,0 +1,8 @@
+DataverseUse test
+TypeDecl TestType [
+  closed RecordType {
+    id : bigint,
+    val : double
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_empty_02/skewness_empty_02.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_empty_02/skewness_empty_02.3.ast
new file mode 100644
index 0000000..3ddfd4d
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_empty_02/skewness_empty_02.3.ast
@@ -0,0 +1,19 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.sql-skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$x ]
+      Field=val
+    ]
+    ]
+    FROM [      FunctionCall asterix.dataset@1[
+        LiteralExpr [STRING] [test.Test]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_float/skewness_float.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_float/skewness_float.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_float/skewness_float.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_float/skewness_float.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_float/skewness_float.3.ast
new file mode 100644
index 0000000..2eed91d
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_float/skewness_float.3.ast
@@ -0,0 +1,24 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.sql-skewness@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        FunctionCall test.float@1[
+          LiteralExpr [STRING] [1]
+        ]
+        FunctionCall test.float@1[
+          LiteralExpr [STRING] [2]
+        ]
+        FunctionCall test.float@1[
+          LiteralExpr [STRING] [3]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_float_null/skewness_float_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_float_null/skewness_float_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_float_null/skewness_float_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_float_null/skewness_float_null.3.ast
new file mode 100644
index 0000000..75251b9
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_float_null/skewness_float_null.3.ast
@@ -0,0 +1,23 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [skewness]
+    :
+    FunctionCall asterix.sql-skewness@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=floatField
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int16/skewness_int16.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int16/skewness_int16.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int16/skewness_int16.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int16/skewness_int16.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int16/skewness_int16.3.ast
new file mode 100644
index 0000000..46e1594
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int16/skewness_int16.3.ast
@@ -0,0 +1,24 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.sql-skewness@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        FunctionCall test.int16@1[
+          LiteralExpr [STRING] [1]
+        ]
+        FunctionCall test.int16@1[
+          LiteralExpr [STRING] [2]
+        ]
+        FunctionCall test.int16@1[
+          LiteralExpr [STRING] [3]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int16_null/skewness_int16_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int16_null/skewness_int16_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int16_null/skewness_int16_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int16_null/skewness_int16_null.3.ast
new file mode 100644
index 0000000..a454859
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int16_null/skewness_int16_null.3.ast
@@ -0,0 +1,23 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [skewness]
+    :
+    FunctionCall asterix.sql-skewness@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=int16Field
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int32/skewness_int32.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int32/skewness_int32.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int32/skewness_int32.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int32/skewness_int32.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int32/skewness_int32.3.ast
new file mode 100644
index 0000000..d9c0023
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int32/skewness_int32.3.ast
@@ -0,0 +1,24 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.sql-skewness@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        FunctionCall test.int32@1[
+          LiteralExpr [STRING] [1]
+        ]
+        FunctionCall test.int32@1[
+          LiteralExpr [STRING] [2]
+        ]
+        FunctionCall test.int32@1[
+          LiteralExpr [STRING] [3]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int32_null/skewness_int32_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int32_null/skewness_int32_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int32_null/skewness_int32_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int32_null/skewness_int32_null.3.ast
new file mode 100644
index 0000000..d551bed
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int32_null/skewness_int32_null.3.ast
@@ -0,0 +1,23 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [skewness]
+    :
+    FunctionCall asterix.sql-skewness@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=int32Field
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int64/skewness_int64.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int64/skewness_int64.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int64/skewness_int64.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int64/skewness_int64.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int64/skewness_int64.3.ast
new file mode 100644
index 0000000..5bcb272
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int64/skewness_int64.3.ast
@@ -0,0 +1,24 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.sql-skewness@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        FunctionCall test.int64@1[
+          LiteralExpr [STRING] [1]
+        ]
+        FunctionCall test.int64@1[
+          LiteralExpr [STRING] [2]
+        ]
+        FunctionCall test.int64@1[
+          LiteralExpr [STRING] [3]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int64_null/skewness_int64_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int64_null/skewness_int64_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int64_null/skewness_int64_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int64_null/skewness_int64_null.3.ast
new file mode 100644
index 0000000..7f53f71
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int64_null/skewness_int64_null.3.ast
@@ -0,0 +1,23 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [skewness]
+    :
+    FunctionCall asterix.sql-skewness@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=int64Field
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int8/skewness_int8.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int8/skewness_int8.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int8/skewness_int8.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int8/skewness_int8.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int8/skewness_int8.3.ast
new file mode 100644
index 0000000..0dde87f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int8/skewness_int8.3.ast
@@ -0,0 +1,24 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.sql-skewness@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        FunctionCall test.int8@1[
+          LiteralExpr [STRING] [1]
+        ]
+        FunctionCall test.int8@1[
+          LiteralExpr [STRING] [2]
+        ]
+        FunctionCall test.int8@1[
+          LiteralExpr [STRING] [3]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int8_null/skewness_int8_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int8_null/skewness_int8_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int8_null/skewness_int8_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int8_null/skewness_int8_null.3.ast
new file mode 100644
index 0000000..fb9e831
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_int8_null/skewness_int8_null.3.ast
@@ -0,0 +1,23 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [skewness]
+    :
+    FunctionCall asterix.sql-skewness@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=int8Field
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_mixed/skewness_mixed.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_mixed/skewness_mixed.3.ast
new file mode 100644
index 0000000..d45db6d
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/skewness_mixed/skewness_mixed.3.ast
@@ -0,0 +1,22 @@
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.sql-skewness@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        FunctionCall null.float@1[
+          LiteralExpr [STRING] [2.0]
+        ]
+        LiteralExpr [STRING] [hello world]
+        LiteralExpr [LONG] [93847382783847382]
+        FunctionCall null.date@1[
+          LiteralExpr [STRING] [2013-01-01]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_double/stddev_double.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_double/stddev_double.3.ast
index a156d16..ab8468e 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_double/stddev_double.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_double/stddev_double.3.ast
@@ -1,11 +1,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.sql-stddev@1[
+      FunctionCall asterix.sql-stddev_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_double_null/stddev_double_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_double_null/stddev_double_null.3.ast
index 02ccab8..15687f0 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_double_null/stddev_double_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_double_null/stddev_double_null.3.ast
@@ -2,9 +2,9 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
-    FunctionCall asterix.sql-stddev@1[
+    FunctionCall asterix.sql-stddev_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_empty_01/stddev_empty_01.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_empty_01/stddev_empty_01.3.ast
index 51a67dc..1878d8c 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_empty_01/stddev_empty_01.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_empty_01/stddev_empty_01.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.sql-stddev@1[
+      FunctionCall asterix.sql-stddev_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_empty_02/stddev_empty_02.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_empty_02/stddev_empty_02.3.ast
index 1fcdc77..d560c87 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_empty_02/stddev_empty_02.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_empty_02/stddev_empty_02.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.sql-stddev@1[
+      FunctionCall asterix.sql-stddev_samp@1[
         (
           SELECT ELEMENT [
           FieldAccessor [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float/stddev_float.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float/stddev_float.3.ast
index 3b9af93..761af43 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float/stddev_float.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float/stddev_float.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.sql-stddev@1[
+      FunctionCall asterix.sql-stddev_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.3.ast
deleted file mode 100644
index af4b678..0000000
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.3.ast
+++ /dev/null
@@ -1,42 +0,0 @@
-DataverseUse test
-Query:
-RecordConstructor [
-  (
-    LiteralExpr [STRING] [stddev]
-    :
-    FunctionCall asterix.sql-stddev@1[
-      (
-        SELECT ELEMENT [
-        FieldAccessor [
-          Variable [ Name=$x ]
-          Field=floatField
-        ]
-        ]
-        FROM [          FunctionCall asterix.dataset@1[
-            LiteralExpr [STRING] [test.Numeric]
-          ]
-          AS Variable [ Name=$x ]
-        ]
-      )
-    ]
-  )
-  (
-    LiteralExpr [STRING] [stddev_pop]
-    :
-    FunctionCall asterix.sql-stddev_pop@1[
-      (
-        SELECT ELEMENT [
-        FieldAccessor [
-          Variable [ Name=$x ]
-          Field=floatField
-        ]
-        ]
-        FROM [          FunctionCall asterix.dataset@1[
-            LiteralExpr [STRING] [test.Numeric]
-          ]
-          AS Variable [ Name=$x ]
-        ]
-      )
-    ]
-  )
-]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_null.1.ast
similarity index 100%
rename from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_nu.1.ast
rename to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_null.3.ast
new file mode 100644
index 0000000..4e5380c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_float_null/stddev_float_null.3.ast
@@ -0,0 +1,42 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [stddev_samp]
+    :
+    FunctionCall asterix.sql-stddev_samp@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=floatField
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+  (
+    LiteralExpr [STRING] [stddev_pop]
+    :
+    FunctionCall asterix.sql-stddev_pop@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=floatField
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int16/stddev_int16.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int16/stddev_int16.3.ast
index a3ae382..6a49179 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int16/stddev_int16.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int16/stddev_int16.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.sql-stddev@1[
+      FunctionCall asterix.sql-stddev_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int16_null/stddev_int16_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int16_null/stddev_int16_null.3.ast
index abfdf357..5490833 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int16_null/stddev_int16_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int16_null/stddev_int16_null.3.ast
@@ -2,9 +2,9 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
-    FunctionCall asterix.sql-stddev@1[
+    FunctionCall asterix.sql-stddev_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int32/stddev_int32.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int32/stddev_int32.3.ast
index 475d383..6059d33 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int32/stddev_int32.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int32/stddev_int32.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.sql-stddev@1[
+      FunctionCall asterix.sql-stddev_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int32_null/stddev_int32_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int32_null/stddev_int32_null.3.ast
index ae92087..89e7c18 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int32_null/stddev_int32_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int32_null/stddev_int32_null.3.ast
@@ -2,9 +2,9 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
-    FunctionCall asterix.sql-stddev@1[
+    FunctionCall asterix.sql-stddev_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int64/stddev_int64.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int64/stddev_int64.3.ast
index aafffb8..1bf3e70 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int64/stddev_int64.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int64/stddev_int64.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.sql-stddev@1[
+      FunctionCall asterix.sql-stddev_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int64_null/stddev_int64_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int64_null/stddev_int64_null.3.ast
index 8726277..4568ffe 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int64_null/stddev_int64_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int64_null/stddev_int64_null.3.ast
@@ -2,9 +2,9 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
-    FunctionCall asterix.sql-stddev@1[
+    FunctionCall asterix.sql-stddev_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int8/stddev_int8.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int8/stddev_int8.3.ast
index 21b3171..e1bd8a4 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int8/stddev_int8.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int8/stddev_int8.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.sql-stddev@1[
+      FunctionCall asterix.sql-stddev_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int8_null/stddev_int8_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int8_null/stddev_int8_null.3.ast
index f2c9bef..d794390 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int8_null/stddev_int8_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_int8_null/stddev_int8_null.3.ast
@@ -2,9 +2,9 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
-    FunctionCall asterix.sql-stddev@1[
+    FunctionCall asterix.sql-stddev_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_mixed/stddev_mixed.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_mixed/stddev_mixed.3.ast
index 14781dd..e9f65c8 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_mixed/stddev_mixed.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/stddev_mixed/stddev_mixed.3.ast
@@ -1,6 +1,6 @@
 Query:
 SELECT ELEMENT [
-FunctionCall asterix.sql-stddev@1[
+FunctionCall asterix.sql-stddev_samp@1[
   (
     SELECT ELEMENT [
     Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_double/var_double.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_double/var_double.3.ast
index 9037555..656ce03 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_double/var_double.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_double/var_double.3.ast
@@ -1,11 +1,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.sql-var@1[
+      FunctionCall asterix.sql-var_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_double_null/var_double_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_double_null/var_double_null.3.ast
index 0060c07..a7c3964 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_double_null/var_double_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_double_null/var_double_null.3.ast
@@ -2,9 +2,9 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
-    FunctionCall asterix.sql-var@1[
+    FunctionCall asterix.sql-var_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_empty_01/var_empty_01.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_empty_01/var_empty_01.3.ast
index c724d18..7882880 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_empty_01/var_empty_01.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_empty_01/var_empty_01.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.sql-var@1[
+      FunctionCall asterix.sql-var_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_empty_02/var_empty_02.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_empty_02/var_empty_02.3.ast
index 1705103..0029156 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_empty_02/var_empty_02.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_empty_02/var_empty_02.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.sql-var@1[
+      FunctionCall asterix.sql-var_samp@1[
         (
           SELECT ELEMENT [
           FieldAccessor [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_float/var_float.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_float/var_float.3.ast
index 592907d..a534e0c 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_float/var_float.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_float/var_float.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.sql-var@1[
+      FunctionCall asterix.sql-var_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_float_null/var_float_nu.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_float_null/var_float_nu.3.ast
deleted file mode 100644
index 0587de5..0000000
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_float_null/var_float_nu.3.ast
+++ /dev/null
@@ -1,42 +0,0 @@
-DataverseUse test
-Query:
-RecordConstructor [
-  (
-    LiteralExpr [STRING] [var]
-    :
-    FunctionCall asterix.sql-var@1[
-      (
-        SELECT ELEMENT [
-        FieldAccessor [
-          Variable [ Name=$x ]
-          Field=floatField
-        ]
-        ]
-        FROM [          FunctionCall asterix.dataset@1[
-            LiteralExpr [STRING] [test.Numeric]
-          ]
-          AS Variable [ Name=$x ]
-        ]
-      )
-    ]
-  )
-  (
-    LiteralExpr [STRING] [var_pop]
-    :
-    FunctionCall asterix.sql-var_pop@1[
-      (
-        SELECT ELEMENT [
-        FieldAccessor [
-          Variable [ Name=$x ]
-          Field=floatField
-        ]
-        ]
-        FROM [          FunctionCall asterix.dataset@1[
-            LiteralExpr [STRING] [test.Numeric]
-          ]
-          AS Variable [ Name=$x ]
-        ]
-      )
-    ]
-  )
-]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_float_null/var_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_float_null/var_float_null.1.ast
similarity index 100%
rename from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_float_null/var_float_nu.1.ast
rename to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_float_null/var_float_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_float_null/var_float_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_float_null/var_float_null.3.ast
new file mode 100644
index 0000000..698bace
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_float_null/var_float_null.3.ast
@@ -0,0 +1,42 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [var_samp]
+    :
+    FunctionCall asterix.sql-var_samp@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=floatField
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+  (
+    LiteralExpr [STRING] [var_pop]
+    :
+    FunctionCall asterix.sql-var_pop@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=floatField
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int16/var_int16.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int16/var_int16.3.ast
index f741ad6..cecf5cc 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int16/var_int16.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int16/var_int16.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.sql-var@1[
+      FunctionCall asterix.sql-var_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int16_null/var_int16_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int16_null/var_int16_null.3.ast
index 1d41f05..633309f 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int16_null/var_int16_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int16_null/var_int16_null.3.ast
@@ -2,9 +2,9 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
-    FunctionCall asterix.sql-var@1[
+    FunctionCall asterix.sql-var_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int32/var_int32.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int32/var_int32.3.ast
index d7dd2a2..c38a181 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int32/var_int32.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int32/var_int32.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.sql-var@1[
+      FunctionCall asterix.sql-var_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int32_null/var_int32_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int32_null/var_int32_null.3.ast
index 8e87e8a..470f53f 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int32_null/var_int32_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int32_null/var_int32_null.3.ast
@@ -2,9 +2,9 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
-    FunctionCall asterix.sql-var@1[
+    FunctionCall asterix.sql-var_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int64/var_int64.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int64/var_int64.3.ast
index dd6556e..858716d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int64/var_int64.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int64/var_int64.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.sql-var@1[
+      FunctionCall asterix.sql-var_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int64_null/var_int64_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int64_null/var_int64_null.3.ast
index 86920ae..3c2b5e6 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int64_null/var_int64_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int64_null/var_int64_null.3.ast
@@ -2,9 +2,9 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
-    FunctionCall asterix.sql-var@1[
+    FunctionCall asterix.sql-var_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int8/var_int8.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int8/var_int8.3.ast
index 3a0c710..9d9db88 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int8/var_int8.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int8/var_int8.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.sql-var@1[
+      FunctionCall asterix.sql-var_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int8_null/var_int8_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int8_null/var_int8_null.3.ast
index 46434d3..4ee2da4 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int8_null/var_int8_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_int8_null/var_int8_null.3.ast
@@ -2,9 +2,9 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
-    FunctionCall asterix.sql-var@1[
+    FunctionCall asterix.sql-var_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_mixed/var_mixed.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_mixed/var_mixed.3.ast
index ce71370..4ce8e68 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_mixed/var_mixed.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/var_mixed/var_mixed.3.ast
@@ -1,6 +1,6 @@
 Query:
 SELECT ELEMENT [
-FunctionCall asterix.sql-var@1[
+FunctionCall asterix.sql-var_samp@1[
   (
     SELECT ELEMENT [
     Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/agg_null/agg_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/agg_null/agg_null.3.ast
index 001001e..86b51e6 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/agg_null/agg_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/agg_null/agg_null.3.ast
@@ -46,9 +46,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [stddev1]
+    LiteralExpr [STRING] [stddev_samp1]
     :
-    FunctionCall asterix.stddev@1[
+    FunctionCall asterix.stddev_samp@1[
       OrderedListConstructor [
         LiteralExpr [NULL]
       ]
@@ -64,9 +64,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [var1]
+    LiteralExpr [STRING] [var_samp1]
     :
-    FunctionCall asterix.var@1[
+    FunctionCall asterix.var_samp@1[
       OrderedListConstructor [
         LiteralExpr [NULL]
       ]
@@ -82,6 +82,24 @@
     ]
   )
   (
+    LiteralExpr [STRING] [skewness1]
+    :
+    FunctionCall asterix.skewness@1[
+      OrderedListConstructor [
+        LiteralExpr [NULL]
+      ]
+    ]
+  )
+  (
+    LiteralExpr [STRING] [kurtosis1]
+    :
+    FunctionCall asterix.kurtosis@1[
+      OrderedListConstructor [
+        LiteralExpr [NULL]
+      ]
+    ]
+  )
+  (
     LiteralExpr [STRING] [count2]
     :
     FunctionCall asterix.count@1[
@@ -132,9 +150,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [stddev2]
+    LiteralExpr [STRING] [stddev_samp2]
     :
-    FunctionCall asterix.stddev@1[
+    FunctionCall asterix.stddev_samp@1[
       UnorderedListConstructor [
         LiteralExpr [NULL]
         LiteralExpr [NULL]
@@ -152,9 +170,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [var2]
+    LiteralExpr [STRING] [var_samp2]
     :
-    FunctionCall asterix.var@1[
+    FunctionCall asterix.var_samp@1[
       UnorderedListConstructor [
         LiteralExpr [NULL]
         LiteralExpr [NULL]
@@ -171,4 +189,24 @@
       ]
     ]
   )
+  (
+    LiteralExpr [STRING] [skewness2]
+    :
+    FunctionCall asterix.skewness@1[
+      UnorderedListConstructor [
+        LiteralExpr [NULL]
+        LiteralExpr [NULL]
+      ]
+    ]
+  )
+  (
+    LiteralExpr [STRING] [kurtosis2]
+    :
+    FunctionCall asterix.kurtosis@1[
+      UnorderedListConstructor [
+        LiteralExpr [NULL]
+        LiteralExpr [NULL]
+      ]
+    ]
+  )
 ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/agg_null_rec/agg_null_rec.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/agg_null_rec/agg_null_rec.3.ast
index 3995d9f..e994793 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/agg_null_rec/agg_null_rec.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/agg_null_rec/agg_null_rec.3.ast
@@ -97,9 +97,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
-    FunctionCall asterix.stddev@1[
+    FunctionCall asterix.stddev_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
@@ -135,9 +135,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
-    FunctionCall asterix.var@1[
+    FunctionCall asterix.var_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
@@ -172,4 +172,42 @@
       )
     ]
   )
+  (
+    LiteralExpr [STRING] [skewness]
+    :
+    FunctionCall asterix.skewness@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$t ]
+          Field=valplus
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Test]
+          ]
+          AS Variable [ Name=$t ]
+        ]
+      )
+    ]
+  )
+  (
+    LiteralExpr [STRING] [kurtosis]
+    :
+    FunctionCall asterix.kurtosis@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$t ]
+          Field=valplus
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Test]
+          ]
+          AS Variable [ Name=$t ]
+        ]
+      )
+    ]
+  )
 ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/agg_null_rec_1/agg_null_rec_1.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/agg_null_rec_1/agg_null_rec_1.3.ast
index 87a6de0..d8c3de1 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/agg_null_rec_1/agg_null_rec_1.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/agg_null_rec_1/agg_null_rec_1.3.ast
@@ -122,9 +122,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
-    FunctionCall asterix.stddev@1[
+    FunctionCall asterix.stddev_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
@@ -174,9 +174,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
-    FunctionCall asterix.var@1[
+    FunctionCall asterix.var_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
@@ -225,4 +225,56 @@
       )
     ]
   )
+  (
+    LiteralExpr [STRING] [skewness]
+    :
+    FunctionCall asterix.skewness@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$i ]
+          Field=val
+        ]
+        ]
+        FROM [          (
+            SELECT ELEMENT [
+            Variable [ Name=$t ]
+            ]
+            FROM [              FunctionCall asterix.dataset@1[
+                LiteralExpr [STRING] [test.Test]
+              ]
+              AS Variable [ Name=$t ]
+            ]
+          )
+          AS Variable [ Name=$i ]
+        ]
+      )
+    ]
+  )
+  (
+    LiteralExpr [STRING] [kurtosis]
+    :
+    FunctionCall asterix.kurtosis@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$i ]
+          Field=val
+        ]
+        ]
+        FROM [          (
+            SELECT ELEMENT [
+            Variable [ Name=$t ]
+            ]
+            FROM [              FunctionCall asterix.dataset@1[
+                LiteralExpr [STRING] [test.Test]
+              ]
+              AS Variable [ Name=$t ]
+            ]
+          )
+          AS Variable [ Name=$i ]
+        ]
+      )
+    ]
+  )
 ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/agg_number/agg_number.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/agg_number/agg_number.3.ast
index 7df9903..21cab5a 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/agg_number/agg_number.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/agg_number/agg_number.3.ast
@@ -81,9 +81,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [stddev1]
+    LiteralExpr [STRING] [stddev_samp1]
     :
-    FunctionCall asterix.stddev@1[
+    FunctionCall asterix.stddev_samp@1[
       OrderedListConstructor [
         FunctionCall null.float@1[
           LiteralExpr [STRING] [2.0]
@@ -113,9 +113,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [var1]
+    LiteralExpr [STRING] [var_samp1]
     :
-    FunctionCall asterix.var@1[
+    FunctionCall asterix.var_samp@1[
       OrderedListConstructor [
         FunctionCall null.float@1[
           LiteralExpr [STRING] [2.0]
@@ -145,6 +145,38 @@
     ]
   )
   (
+    LiteralExpr [STRING] [skewness1]
+    :
+    FunctionCall asterix.skewness@1[
+      OrderedListConstructor [
+        FunctionCall null.float@1[
+          LiteralExpr [STRING] [2.0]
+        ]
+        FunctionCall null.double@1[
+          LiteralExpr [STRING] [3.0]
+        ]
+        LiteralExpr [LONG] [93847382783847382]
+        LiteralExpr [LONG] [1]
+      ]
+    ]
+  )
+  (
+    LiteralExpr [STRING] [kurtosis1]
+    :
+    FunctionCall asterix.kurtosis@1[
+      OrderedListConstructor [
+        FunctionCall null.float@1[
+          LiteralExpr [STRING] [2.0]
+        ]
+        FunctionCall null.double@1[
+          LiteralExpr [STRING] [3.0]
+        ]
+        LiteralExpr [LONG] [93847382783847382]
+        LiteralExpr [LONG] [1]
+      ]
+    ]
+  )
+  (
     LiteralExpr [STRING] [count2]
     :
     FunctionCall asterix.count@1[
@@ -225,9 +257,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [stddev2]
+    LiteralExpr [STRING] [stddev_samp2]
     :
-    FunctionCall asterix.stddev@1[
+    FunctionCall asterix.stddev_samp@1[
       OrderedListConstructor [
         FunctionCall null.float@1[
           LiteralExpr [STRING] [2.0]
@@ -257,9 +289,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [var2]
+    LiteralExpr [STRING] [var_samp2]
     :
-    FunctionCall asterix.var@1[
+    FunctionCall asterix.var_samp@1[
       OrderedListConstructor [
         FunctionCall null.float@1[
           LiteralExpr [STRING] [2.0]
@@ -288,4 +320,36 @@
       ]
     ]
   )
+  (
+    LiteralExpr [STRING] [skewness2]
+    :
+    FunctionCall asterix.skewness@1[
+      OrderedListConstructor [
+        FunctionCall null.float@1[
+          LiteralExpr [STRING] [2.0]
+        ]
+        FunctionCall null.double@1[
+          LiteralExpr [STRING] [3.0]
+        ]
+        LiteralExpr [LONG] [93847382783847382]
+        LiteralExpr [LONG] [1]
+      ]
+    ]
+  )
+  (
+    LiteralExpr [STRING] [kurtosis2]
+    :
+    FunctionCall asterix.kurtosis@1[
+      OrderedListConstructor [
+        FunctionCall null.float@1[
+          LiteralExpr [STRING] [2.0]
+        ]
+        FunctionCall null.double@1[
+          LiteralExpr [STRING] [3.0]
+        ]
+        LiteralExpr [LONG] [93847382783847382]
+        LiteralExpr [LONG] [1]
+      ]
+    ]
+  )
 ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/agg_number_rec/agg_number_rec.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/agg_number_rec/agg_number_rec.3.ast
index 3995d9f..e994793 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/agg_number_rec/agg_number_rec.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/agg_number_rec/agg_number_rec.3.ast
@@ -97,9 +97,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
-    FunctionCall asterix.stddev@1[
+    FunctionCall asterix.stddev_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
@@ -135,9 +135,9 @@
     ]
   )
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
-    FunctionCall asterix.var@1[
+    FunctionCall asterix.var_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
@@ -172,4 +172,42 @@
       )
     ]
   )
+  (
+    LiteralExpr [STRING] [skewness]
+    :
+    FunctionCall asterix.skewness@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$t ]
+          Field=valplus
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Test]
+          ]
+          AS Variable [ Name=$t ]
+        ]
+      )
+    ]
+  )
+  (
+    LiteralExpr [STRING] [kurtosis]
+    :
+    FunctionCall asterix.kurtosis@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$t ]
+          Field=valplus
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Test]
+          ]
+          AS Variable [ Name=$t ]
+        ]
+      )
+    ]
+  )
 ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_double/kurtosis_double.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_double/kurtosis_double.1.ast
new file mode 100644
index 0000000..086bc5f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_double/kurtosis_double.1.ast
@@ -0,0 +1,2 @@
+DataverseUse test
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_double/kurtosis_double.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_double/kurtosis_double.3.ast
new file mode 100644
index 0000000..417a2c2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_double/kurtosis_double.3.ast
@@ -0,0 +1,19 @@
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.kurtosis@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        LiteralExpr [DOUBLE] [1.0]
+        LiteralExpr [DOUBLE] [2.0]
+        FunctionCall null.double@1[
+          LiteralExpr [STRING] [3.0]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_double_null/kurtosis_double_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_double_null/kurtosis_double_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_double_null/kurtosis_double_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_double_null/kurtosis_double_null.3.ast
new file mode 100644
index 0000000..5d7e04c
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_double_null/kurtosis_double_null.3.ast
@@ -0,0 +1,23 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [kurtosis]
+    :
+    FunctionCall asterix.kurtosis@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=doubleField
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_empty_01/kurtosis_empty_01.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_empty_01/kurtosis_empty_01.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_empty_01/kurtosis_empty_01.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_empty_01/kurtosis_empty_01.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_empty_01/kurtosis_empty_01.3.ast
new file mode 100644
index 0000000..98602ed
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_empty_01/kurtosis_empty_01.3.ast
@@ -0,0 +1,24 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.kurtosis@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        LiteralExpr [LONG] [1]
+        LiteralExpr [LONG] [2]
+        LiteralExpr [LONG] [3]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+    Where
+      OperatorExpr [
+        Variable [ Name=$x ]
+        >
+        LiteralExpr [LONG] [10]
+      ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_empty_02/kurtosis_empty_02.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_empty_02/kurtosis_empty_02.1.ast
new file mode 100644
index 0000000..babcce4
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_empty_02/kurtosis_empty_02.1.ast
@@ -0,0 +1,8 @@
+DataverseUse test
+TypeDecl TestType [
+  closed RecordType {
+    id : integer,
+    val : double
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_empty_02/kurtosis_empty_02.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_empty_02/kurtosis_empty_02.3.ast
new file mode 100644
index 0000000..2447f01
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_empty_02/kurtosis_empty_02.3.ast
@@ -0,0 +1,19 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$x ]
+      Field=val
+    ]
+    ]
+    FROM [      FunctionCall asterix.dataset@1[
+        LiteralExpr [STRING] [test.Test]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_float/kurtosis_float.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_float/kurtosis_float.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_float/kurtosis_float.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_float/kurtosis_float.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_float/kurtosis_float.3.ast
new file mode 100644
index 0000000..163c050
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_float/kurtosis_float.3.ast
@@ -0,0 +1,24 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.kurtosis@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        FunctionCall test.float@1[
+          LiteralExpr [STRING] [1]
+        ]
+        FunctionCall test.float@1[
+          LiteralExpr [STRING] [2]
+        ]
+        FunctionCall test.float@1[
+          LiteralExpr [STRING] [3]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_float_null/kurtosis_float_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_float_null/kurtosis_float_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_float_null/kurtosis_float_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_float_null/kurtosis_float_null.3.ast
new file mode 100644
index 0000000..982ae95
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_float_null/kurtosis_float_null.3.ast
@@ -0,0 +1,23 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [kurtosis]
+    :
+    FunctionCall asterix.kurtosis@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=floatField
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int16/kurtosis_int16.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int16/kurtosis_int16.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int16/kurtosis_int16.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int16/kurtosis_int16.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int16/kurtosis_int16.3.ast
new file mode 100644
index 0000000..878c950
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int16/kurtosis_int16.3.ast
@@ -0,0 +1,24 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.kurtosis@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        FunctionCall test.int16@1[
+          LiteralExpr [STRING] [1]
+        ]
+        FunctionCall test.int16@1[
+          LiteralExpr [STRING] [2]
+        ]
+        FunctionCall test.int16@1[
+          LiteralExpr [STRING] [3]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int16_null/kurtosis_int16_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int16_null/kurtosis_int16_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int16_null/kurtosis_int16_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int16_null/kurtosis_int16_null.3.ast
new file mode 100644
index 0000000..c472279
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int16_null/kurtosis_int16_null.3.ast
@@ -0,0 +1,23 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [kurtosis]
+    :
+    FunctionCall asterix.kurtosis@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=int16Field
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int32/kurtosis_int32.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int32/kurtosis_int32.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int32/kurtosis_int32.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int32/kurtosis_int32.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int32/kurtosis_int32.3.ast
new file mode 100644
index 0000000..6c8b3fe
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int32/kurtosis_int32.3.ast
@@ -0,0 +1,18 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.kurtosis@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        LiteralExpr [LONG] [1]
+        LiteralExpr [LONG] [2]
+        LiteralExpr [LONG] [3]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int32_null/kurtosis_int32_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int32_null/kurtosis_int32_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int32_null/kurtosis_int32_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int32_null/kurtosis_int32_null.3.ast
new file mode 100644
index 0000000..b4b84dd
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int32_null/kurtosis_int32_null.3.ast
@@ -0,0 +1,23 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [kurtosis]
+    :
+    FunctionCall asterix.kurtosis@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=int32Field
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int64/kurtosis_int64.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int64/kurtosis_int64.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int64/kurtosis_int64.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int64/kurtosis_int64.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int64/kurtosis_int64.3.ast
new file mode 100644
index 0000000..cf519fc
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int64/kurtosis_int64.3.ast
@@ -0,0 +1,24 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.kurtosis@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        FunctionCall test.int64@1[
+          LiteralExpr [STRING] [1]
+        ]
+        FunctionCall test.int64@1[
+          LiteralExpr [STRING] [2]
+        ]
+        FunctionCall test.int64@1[
+          LiteralExpr [STRING] [3]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int64_null/kurtosis_int64_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int64_null/kurtosis_int64_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int64_null/kurtosis_int64_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int64_null/kurtosis_int64_null.3.ast
new file mode 100644
index 0000000..fad8053
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int64_null/kurtosis_int64_null.3.ast
@@ -0,0 +1,23 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [kurtosis]
+    :
+    FunctionCall asterix.kurtosis@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=int64Field
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int8/kurtosis_int8.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int8/kurtosis_int8.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int8/kurtosis_int8.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int8/kurtosis_int8.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int8/kurtosis_int8.3.ast
new file mode 100644
index 0000000..1d36b03
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int8/kurtosis_int8.3.ast
@@ -0,0 +1,24 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.kurtosis@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        FunctionCall test.int8@1[
+          LiteralExpr [STRING] [1]
+        ]
+        FunctionCall test.int8@1[
+          LiteralExpr [STRING] [2]
+        ]
+        FunctionCall test.int8@1[
+          LiteralExpr [STRING] [3]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int8_null/kurtosis_int8_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int8_null/kurtosis_int8_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int8_null/kurtosis_int8_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int8_null/kurtosis_int8_null.3.ast
new file mode 100644
index 0000000..ad20582
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_int8_null/kurtosis_int8_null.3.ast
@@ -0,0 +1,23 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [kurtosis]
+    :
+    FunctionCall asterix.kurtosis@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=int8Field
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_mixed/kurtosis_mixed.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_mixed/kurtosis_mixed.3.ast
new file mode 100644
index 0000000..4048b74
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/kurtosis_mixed/kurtosis_mixed.3.ast
@@ -0,0 +1,22 @@
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.kurtosis@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        FunctionCall null.float@1[
+          LiteralExpr [STRING] [2.0]
+        ]
+        LiteralExpr [STRING] [hello world]
+        LiteralExpr [LONG] [93847382783847382]
+        FunctionCall null.date@1[
+          LiteralExpr [STRING] [2013-01-01]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_kurtosis/scalar_kurtosis.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_kurtosis/scalar_kurtosis.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_kurtosis/scalar_kurtosis.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_kurtosis/scalar_kurtosis.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_kurtosis/scalar_kurtosis.3.ast
new file mode 100644
index 0000000..8d26180
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_kurtosis/scalar_kurtosis.3.ast
@@ -0,0 +1,105 @@
+DataverseUse test
+Query:
+Let Variable [ Name=$i8 ]
+  :=
+  FunctionCall asterix.kurtosis@1[
+    OrderedListConstructor [
+      FunctionCall test.int8@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int8@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int8@1[
+        LiteralExpr [STRING] [3]
+      ]
+    ]
+  ]
+Let Variable [ Name=$i16 ]
+  :=
+  FunctionCall asterix.kurtosis@1[
+    OrderedListConstructor [
+      FunctionCall test.int16@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int16@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int16@1[
+        LiteralExpr [STRING] [3]
+      ]
+    ]
+  ]
+Let Variable [ Name=$i32 ]
+  :=
+  FunctionCall asterix.kurtosis@1[
+    OrderedListConstructor [
+      FunctionCall test.int32@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int32@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int32@1[
+        LiteralExpr [STRING] [3]
+      ]
+    ]
+  ]
+Let Variable [ Name=$i64 ]
+  :=
+  FunctionCall asterix.kurtosis@1[
+    OrderedListConstructor [
+      FunctionCall test.int64@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int64@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int64@1[
+        LiteralExpr [STRING] [3]
+      ]
+    ]
+  ]
+Let Variable [ Name=$f ]
+  :=
+  FunctionCall asterix.kurtosis@1[
+    OrderedListConstructor [
+      FunctionCall test.float@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.float@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.float@1[
+        LiteralExpr [STRING] [3]
+      ]
+    ]
+  ]
+Let Variable [ Name=$d ]
+  :=
+  FunctionCall asterix.kurtosis@1[
+    OrderedListConstructor [
+      FunctionCall test.double@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.double@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.double@1[
+        LiteralExpr [STRING] [3]
+      ]
+    ]
+  ]
+SELECT ELEMENT [
+Variable [ Name=$i ]
+]
+FROM [  OrderedListConstructor [
+    Variable [ Name=$i8 ]
+    Variable [ Name=$i16 ]
+    Variable [ Name=$i32 ]
+    Variable [ Name=$i64 ]
+    Variable [ Name=$f ]
+    Variable [ Name=$d ]
+  ]
+  AS Variable [ Name=$i ]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_kurtosis_empty/scalar_kurtosis_empty.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_kurtosis_empty/scalar_kurtosis_empty.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_kurtosis_empty/scalar_kurtosis_empty.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_kurtosis_empty/scalar_kurtosis_empty.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_kurtosis_empty/scalar_kurtosis_empty.3.ast
new file mode 100644
index 0000000..163f286
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_kurtosis_empty/scalar_kurtosis_empty.3.ast
@@ -0,0 +1,7 @@
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.kurtosis@1[
+  OrderedListConstructor [
+  ]
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_kurtosis_null/scalar_kurtosis_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_kurtosis_null/scalar_kurtosis_null.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_kurtosis_null/scalar_kurtosis_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_kurtosis_null/scalar_kurtosis_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_kurtosis_null/scalar_kurtosis_null.3.ast
new file mode 100644
index 0000000..bbb93cc
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_kurtosis_null/scalar_kurtosis_null.3.ast
@@ -0,0 +1,111 @@
+DataverseUse test
+Query:
+Let Variable [ Name=$i8 ]
+  :=
+  FunctionCall asterix.kurtosis@1[
+    OrderedListConstructor [
+      FunctionCall test.int8@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int8@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int8@1[
+        LiteralExpr [STRING] [3]
+      ]
+      LiteralExpr [NULL]
+    ]
+  ]
+Let Variable [ Name=$i16 ]
+  :=
+  FunctionCall asterix.kurtosis@1[
+    OrderedListConstructor [
+      FunctionCall test.int16@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int16@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int16@1[
+        LiteralExpr [STRING] [3]
+      ]
+      LiteralExpr [NULL]
+    ]
+  ]
+Let Variable [ Name=$i32 ]
+  :=
+  FunctionCall asterix.kurtosis@1[
+    OrderedListConstructor [
+      FunctionCall test.int32@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int32@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int32@1[
+        LiteralExpr [STRING] [3]
+      ]
+      LiteralExpr [NULL]
+    ]
+  ]
+Let Variable [ Name=$i64 ]
+  :=
+  FunctionCall asterix.kurtosis@1[
+    OrderedListConstructor [
+      FunctionCall test.int64@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int64@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int64@1[
+        LiteralExpr [STRING] [3]
+      ]
+      LiteralExpr [NULL]
+    ]
+  ]
+Let Variable [ Name=$f ]
+  :=
+  FunctionCall asterix.kurtosis@1[
+    OrderedListConstructor [
+      FunctionCall test.float@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.float@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.float@1[
+        LiteralExpr [STRING] [3]
+      ]
+      LiteralExpr [NULL]
+    ]
+  ]
+Let Variable [ Name=$d ]
+  :=
+  FunctionCall asterix.kurtosis@1[
+    OrderedListConstructor [
+      FunctionCall test.double@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.double@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.double@1[
+        LiteralExpr [STRING] [3]
+      ]
+      LiteralExpr [NULL]
+    ]
+  ]
+SELECT ELEMENT [
+Variable [ Name=$i ]
+]
+FROM [  OrderedListConstructor [
+    Variable [ Name=$i8 ]
+    Variable [ Name=$i16 ]
+    Variable [ Name=$i32 ]
+    Variable [ Name=$i64 ]
+    Variable [ Name=$f ]
+    Variable [ Name=$d ]
+  ]
+  AS Variable [ Name=$i ]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_skewness/scalar_skewness.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_skewness/scalar_skewness.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_skewness/scalar_skewness.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_skewness/scalar_skewness.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_skewness/scalar_skewness.3.ast
new file mode 100644
index 0000000..dc5525d
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_skewness/scalar_skewness.3.ast
@@ -0,0 +1,105 @@
+DataverseUse test
+Query:
+Let Variable [ Name=$i8 ]
+  :=
+  FunctionCall asterix.skewness@1[
+    OrderedListConstructor [
+      FunctionCall test.int8@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int8@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int8@1[
+        LiteralExpr [STRING] [3]
+      ]
+    ]
+  ]
+Let Variable [ Name=$i16 ]
+  :=
+  FunctionCall asterix.skewness@1[
+    OrderedListConstructor [
+      FunctionCall test.int16@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int16@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int16@1[
+        LiteralExpr [STRING] [3]
+      ]
+    ]
+  ]
+Let Variable [ Name=$i32 ]
+  :=
+  FunctionCall asterix.skewness@1[
+    OrderedListConstructor [
+      FunctionCall test.int32@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int32@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int32@1[
+        LiteralExpr [STRING] [3]
+      ]
+    ]
+  ]
+Let Variable [ Name=$i64 ]
+  :=
+  FunctionCall asterix.skewness@1[
+    OrderedListConstructor [
+      FunctionCall test.int64@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int64@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int64@1[
+        LiteralExpr [STRING] [3]
+      ]
+    ]
+  ]
+Let Variable [ Name=$f ]
+  :=
+  FunctionCall asterix.skewness@1[
+    OrderedListConstructor [
+      FunctionCall test.float@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.float@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.float@1[
+        LiteralExpr [STRING] [3]
+      ]
+    ]
+  ]
+Let Variable [ Name=$d ]
+  :=
+  FunctionCall asterix.skewness@1[
+    OrderedListConstructor [
+      FunctionCall test.double@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.double@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.double@1[
+        LiteralExpr [STRING] [3]
+      ]
+    ]
+  ]
+SELECT ELEMENT [
+Variable [ Name=$i ]
+]
+FROM [  OrderedListConstructor [
+    Variable [ Name=$i8 ]
+    Variable [ Name=$i16 ]
+    Variable [ Name=$i32 ]
+    Variable [ Name=$i64 ]
+    Variable [ Name=$f ]
+    Variable [ Name=$d ]
+  ]
+  AS Variable [ Name=$i ]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_skewness_empty/scalar_skewness_empty.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_skewness_empty/scalar_skewness_empty.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_skewness_empty/scalar_skewness_empty.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_skewness_empty/scalar_skewness_empty.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_skewness_empty/scalar_skewness_empty.3.ast
new file mode 100644
index 0000000..45f7041
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_skewness_empty/scalar_skewness_empty.3.ast
@@ -0,0 +1,7 @@
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.skewness@1[
+  OrderedListConstructor [
+  ]
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_skewness_null/scalar_skewness_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_skewness_null/scalar_skewness_null.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_skewness_null/scalar_skewness_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_skewness_null/scalar_skewness_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_skewness_null/scalar_skewness_null.3.ast
new file mode 100644
index 0000000..685fc80
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_skewness_null/scalar_skewness_null.3.ast
@@ -0,0 +1,111 @@
+DataverseUse test
+Query:
+Let Variable [ Name=$i8 ]
+  :=
+  FunctionCall asterix.skewness@1[
+    OrderedListConstructor [
+      FunctionCall test.int8@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int8@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int8@1[
+        LiteralExpr [STRING] [3]
+      ]
+      LiteralExpr [NULL]
+    ]
+  ]
+Let Variable [ Name=$i16 ]
+  :=
+  FunctionCall asterix.skewness@1[
+    OrderedListConstructor [
+      FunctionCall test.int16@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int16@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int16@1[
+        LiteralExpr [STRING] [3]
+      ]
+      LiteralExpr [NULL]
+    ]
+  ]
+Let Variable [ Name=$i32 ]
+  :=
+  FunctionCall asterix.skewness@1[
+    OrderedListConstructor [
+      FunctionCall test.int32@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int32@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int32@1[
+        LiteralExpr [STRING] [3]
+      ]
+      LiteralExpr [NULL]
+    ]
+  ]
+Let Variable [ Name=$i64 ]
+  :=
+  FunctionCall asterix.skewness@1[
+    OrderedListConstructor [
+      FunctionCall test.int64@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.int64@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.int64@1[
+        LiteralExpr [STRING] [3]
+      ]
+      LiteralExpr [NULL]
+    ]
+  ]
+Let Variable [ Name=$f ]
+  :=
+  FunctionCall asterix.skewness@1[
+    OrderedListConstructor [
+      FunctionCall test.float@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.float@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.float@1[
+        LiteralExpr [STRING] [3]
+      ]
+      LiteralExpr [NULL]
+    ]
+  ]
+Let Variable [ Name=$d ]
+  :=
+  FunctionCall asterix.skewness@1[
+    OrderedListConstructor [
+      FunctionCall test.double@1[
+        LiteralExpr [STRING] [1]
+      ]
+      FunctionCall test.double@1[
+        LiteralExpr [STRING] [2]
+      ]
+      FunctionCall test.double@1[
+        LiteralExpr [STRING] [3]
+      ]
+      LiteralExpr [NULL]
+    ]
+  ]
+SELECT ELEMENT [
+Variable [ Name=$i ]
+]
+FROM [  OrderedListConstructor [
+    Variable [ Name=$i8 ]
+    Variable [ Name=$i16 ]
+    Variable [ Name=$i32 ]
+    Variable [ Name=$i64 ]
+    Variable [ Name=$f ]
+    Variable [ Name=$d ]
+  ]
+  AS Variable [ Name=$i ]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_stddev/scalar_stddev.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_stddev/scalar_stddev.3.ast
index 4606161..f80e1f9 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_stddev/scalar_stddev.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_stddev/scalar_stddev.3.ast
@@ -2,12 +2,12 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
     (
       Let Variable [ Name=$i8 ]
         :=
-        FunctionCall asterix.stddev@1[
+        FunctionCall asterix.stddev_samp@1[
           OrderedListConstructor [
             FunctionCall test.int8@1[
               LiteralExpr [STRING] [1]
@@ -22,7 +22,7 @@
         ]
       Let Variable [ Name=$i16 ]
         :=
-        FunctionCall asterix.stddev@1[
+        FunctionCall asterix.stddev_samp@1[
           OrderedListConstructor [
             FunctionCall test.int16@1[
               LiteralExpr [STRING] [1]
@@ -37,7 +37,7 @@
         ]
       Let Variable [ Name=$i32 ]
         :=
-        FunctionCall asterix.stddev@1[
+        FunctionCall asterix.stddev_samp@1[
           OrderedListConstructor [
             FunctionCall test.int32@1[
               LiteralExpr [STRING] [1]
@@ -52,7 +52,7 @@
         ]
       Let Variable [ Name=$i64 ]
         :=
-        FunctionCall asterix.stddev@1[
+        FunctionCall asterix.stddev_samp@1[
           OrderedListConstructor [
             FunctionCall test.int64@1[
               LiteralExpr [STRING] [1]
@@ -67,7 +67,7 @@
         ]
       Let Variable [ Name=$f ]
         :=
-        FunctionCall asterix.stddev@1[
+        FunctionCall asterix.stddev_samp@1[
           OrderedListConstructor [
             FunctionCall test.float@1[
               LiteralExpr [STRING] [1]
@@ -82,7 +82,7 @@
         ]
       Let Variable [ Name=$d ]
         :=
-        FunctionCall asterix.stddev@1[
+        FunctionCall asterix.stddev_samp@1[
           OrderedListConstructor [
             FunctionCall test.double@1[
               LiteralExpr [STRING] [1]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_stddev_empty/scalar_stddev_empty.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_stddev_empty/scalar_stddev_empty.3.ast
index cb2d59f..158863d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_stddev_empty/scalar_stddev_empty.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_stddev_empty/scalar_stddev_empty.3.ast
@@ -1,11 +1,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.stddev@1[
+      FunctionCall asterix.stddev_samp@1[
         OrderedListConstructor [
         ]
       ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_stddev_null/scalar_stddev_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_stddev_null/scalar_stddev_null.3.ast
index a155c95..a3e4c95 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_stddev_null/scalar_stddev_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_stddev_null/scalar_stddev_null.3.ast
@@ -2,12 +2,12 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
     (
       Let Variable [ Name=$i8 ]
         :=
-        FunctionCall asterix.stddev@1[
+        FunctionCall asterix.stddev_samp@1[
           OrderedListConstructor [
             FunctionCall test.int8@1[
               LiteralExpr [STRING] [1]
@@ -23,7 +23,7 @@
         ]
       Let Variable [ Name=$i16 ]
         :=
-        FunctionCall asterix.stddev@1[
+        FunctionCall asterix.stddev_samp@1[
           OrderedListConstructor [
             FunctionCall test.int16@1[
               LiteralExpr [STRING] [1]
@@ -39,7 +39,7 @@
         ]
       Let Variable [ Name=$i32 ]
         :=
-        FunctionCall asterix.stddev@1[
+        FunctionCall asterix.stddev_samp@1[
           OrderedListConstructor [
             FunctionCall test.int32@1[
               LiteralExpr [STRING] [1]
@@ -55,7 +55,7 @@
         ]
       Let Variable [ Name=$i64 ]
         :=
-        FunctionCall asterix.stddev@1[
+        FunctionCall asterix.stddev_samp@1[
           OrderedListConstructor [
             FunctionCall test.int64@1[
               LiteralExpr [STRING] [1]
@@ -71,7 +71,7 @@
         ]
       Let Variable [ Name=$f ]
         :=
-        FunctionCall asterix.stddev@1[
+        FunctionCall asterix.stddev_samp@1[
           OrderedListConstructor [
             FunctionCall test.float@1[
               LiteralExpr [STRING] [1]
@@ -87,7 +87,7 @@
         ]
       Let Variable [ Name=$d ]
         :=
-        FunctionCall asterix.stddev@1[
+        FunctionCall asterix.stddev_samp@1[
           OrderedListConstructor [
             FunctionCall test.double@1[
               LiteralExpr [STRING] [1]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_var/scalar_var.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_var/scalar_var.3.ast
index 0fbda2c..8d75e8d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_var/scalar_var.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_var/scalar_var.3.ast
@@ -2,12 +2,12 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
     (
       Let Variable [ Name=$i8 ]
         :=
-        FunctionCall asterix.var@1[
+        FunctionCall asterix.var_samp@1[
           OrderedListConstructor [
             FunctionCall test.int8@1[
               LiteralExpr [STRING] [1]
@@ -22,7 +22,7 @@
         ]
       Let Variable [ Name=$i16 ]
         :=
-        FunctionCall asterix.var@1[
+        FunctionCall asterix.var_samp@1[
           OrderedListConstructor [
             FunctionCall test.int16@1[
               LiteralExpr [STRING] [1]
@@ -37,7 +37,7 @@
         ]
       Let Variable [ Name=$i32 ]
         :=
-        FunctionCall asterix.var@1[
+        FunctionCall asterix.var_samp@1[
           OrderedListConstructor [
             FunctionCall test.int32@1[
               LiteralExpr [STRING] [1]
@@ -52,7 +52,7 @@
         ]
       Let Variable [ Name=$i64 ]
         :=
-        FunctionCall asterix.var@1[
+        FunctionCall asterix.var_samp@1[
           OrderedListConstructor [
             FunctionCall test.int64@1[
               LiteralExpr [STRING] [1]
@@ -67,7 +67,7 @@
         ]
       Let Variable [ Name=$f ]
         :=
-        FunctionCall asterix.var@1[
+        FunctionCall asterix.var_samp@1[
           OrderedListConstructor [
             FunctionCall test.float@1[
               LiteralExpr [STRING] [1]
@@ -82,7 +82,7 @@
         ]
       Let Variable [ Name=$d ]
         :=
-        FunctionCall asterix.var@1[
+        FunctionCall asterix.var_samp@1[
           OrderedListConstructor [
             FunctionCall test.double@1[
               LiteralExpr [STRING] [1]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_var_empty/scalar_var_empty.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_var_empty/scalar_var_empty.3.ast
index 7186fb5..2df85ec 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_var_empty/scalar_var_empty.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_var_empty/scalar_var_empty.3.ast
@@ -1,11 +1,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.var@1[
+      FunctionCall asterix.var_samp@1[
         OrderedListConstructor [
         ]
       ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_var_null/scalar_var_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_var_null/scalar_var_null.3.ast
index 2ade7e0..feeae0a 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_var_null/scalar_var_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/scalar_var_null/scalar_var_null.3.ast
@@ -2,12 +2,12 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
     (
       Let Variable [ Name=$i8 ]
         :=
-        FunctionCall asterix.var@1[
+        FunctionCall asterix.var_samp@1[
           OrderedListConstructor [
             FunctionCall test.int8@1[
               LiteralExpr [STRING] [1]
@@ -23,7 +23,7 @@
         ]
       Let Variable [ Name=$i16 ]
         :=
-        FunctionCall asterix.var@1[
+        FunctionCall asterix.var_samp@1[
           OrderedListConstructor [
             FunctionCall test.int16@1[
               LiteralExpr [STRING] [1]
@@ -39,7 +39,7 @@
         ]
       Let Variable [ Name=$i32 ]
         :=
-        FunctionCall asterix.var@1[
+        FunctionCall asterix.var_samp@1[
           OrderedListConstructor [
             FunctionCall test.int32@1[
               LiteralExpr [STRING] [1]
@@ -55,7 +55,7 @@
         ]
       Let Variable [ Name=$i64 ]
         :=
-        FunctionCall asterix.var@1[
+        FunctionCall asterix.var_samp@1[
           OrderedListConstructor [
             FunctionCall test.int64@1[
               LiteralExpr [STRING] [1]
@@ -71,7 +71,7 @@
         ]
       Let Variable [ Name=$f ]
         :=
-        FunctionCall asterix.var@1[
+        FunctionCall asterix.var_samp@1[
           OrderedListConstructor [
             FunctionCall test.float@1[
               LiteralExpr [STRING] [1]
@@ -87,7 +87,7 @@
         ]
       Let Variable [ Name=$d ]
         :=
-        FunctionCall asterix.var@1[
+        FunctionCall asterix.var_samp@1[
           OrderedListConstructor [
             FunctionCall test.double@1[
               LiteralExpr [STRING] [1]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_double/serial_kurtosis_double.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_double/serial_kurtosis_double.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_double/serial_kurtosis_double.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_double/serial_kurtosis_double.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_double/serial_kurtosis_double.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_double/serial_kurtosis_double.3.ast
new file mode 100644
index 0000000..ea239a0
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_double/serial_kurtosis_double.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    val:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [val]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_double_null/serial_kurtosis_double_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_double_null/serial_kurtosis_double_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_double_null/serial_kurtosis_double_null.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_double_null/serial_kurtosis_double_null.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_double_null/serial_kurtosis_double_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_double_null/serial_kurtosis_double_null.3.ast
new file mode 100644
index 0000000..20551a4
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_double_null/serial_kurtosis_double_null.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    valplus:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [valplus]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_empty/serial_kurtosis_empty.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_empty/serial_kurtosis_empty.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_empty/serial_kurtosis_empty.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_empty/serial_kurtosis_empty.3.ast
new file mode 100644
index 0000000..ea239a0
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_empty/serial_kurtosis_empty.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    val:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [val]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_float/serial_kurtosis_float.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_float/serial_kurtosis_float.1.ast
new file mode 100644
index 0000000..9af248f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_float/serial_kurtosis_float.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : float
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_float/serial_kurtosis_float.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_float/serial_kurtosis_float.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_float/serial_kurtosis_float.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_float/serial_kurtosis_float.3.ast
new file mode 100644
index 0000000..ea239a0
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_float/serial_kurtosis_float.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    val:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [val]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_float_null/serial_kurtosis_float_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_float_null/serial_kurtosis_float_null.1.ast
new file mode 100644
index 0000000..9af248f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_float_null/serial_kurtosis_float_null.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : float
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_float_null/serial_kurtosis_float_null.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_float_null/serial_kurtosis_float_null.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_float_null/serial_kurtosis_float_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_float_null/serial_kurtosis_float_null.3.ast
new file mode 100644
index 0000000..20551a4
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_float_null/serial_kurtosis_float_null.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    valplus:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [valplus]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int16/serial_kurtosis_int16.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int16/serial_kurtosis_int16.1.ast
new file mode 100644
index 0000000..16d25a8
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int16/serial_kurtosis_int16.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : smallint
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int16/serial_kurtosis_int16.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int16/serial_kurtosis_int16.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int16/serial_kurtosis_int16.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int16/serial_kurtosis_int16.3.ast
new file mode 100644
index 0000000..ea239a0
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int16/serial_kurtosis_int16.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    val:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [val]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int16_null/serial_kurtosis_int16_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int16_null/serial_kurtosis_int16_null.1.ast
new file mode 100644
index 0000000..16d25a8
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int16_null/serial_kurtosis_int16_null.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : smallint
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int16_null/serial_kurtosis_int16_null.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int16_null/serial_kurtosis_int16_null.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int16_null/serial_kurtosis_int16_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int16_null/serial_kurtosis_int16_null.3.ast
new file mode 100644
index 0000000..20551a4
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int16_null/serial_kurtosis_int16_null.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    valplus:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [valplus]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int32/serial_kurtosis_int32.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int32/serial_kurtosis_int32.1.ast
new file mode 100644
index 0000000..6eaf31a
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int32/serial_kurtosis_int32.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : integer
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int32/serial_kurtosis_int32.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int32/serial_kurtosis_int32.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int32/serial_kurtosis_int32.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int32/serial_kurtosis_int32.3.ast
new file mode 100644
index 0000000..ea239a0
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int32/serial_kurtosis_int32.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    val:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [val]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int32_null/serial_kurtosis_int32_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int32_null/serial_kurtosis_int32_null.1.ast
new file mode 100644
index 0000000..6eaf31a
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int32_null/serial_kurtosis_int32_null.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : integer
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int32_null/serial_kurtosis_int32_null.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int32_null/serial_kurtosis_int32_null.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int32_null/serial_kurtosis_int32_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int32_null/serial_kurtosis_int32_null.3.ast
new file mode 100644
index 0000000..20551a4
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int32_null/serial_kurtosis_int32_null.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    valplus:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [valplus]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int64/serial_kurtosis_int64.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int64/serial_kurtosis_int64.1.ast
new file mode 100644
index 0000000..7911712
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int64/serial_kurtosis_int64.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : bigint
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int64/serial_kurtosis_int64.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int64/serial_kurtosis_int64.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int64/serial_kurtosis_int64.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int64/serial_kurtosis_int64.3.ast
new file mode 100644
index 0000000..ea239a0
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int64/serial_kurtosis_int64.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    val:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [val]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int64_null/serial_kurtosis_int64_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int64_null/serial_kurtosis_int64_null.1.ast
new file mode 100644
index 0000000..7911712
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int64_null/serial_kurtosis_int64_null.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : bigint
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int64_null/serial_kurtosis_int64_null.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int64_null/serial_kurtosis_int64_null.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int64_null/serial_kurtosis_int64_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int64_null/serial_kurtosis_int64_null.3.ast
new file mode 100644
index 0000000..20551a4
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int64_null/serial_kurtosis_int64_null.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    valplus:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [valplus]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int8/serial_kurtosis_int8.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int8/serial_kurtosis_int8.1.ast
new file mode 100644
index 0000000..44c9cde
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int8/serial_kurtosis_int8.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : tinyint
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int8/serial_kurtosis_int8.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int8/serial_kurtosis_int8.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int8/serial_kurtosis_int8.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int8/serial_kurtosis_int8.3.ast
new file mode 100644
index 0000000..ea239a0
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int8/serial_kurtosis_int8.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    val:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [val]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int8_null/serial_kurtosis_int8_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int8_null/serial_kurtosis_int8_null.1.ast
new file mode 100644
index 0000000..44c9cde
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int8_null/serial_kurtosis_int8_null.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : tinyint
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int8_null/serial_kurtosis_int8_null.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int8_null/serial_kurtosis_int8_null.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int8_null/serial_kurtosis_int8_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int8_null/serial_kurtosis_int8_null.3.ast
new file mode 100644
index 0000000..20551a4
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_int8_null/serial_kurtosis_int8_null.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    valplus:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [valplus]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_mixed/serial_kurtosis_mixed.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_mixed/serial_kurtosis_mixed.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_mixed/serial_kurtosis_mixed.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_mixed/serial_kurtosis_mixed.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_mixed/serial_kurtosis_mixed.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_mixed/serial_kurtosis_mixed.3.ast
new file mode 100644
index 0000000..20551a4
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_kurtosis_mixed/serial_kurtosis_mixed.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.kurtosis@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+kurtosis
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    valplus:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [valplus]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_double/serial_skewness_double.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_double/serial_skewness_double.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_double/serial_skewness_double.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_double/serial_skewness_double.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_double/serial_skewness_double.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_double/serial_skewness_double.3.ast
new file mode 100644
index 0000000..04c73ef
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_double/serial_skewness_double.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    val:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [val]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_double_null/serial_skewness_double_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_double_null/serial_skewness_double_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_double_null/serial_skewness_double_null.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_double_null/serial_skewness_double_null.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_double_null/serial_skewness_double_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_double_null/serial_skewness_double_null.3.ast
new file mode 100644
index 0000000..925de9f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_double_null/serial_skewness_double_null.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    valplus:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [valplus]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_empty/serial_skewness_empty.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_empty/serial_skewness_empty.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_empty/serial_skewness_empty.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_empty/serial_skewness_empty.3.ast
new file mode 100644
index 0000000..04c73ef
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_empty/serial_skewness_empty.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    val:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [val]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_float/serial_skewness_float.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_float/serial_skewness_float.1.ast
new file mode 100644
index 0000000..9af248f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_float/serial_skewness_float.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : float
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_float/serial_skewness_float.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_float/serial_skewness_float.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_float/serial_skewness_float.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_float/serial_skewness_float.3.ast
new file mode 100644
index 0000000..04c73ef
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_float/serial_skewness_float.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    val:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [val]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_float_null/serial_skewness_float_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_float_null/serial_skewness_float_null.1.ast
new file mode 100644
index 0000000..9af248f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_float_null/serial_skewness_float_null.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : float
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_float_null/serial_skewness_float_null.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_float_null/serial_skewness_float_null.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_float_null/serial_skewness_float_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_float_null/serial_skewness_float_null.3.ast
new file mode 100644
index 0000000..925de9f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_float_null/serial_skewness_float_null.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    valplus:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [valplus]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int16/serial_skewness_int16.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int16/serial_skewness_int16.1.ast
new file mode 100644
index 0000000..16d25a8
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int16/serial_skewness_int16.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : smallint
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int16/serial_skewness_int16.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int16/serial_skewness_int16.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int16/serial_skewness_int16.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int16/serial_skewness_int16.3.ast
new file mode 100644
index 0000000..04c73ef
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int16/serial_skewness_int16.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    val:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [val]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int16_null/serial_skewness_int16_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int16_null/serial_skewness_int16_null.1.ast
new file mode 100644
index 0000000..16d25a8
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int16_null/serial_skewness_int16_null.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : smallint
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int16_null/serial_skewness_int16_null.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int16_null/serial_skewness_int16_null.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int16_null/serial_skewness_int16_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int16_null/serial_skewness_int16_null.3.ast
new file mode 100644
index 0000000..925de9f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int16_null/serial_skewness_int16_null.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    valplus:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [valplus]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int32/serial_skewness_int32.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int32/serial_skewness_int32.1.ast
new file mode 100644
index 0000000..6eaf31a
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int32/serial_skewness_int32.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : integer
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int32/serial_skewness_int32.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int32/serial_skewness_int32.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int32/serial_skewness_int32.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int32/serial_skewness_int32.3.ast
new file mode 100644
index 0000000..04c73ef
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int32/serial_skewness_int32.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    val:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [val]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int32_null/serial_skewness_int32_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int32_null/serial_skewness_int32_null.1.ast
new file mode 100644
index 0000000..6eaf31a
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int32_null/serial_skewness_int32_null.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : integer
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int32_null/serial_skewness_int32_null.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int32_null/serial_skewness_int32_null.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int32_null/serial_skewness_int32_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int32_null/serial_skewness_int32_null.3.ast
new file mode 100644
index 0000000..925de9f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int32_null/serial_skewness_int32_null.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    valplus:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [valplus]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int64/serial_skewness_int64.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int64/serial_skewness_int64.1.ast
new file mode 100644
index 0000000..7911712
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int64/serial_skewness_int64.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : bigint
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int64/serial_skewness_int64.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int64/serial_skewness_int64.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int64/serial_skewness_int64.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int64/serial_skewness_int64.3.ast
new file mode 100644
index 0000000..04c73ef
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int64/serial_skewness_int64.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    val:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [val]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int64_null/serial_skewness_int64_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int64_null/serial_skewness_int64_null.1.ast
new file mode 100644
index 0000000..7911712
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int64_null/serial_skewness_int64_null.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : bigint
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int64_null/serial_skewness_int64_null.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int64_null/serial_skewness_int64_null.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int64_null/serial_skewness_int64_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int64_null/serial_skewness_int64_null.3.ast
new file mode 100644
index 0000000..925de9f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int64_null/serial_skewness_int64_null.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    valplus:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [valplus]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int8/serial_skewness_int8.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int8/serial_skewness_int8.1.ast
new file mode 100644
index 0000000..44c9cde
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int8/serial_skewness_int8.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : tinyint
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int8/serial_skewness_int8.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int8/serial_skewness_int8.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int8/serial_skewness_int8.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int8/serial_skewness_int8.3.ast
new file mode 100644
index 0000000..04c73ef
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int8/serial_skewness_int8.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=val
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    val:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [val]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int8_null/serial_skewness_int8_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int8_null/serial_skewness_int8_null.1.ast
new file mode 100644
index 0000000..44c9cde
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int8_null/serial_skewness_int8_null.1.ast
@@ -0,0 +1,9 @@
+DataverseUse test
+TypeDecl TestType [
+  open RecordType {
+    id : bigint,
+    gid : bigint,
+    val : tinyint
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int8_null/serial_skewness_int8_null.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_stddev_mixed/serial_stddev_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int8_null/serial_skewness_int8_null.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int8_null/serial_skewness_int8_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int8_null/serial_skewness_int8_null.3.ast
new file mode 100644
index 0000000..925de9f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_int8_null/serial_skewness_int8_null.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    valplus:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [valplus]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_mixed/serial_skewness_mixed.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_mixed/serial_skewness_mixed.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_mixed/serial_skewness_mixed.2.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate-sql/serial_var_mixed/serial_var_int64_null.2.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_mixed/serial_skewness_mixed.2.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_mixed/serial_skewness_mixed.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_mixed/serial_skewness_mixed.3.ast
new file mode 100644
index 0000000..925de9f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_skewness_mixed/serial_skewness_mixed.3.ast
@@ -0,0 +1,40 @@
+DataverseUse test
+Query:
+SELECT [
+Variable [ Name=$gid ]
+gid
+FunctionCall asterix.skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$g ]
+      Field=valplus
+    ]
+    ]
+    FROM [      Variable [ Name=$g ]
+      AS Variable [ Name=$g ]
+    ]
+  )
+]
+skewness
+]
+FROM [  FunctionCall asterix.dataset@1[
+    LiteralExpr [STRING] [test.Test]
+  ]
+  AS Variable [ Name=$t ]
+]
+Groupby
+  Variable [ Name=$gid ]
+  :=
+  FieldAccessor [
+    Variable [ Name=$t ]
+    Field=gid
+  ]
+  GROUP AS Variable [ Name=$g ]
+  (
+    valplus:=FunctionCall asterix.field-access-by-name@2[
+  Variable [ Name=$t ]
+  LiteralExpr [STRING] [valplus]
+]
+  )
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_double/serial_stddev_double.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_double/serial_stddev_double.3.ast
index 02388b6..a246849 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_double/serial_stddev_double.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_double/serial_stddev_double.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.stddev@1[
+FunctionCall asterix.stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_double_null/serial_stddev_double_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_double_null/serial_stddev_double_null.3.ast
index b8ce40c..98e072d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_double_null/serial_stddev_double_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_double_null/serial_stddev_double_null.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.stddev@1[
+FunctionCall asterix.stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_empty/serial_stddev_empty.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_empty/serial_stddev_empty.3.ast
index 02388b6..a246849 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_empty/serial_stddev_empty.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_empty/serial_stddev_empty.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.stddev@1[
+FunctionCall asterix.stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_float/serial_stddev_float.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_float/serial_stddev_float.3.ast
index 02388b6..a246849 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_float/serial_stddev_float.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_float/serial_stddev_float.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.stddev@1[
+FunctionCall asterix.stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_float_null/serial_stddev_float_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_float_null/serial_stddev_float_null.3.ast
index b8ce40c..98e072d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_float_null/serial_stddev_float_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_float_null/serial_stddev_float_null.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.stddev@1[
+FunctionCall asterix.stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int16/serial_stddev_int16.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int16/serial_stddev_int16.3.ast
index 02388b6..a246849 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int16/serial_stddev_int16.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int16/serial_stddev_int16.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.stddev@1[
+FunctionCall asterix.stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int16_null/serial_stddev_int16_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int16_null/serial_stddev_int16_null.3.ast
index b8ce40c..98e072d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int16_null/serial_stddev_int16_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int16_null/serial_stddev_int16_null.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.stddev@1[
+FunctionCall asterix.stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int32/serial_stddev_int32.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int32/serial_stddev_int32.3.ast
index 02388b6..a246849 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int32/serial_stddev_int32.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int32/serial_stddev_int32.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.stddev@1[
+FunctionCall asterix.stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int32_null/serial_stddev_int32_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int32_null/serial_stddev_int32_null.3.ast
index b8ce40c..98e072d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int32_null/serial_stddev_int32_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int32_null/serial_stddev_int32_null.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.stddev@1[
+FunctionCall asterix.stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int64/serial_stddev_int64.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int64/serial_stddev_int64.3.ast
index 02388b6..a246849 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int64/serial_stddev_int64.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int64/serial_stddev_int64.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.stddev@1[
+FunctionCall asterix.stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int64_null/serial_stddev_int64_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int64_null/serial_stddev_int64_null.3.ast
index b8ce40c..98e072d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int64_null/serial_stddev_int64_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int64_null/serial_stddev_int64_null.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.stddev@1[
+FunctionCall asterix.stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int8/serial_stddev_int8.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int8/serial_stddev_int8.3.ast
index 02388b6..a246849 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int8/serial_stddev_int8.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int8/serial_stddev_int8.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.stddev@1[
+FunctionCall asterix.stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int8_null/serial_stddev_int8_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int8_null/serial_stddev_int8_null.3.ast
index b8ce40c..98e072d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int8_null/serial_stddev_int8_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_int8_null/serial_stddev_int8_null.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.stddev@1[
+FunctionCall asterix.stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 FunctionCall asterix.stddev_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_mixed/serial_stddev_mixed.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_mixed/serial_stddev_mixed.3.ast
index f05d552..d8cdbde 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_mixed/serial_stddev_mixed.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_stddev_mixed/serial_stddev_mixed.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.stddev@1[
+FunctionCall asterix.stddev_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-stddev
+stddev_samp
 ]
 FROM [  FunctionCall asterix.dataset@1[
     LiteralExpr [STRING] [test.Test]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_double/serial_var_double.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_double/serial_var_double.3.ast
index 44c30e7..7cebf6d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_double/serial_var_double.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_double/serial_var_double.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.var@1[
+FunctionCall asterix.var_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-var
+var_samp
 FunctionCall asterix.var_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_double_null/serial_var_double_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_double_null/serial_var_double_null.3.ast
index 5dc2f39..98690d9 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_double_null/serial_var_double_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_double_null/serial_var_double_null.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.var@1[
+FunctionCall asterix.var_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-var
+var_samp
 FunctionCall asterix.var_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_empty/serial_var_empty.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_empty/serial_var_empty.3.ast
index 44c30e7..7cebf6d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_empty/serial_var_empty.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_empty/serial_var_empty.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.var@1[
+FunctionCall asterix.var_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-var
+var_samp
 FunctionCall asterix.var_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_float/serial_var_float.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_float/serial_var_float.3.ast
index 44c30e7..7cebf6d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_float/serial_var_float.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_float/serial_var_float.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.var@1[
+FunctionCall asterix.var_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-var
+var_samp
 FunctionCall asterix.var_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_float_null/serial_var_float_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_float_null/serial_var_float_null.3.ast
index 5dc2f39..98690d9 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_float_null/serial_var_float_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_float_null/serial_var_float_null.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.var@1[
+FunctionCall asterix.var_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-var
+var_samp
 FunctionCall asterix.var_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int16/serial_var_int16.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int16/serial_var_int16.3.ast
index 44c30e7..7cebf6d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int16/serial_var_int16.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int16/serial_var_int16.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.var@1[
+FunctionCall asterix.var_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-var
+var_samp
 FunctionCall asterix.var_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int16_null/serial_var_int16_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int16_null/serial_var_int16_null.3.ast
index 5dc2f39..98690d9 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int16_null/serial_var_int16_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int16_null/serial_var_int16_null.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.var@1[
+FunctionCall asterix.var_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-var
+var_samp
 FunctionCall asterix.var_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int32/serial_var_int32.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int32/serial_var_int32.3.ast
index 44c30e7..7cebf6d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int32/serial_var_int32.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int32/serial_var_int32.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.var@1[
+FunctionCall asterix.var_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-var
+var_samp
 FunctionCall asterix.var_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int32_null/serial_var_int32_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int32_null/serial_var_int32_null.3.ast
index 5dc2f39..98690d9 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int32_null/serial_var_int32_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int32_null/serial_var_int32_null.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.var@1[
+FunctionCall asterix.var_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-var
+var_samp
 FunctionCall asterix.var_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int64/serial_var_int64.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int64/serial_var_int64.3.ast
index 44c30e7..7cebf6d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int64/serial_var_int64.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int64/serial_var_int64.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.var@1[
+FunctionCall asterix.var_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-var
+var_samp
 FunctionCall asterix.var_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int64_null/serial_var_int64_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int64_null/serial_var_int64_null.3.ast
index 5dc2f39..98690d9 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int64_null/serial_var_int64_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int64_null/serial_var_int64_null.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.var@1[
+FunctionCall asterix.var_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-var
+var_samp
 FunctionCall asterix.var_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int8/serial_var_int8.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int8/serial_var_int8.3.ast
index 44c30e7..7cebf6d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int8/serial_var_int8.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int8/serial_var_int8.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.var@1[
+FunctionCall asterix.var_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-var
+var_samp
 FunctionCall asterix.var_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int8_null/serial_var_int8_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int8_null/serial_var_int8_null.3.ast
index 5dc2f39..98690d9 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int8_null/serial_var_int8_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_int8_null/serial_var_int8_null.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.var@1[
+FunctionCall asterix.var_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-var
+var_samp
 FunctionCall asterix.var_pop@1[
   (
     SELECT ELEMENT [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_mixed/serial_var_mixed.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_mixed/serial_var_mixed.3.ast
index a42c0cb..32e4fea 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_mixed/serial_var_mixed.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/serial_var_mixed/serial_var_mixed.3.ast
@@ -3,7 +3,7 @@
 SELECT [
 Variable [ Name=$gid ]
 gid
-FunctionCall asterix.var@1[
+FunctionCall asterix.var_samp@1[
   (
     SELECT ELEMENT [
     FieldAccessor [
@@ -16,7 +16,7 @@
     ]
   )
 ]
-var
+var_samp
 ]
 FROM [  FunctionCall asterix.dataset@1[
     LiteralExpr [STRING] [test.Test]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_double/skewness_double.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_double/skewness_double.1.ast
new file mode 100644
index 0000000..086bc5f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_double/skewness_double.1.ast
@@ -0,0 +1,2 @@
+DataverseUse test
+
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_double/skewness_double.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_double/skewness_double.3.ast
new file mode 100644
index 0000000..f494ef4
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_double/skewness_double.3.ast
@@ -0,0 +1,19 @@
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.skewness@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        LiteralExpr [DOUBLE] [1.0]
+        LiteralExpr [DOUBLE] [2.0]
+        FunctionCall null.double@1[
+          LiteralExpr [STRING] [3.0]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_double_null/skewness_double_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_double_null/skewness_double_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_double_null/skewness_double_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_double_null/skewness_double_null.3.ast
new file mode 100644
index 0000000..37aee67
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_double_null/skewness_double_null.3.ast
@@ -0,0 +1,23 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [skewness]
+    :
+    FunctionCall asterix.skewness@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=doubleField
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_empty_01/skewness_empty_01.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_empty_01/skewness_empty_01.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_empty_01/skewness_empty_01.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_empty_01/skewness_empty_01.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_empty_01/skewness_empty_01.3.ast
new file mode 100644
index 0000000..b22541d
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_empty_01/skewness_empty_01.3.ast
@@ -0,0 +1,24 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.skewness@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        LiteralExpr [LONG] [1]
+        LiteralExpr [LONG] [2]
+        LiteralExpr [LONG] [3]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+    Where
+      OperatorExpr [
+        Variable [ Name=$x ]
+        >
+        LiteralExpr [LONG] [10]
+      ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_empty_02/skewness_empty_02.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_empty_02/skewness_empty_02.1.ast
new file mode 100644
index 0000000..babcce4
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_empty_02/skewness_empty_02.1.ast
@@ -0,0 +1,8 @@
+DataverseUse test
+TypeDecl TestType [
+  closed RecordType {
+    id : integer,
+    val : double
+  }
+]
+DatasetDecl Test(TestType) partitioned by [[id]]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_empty_02/skewness_empty_02.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_empty_02/skewness_empty_02.3.ast
new file mode 100644
index 0000000..893d26e
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_empty_02/skewness_empty_02.3.ast
@@ -0,0 +1,19 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.skewness@1[
+  (
+    SELECT ELEMENT [
+    FieldAccessor [
+      Variable [ Name=$x ]
+      Field=val
+    ]
+    ]
+    FROM [      FunctionCall asterix.dataset@1[
+        LiteralExpr [STRING] [test.Test]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_float/skewness_float.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_float/skewness_float.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_float/skewness_float.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_float/skewness_float.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_float/skewness_float.3.ast
new file mode 100644
index 0000000..8db90d3
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_float/skewness_float.3.ast
@@ -0,0 +1,24 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.skewness@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        FunctionCall test.float@1[
+          LiteralExpr [STRING] [1]
+        ]
+        FunctionCall test.float@1[
+          LiteralExpr [STRING] [2]
+        ]
+        FunctionCall test.float@1[
+          LiteralExpr [STRING] [3]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_float_null/skewness_float_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_float_null/skewness_float_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_float_null/skewness_float_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_float_null/skewness_float_null.3.ast
new file mode 100644
index 0000000..c198b59
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_float_null/skewness_float_null.3.ast
@@ -0,0 +1,23 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [skewness]
+    :
+    FunctionCall asterix.skewness@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=floatField
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int16/skewness_int16.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int16/skewness_int16.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int16/skewness_int16.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int16/skewness_int16.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int16/skewness_int16.3.ast
new file mode 100644
index 0000000..4239198
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int16/skewness_int16.3.ast
@@ -0,0 +1,24 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.skewness@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        FunctionCall test.int16@1[
+          LiteralExpr [STRING] [1]
+        ]
+        FunctionCall test.int16@1[
+          LiteralExpr [STRING] [2]
+        ]
+        FunctionCall test.int16@1[
+          LiteralExpr [STRING] [3]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int16_null/skewness_int16_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int16_null/skewness_int16_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int16_null/skewness_int16_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int16_null/skewness_int16_null.3.ast
new file mode 100644
index 0000000..9870c60
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int16_null/skewness_int16_null.3.ast
@@ -0,0 +1,23 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [skewness]
+    :
+    FunctionCall asterix.skewness@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=int16Field
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int32/skewness_int32.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int32/skewness_int32.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int32/skewness_int32.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int32/skewness_int32.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int32/skewness_int32.3.ast
new file mode 100644
index 0000000..16414e5
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int32/skewness_int32.3.ast
@@ -0,0 +1,18 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.skewness@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        LiteralExpr [LONG] [1]
+        LiteralExpr [LONG] [2]
+        LiteralExpr [LONG] [3]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int32_null/skewness_int32_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int32_null/skewness_int32_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int32_null/skewness_int32_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int32_null/skewness_int32_null.3.ast
new file mode 100644
index 0000000..9d49b65
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int32_null/skewness_int32_null.3.ast
@@ -0,0 +1,23 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [skewness]
+    :
+    FunctionCall asterix.skewness@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=int32Field
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int64/skewness_int64.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int64/skewness_int64.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int64/skewness_int64.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int64/skewness_int64.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int64/skewness_int64.3.ast
new file mode 100644
index 0000000..f9ec6d2
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int64/skewness_int64.3.ast
@@ -0,0 +1,24 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.skewness@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        FunctionCall test.int64@1[
+          LiteralExpr [STRING] [1]
+        ]
+        FunctionCall test.int64@1[
+          LiteralExpr [STRING] [2]
+        ]
+        FunctionCall test.int64@1[
+          LiteralExpr [STRING] [3]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int64_null/skewness_int64_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int64_null/skewness_int64_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int64_null/skewness_int64_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int64_null/skewness_int64_null.3.ast
new file mode 100644
index 0000000..7b2555f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int64_null/skewness_int64_null.3.ast
@@ -0,0 +1,23 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [skewness]
+    :
+    FunctionCall asterix.skewness@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=int64Field
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int8/skewness_int8.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int8/skewness_int8.1.ast
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int8/skewness_int8.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int8/skewness_int8.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int8/skewness_int8.3.ast
new file mode 100644
index 0000000..28f63a3
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int8/skewness_int8.3.ast
@@ -0,0 +1,24 @@
+DataverseUse test
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.skewness@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        FunctionCall test.int8@1[
+          LiteralExpr [STRING] [1]
+        ]
+        FunctionCall test.int8@1[
+          LiteralExpr [STRING] [2]
+        ]
+        FunctionCall test.int8@1[
+          LiteralExpr [STRING] [3]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int8_null/skewness_int8_null.1.ast
similarity index 100%
copy from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast
copy to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int8_null/skewness_int8_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int8_null/skewness_int8_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int8_null/skewness_int8_null.3.ast
new file mode 100644
index 0000000..1b49e43
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_int8_null/skewness_int8_null.3.ast
@@ -0,0 +1,23 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [skewness]
+    :
+    FunctionCall asterix.skewness@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=int8Field
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_mixed/skewness_mixed.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_mixed/skewness_mixed.3.ast
new file mode 100644
index 0000000..0e9858f
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/skewness_mixed/skewness_mixed.3.ast
@@ -0,0 +1,22 @@
+Query:
+SELECT ELEMENT [
+FunctionCall asterix.skewness@1[
+  (
+    SELECT ELEMENT [
+    Variable [ Name=$x ]
+    ]
+    FROM [      OrderedListConstructor [
+        FunctionCall null.float@1[
+          LiteralExpr [STRING] [2.0]
+        ]
+        LiteralExpr [STRING] [hello world]
+        LiteralExpr [LONG] [93847382783847382]
+        FunctionCall null.date@1[
+          LiteralExpr [STRING] [2013-01-01]
+        ]
+      ]
+      AS Variable [ Name=$x ]
+    ]
+  )
+]
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_double/stddev_double.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_double/stddev_double.3.ast
index c2a0566..21402a9 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_double/stddev_double.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_double/stddev_double.3.ast
@@ -1,11 +1,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.stddev@1[
+      FunctionCall asterix.stddev_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_double_null/stddev_double_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_double_null/stddev_double_null.3.ast
index 863ef3a..03c867b 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_double_null/stddev_double_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_double_null/stddev_double_null.3.ast
@@ -2,9 +2,9 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
-    FunctionCall asterix.stddev@1[
+    FunctionCall asterix.stddev_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_empty_01/stddev_empty_01.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_empty_01/stddev_empty_01.3.ast
index 6d6b228..8937f5d 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_empty_01/stddev_empty_01.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_empty_01/stddev_empty_01.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.stddev@1[
+      FunctionCall asterix.stddev_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_empty_02/stddev_empty_02.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_empty_02/stddev_empty_02.3.ast
index ee7f74f..a5dcac9 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_empty_02/stddev_empty_02.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_empty_02/stddev_empty_02.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.stddev@1[
+      FunctionCall asterix.stddev_samp@1[
         (
           SELECT ELEMENT [
           FieldAccessor [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float/stddev_float.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float/stddev_float.3.ast
index 679b6a5..89fca0b 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float/stddev_float.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float/stddev_float.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.stddev@1[
+      FunctionCall asterix.stddev_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.3.ast
deleted file mode 100644
index 93e6093..0000000
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.3.ast
+++ /dev/null
@@ -1,42 +0,0 @@
-DataverseUse test
-Query:
-RecordConstructor [
-  (
-    LiteralExpr [STRING] [stddev]
-    :
-    FunctionCall asterix.stddev@1[
-      (
-        SELECT ELEMENT [
-        FieldAccessor [
-          Variable [ Name=$x ]
-          Field=floatField
-        ]
-        ]
-        FROM [          FunctionCall asterix.dataset@1[
-            LiteralExpr [STRING] [test.Numeric]
-          ]
-          AS Variable [ Name=$x ]
-        ]
-      )
-    ]
-  )
-  (
-    LiteralExpr [STRING] [stddev_pop]
-    :
-    FunctionCall asterix.stddev_pop@1[
-      (
-        SELECT ELEMENT [
-        FieldAccessor [
-          Variable [ Name=$x ]
-          Field=floatField
-        ]
-        ]
-        FROM [          FunctionCall asterix.dataset@1[
-            LiteralExpr [STRING] [test.Numeric]
-          ]
-          AS Variable [ Name=$x ]
-        ]
-      )
-    ]
-  )
-]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_null.1.ast
similarity index 100%
rename from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_nu.1.ast
rename to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_null.3.ast
new file mode 100644
index 0000000..95ebace
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_float_null/stddev_float_null.3.ast
@@ -0,0 +1,42 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [stddev_samp]
+    :
+    FunctionCall asterix.stddev_samp@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=floatField
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+  (
+    LiteralExpr [STRING] [stddev_pop]
+    :
+    FunctionCall asterix.stddev_pop@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=floatField
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int16/stddev_int16.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int16/stddev_int16.3.ast
index 00b7c98..0bb10a7 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int16/stddev_int16.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int16/stddev_int16.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.stddev@1[
+      FunctionCall asterix.stddev_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int16_null/stddev_int16_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int16_null/stddev_int16_null.3.ast
index bf1e0ad..1a59b30 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int16_null/stddev_int16_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int16_null/stddev_int16_null.3.ast
@@ -2,9 +2,9 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
-    FunctionCall asterix.stddev@1[
+    FunctionCall asterix.stddev_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int32/stddev_int32.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int32/stddev_int32.3.ast
index 626c894..906ee9b 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int32/stddev_int32.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int32/stddev_int32.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.stddev@1[
+      FunctionCall asterix.stddev_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int32_null/stddev_int32_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int32_null/stddev_int32_null.3.ast
index c76244c..b60a68b 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int32_null/stddev_int32_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int32_null/stddev_int32_null.3.ast
@@ -2,9 +2,9 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
-    FunctionCall asterix.stddev@1[
+    FunctionCall asterix.stddev_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int64/stddev_int64.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int64/stddev_int64.3.ast
index 64f7c03..0d50d68 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int64/stddev_int64.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int64/stddev_int64.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.stddev@1[
+      FunctionCall asterix.stddev_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int64_null/stddev_int64_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int64_null/stddev_int64_null.3.ast
index 27c0067..3523989 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int64_null/stddev_int64_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int64_null/stddev_int64_null.3.ast
@@ -2,9 +2,9 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
-    FunctionCall asterix.stddev@1[
+    FunctionCall asterix.stddev_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int8/stddev_int8.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int8/stddev_int8.3.ast
index c3eada1..f907f85 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int8/stddev_int8.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int8/stddev_int8.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.stddev@1[
+      FunctionCall asterix.stddev_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int8_null/stddev_int8_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int8_null/stddev_int8_null.3.ast
index db4982a..1a4af34 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int8_null/stddev_int8_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_int8_null/stddev_int8_null.3.ast
@@ -2,9 +2,9 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [stddev]
+    LiteralExpr [STRING] [stddev_samp]
     :
-    FunctionCall asterix.stddev@1[
+    FunctionCall asterix.stddev_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_mixed/stddev_mixed.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_mixed/stddev_mixed.3.ast
index 6661e1d..1013db0 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_mixed/stddev_mixed.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/stddev_mixed/stddev_mixed.3.ast
@@ -1,6 +1,6 @@
 Query:
 SELECT ELEMENT [
-FunctionCall asterix.stddev@1[
+FunctionCall asterix.stddev_samp@1[
   (
     SELECT ELEMENT [
     Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_double/var_double.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_double/var_double.3.ast
index 3c8e43d..b561ed9 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_double/var_double.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_double/var_double.3.ast
@@ -1,11 +1,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.var@1[
+      FunctionCall asterix.var_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_double_null/var_double_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_double_null/var_double_null.3.ast
index 6ae7dac..562c731 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_double_null/var_double_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_double_null/var_double_null.3.ast
@@ -2,9 +2,9 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
-    FunctionCall asterix.var@1[
+    FunctionCall asterix.var_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_empty_01/var_empty_01.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_empty_01/var_empty_01.3.ast
index 1deb3da..985f46a 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_empty_01/var_empty_01.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_empty_01/var_empty_01.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.var@1[
+      FunctionCall asterix.var_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_empty_02/var_empty_02.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_empty_02/var_empty_02.3.ast
index 2bafb81..9428d0c 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_empty_02/var_empty_02.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_empty_02/var_empty_02.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.var@1[
+      FunctionCall asterix.var_samp@1[
         (
           SELECT ELEMENT [
           FieldAccessor [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_float/var_float.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_float/var_float.3.ast
index b83c96c..415e866 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_float/var_float.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_float/var_float.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.var@1[
+      FunctionCall asterix.var_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_float_null/var_float_nu.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_float_null/var_float_nu.3.ast
deleted file mode 100644
index e057b6f..0000000
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_float_null/var_float_nu.3.ast
+++ /dev/null
@@ -1,42 +0,0 @@
-DataverseUse test
-Query:
-RecordConstructor [
-  (
-    LiteralExpr [STRING] [var]
-    :
-    FunctionCall asterix.var@1[
-      (
-        SELECT ELEMENT [
-        FieldAccessor [
-          Variable [ Name=$x ]
-          Field=floatField
-        ]
-        ]
-        FROM [          FunctionCall asterix.dataset@1[
-            LiteralExpr [STRING] [test.Numeric]
-          ]
-          AS Variable [ Name=$x ]
-        ]
-      )
-    ]
-  )
-  (
-    LiteralExpr [STRING] [var_pop]
-    :
-    FunctionCall asterix.var_pop@1[
-      (
-        SELECT ELEMENT [
-        FieldAccessor [
-          Variable [ Name=$x ]
-          Field=floatField
-        ]
-        ]
-        FROM [          FunctionCall asterix.dataset@1[
-            LiteralExpr [STRING] [test.Numeric]
-          ]
-          AS Variable [ Name=$x ]
-        ]
-      )
-    ]
-  )
-]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_float_null/var_float_nu.1.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_float_null/var_float_null.1.ast
similarity index 100%
rename from asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_float_null/var_float_nu.1.ast
rename to asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_float_null/var_float_null.1.ast
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_float_null/var_float_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_float_null/var_float_null.3.ast
new file mode 100644
index 0000000..cec50b7
--- /dev/null
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_float_null/var_float_null.3.ast
@@ -0,0 +1,42 @@
+DataverseUse test
+Query:
+RecordConstructor [
+  (
+    LiteralExpr [STRING] [var_samp]
+    :
+    FunctionCall asterix.var_samp@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=floatField
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+  (
+    LiteralExpr [STRING] [var_pop]
+    :
+    FunctionCall asterix.var_pop@1[
+      (
+        SELECT ELEMENT [
+        FieldAccessor [
+          Variable [ Name=$x ]
+          Field=floatField
+        ]
+        ]
+        FROM [          FunctionCall asterix.dataset@1[
+            LiteralExpr [STRING] [test.Numeric]
+          ]
+          AS Variable [ Name=$x ]
+        ]
+      )
+    ]
+  )
+]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int16/var_int16.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int16/var_int16.3.ast
index 79bcb4a..f4919e7 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int16/var_int16.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int16/var_int16.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.var@1[
+      FunctionCall asterix.var_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int16_null/var_int16_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int16_null/var_int16_null.3.ast
index 9b566f4..f8ebbeb 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int16_null/var_int16_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int16_null/var_int16_null.3.ast
@@ -2,9 +2,9 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
-    FunctionCall asterix.var@1[
+    FunctionCall asterix.var_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int32/var_int32.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int32/var_int32.3.ast
index 154538e..0b529b5 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int32/var_int32.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int32/var_int32.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.var@1[
+      FunctionCall asterix.var_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int32_null/var_int32_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int32_null/var_int32_null.3.ast
index 054780c..b50dcbb 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int32_null/var_int32_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int32_null/var_int32_null.3.ast
@@ -2,9 +2,9 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
-    FunctionCall asterix.var@1[
+    FunctionCall asterix.var_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int64/var_int64.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int64/var_int64.3.ast
index afbe240..2dc97d3 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int64/var_int64.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int64/var_int64.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.var@1[
+      FunctionCall asterix.var_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int64_null/var_int64_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int64_null/var_int64_null.3.ast
index 98b7ca7..7d08453 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int64_null/var_int64_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int64_null/var_int64_null.3.ast
@@ -2,9 +2,9 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
-    FunctionCall asterix.var@1[
+    FunctionCall asterix.var_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int8/var_int8.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int8/var_int8.3.ast
index f51aeee..21311bb 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int8/var_int8.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int8/var_int8.3.ast
@@ -2,11 +2,11 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
     (
       SELECT ELEMENT [
-      FunctionCall asterix.var@1[
+      FunctionCall asterix.var_samp@1[
         (
           SELECT ELEMENT [
           Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int8_null/var_int8_null.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int8_null/var_int8_null.3.ast
index 40ae288..186e2e3 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int8_null/var_int8_null.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_int8_null/var_int8_null.3.ast
@@ -2,9 +2,9 @@
 Query:
 RecordConstructor [
   (
-    LiteralExpr [STRING] [var]
+    LiteralExpr [STRING] [var_samp]
     :
-    FunctionCall asterix.var@1[
+    FunctionCall asterix.var_samp@1[
       (
         SELECT ELEMENT [
         FieldAccessor [
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_mixed/var_mixed.3.ast b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_mixed/var_mixed.3.ast
index ae1dddb..4e0bd99 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_mixed/var_mixed.3.ast
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/results_parser_sqlpp/aggregate/var_mixed/var_mixed.3.ast
@@ -1,6 +1,6 @@
 Query:
 SELECT ELEMENT [
-FunctionCall asterix.var@1[
+FunctionCall asterix.var_samp@1[
   (
     SELECT ELEMENT [
     Variable [ Name=$x ]
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/testsuite_sqlpp.xml b/asterixdb/asterix-app/src/test/resources/runtimets/testsuite_sqlpp.xml
index 23db0b1..42e3024 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/testsuite_sqlpp.xml
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/testsuite_sqlpp.xml
@@ -216,13 +216,13 @@
     <test-case FilePath="aggregate">
       <compilation-unit name="stddev_mixed">
         <output-dir compare="Text">stddev_mixed</output-dir>
-        <expected-error>Type incompatibility: function agg-stddev gets incompatible input values: string and float</expected-error>
+        <expected-error>Type incompatibility: function agg-stddev_samp gets incompatible input values: string and float</expected-error>
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate">
       <compilation-unit name="serial_stddev_mixed">
         <output-dir compare="Text">serial_stddev_mixed</output-dir>
-        <expected-error>Type incompatibility: function agg-stddev gets incompatible input values: string and float</expected-error>
+        <expected-error>Type incompatibility: function agg-stddev_samp gets incompatible input values: string and float</expected-error>
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate">
@@ -252,13 +252,13 @@
     <test-case FilePath="aggregate">
       <compilation-unit name="var_mixed">
         <output-dir compare="Text">var_mixed</output-dir>
-        <expected-error>Type incompatibility: function agg-var gets incompatible input values: string and float</expected-error>
+        <expected-error>Type incompatibility: function agg-var_samp gets incompatible input values: string and float</expected-error>
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate">
       <compilation-unit name="serial_var_mixed">
         <output-dir compare="Text">serial_var_mixed</output-dir>
-        <expected-error>Type incompatibility: function agg-var gets incompatible input values: string and float</expected-error>
+        <expected-error>Type incompatibility: function agg-var_samp gets incompatible input values: string and float</expected-error>
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate">
@@ -274,6 +274,30 @@
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_mixed">
+        <output-dir compare="Text">kurtosis_mixed</output-dir>
+        <expected-error>Type incompatibility: function agg-kurtosis gets incompatible input values: string and float</expected-error>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_mixed">
+        <output-dir compare="Text">serial_kurtosis_mixed</output-dir>
+        <expected-error>Type incompatibility: function agg-kurtosis gets incompatible input values: string and float</expected-error>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_mixed">
+        <output-dir compare="Text">skewness_mixed</output-dir>
+        <expected-error>Type incompatibility: function agg-skewness gets incompatible input values: string and float</expected-error>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_mixed">
+        <output-dir compare="Text">serial_skewness_mixed</output-dir>
+        <expected-error>Type incompatibility: function agg-skewness gets incompatible input values: string and float</expected-error>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
       <compilation-unit name="agg_number">
         <output-dir compare="Text">agg_number</output-dir>
       </compilation-unit>
@@ -505,6 +529,81 @@
         </test-case>
         -->
     <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_double">
+        <output-dir compare="Text">kurtosis_double</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_double_null">
+        <output-dir compare="Text">kurtosis_double_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_empty_01">
+        <output-dir compare="Text">kurtosis_empty_01</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_empty_02">
+        <output-dir compare="Text">kurtosis_empty_02</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_float">
+        <output-dir compare="Text">kurtosis_float</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_float_null">
+        <output-dir compare="Text">kurtosis_float_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_int16">
+        <output-dir compare="Text">kurtosis_int16</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_int16_null">
+        <output-dir compare="Text">kurtosis_int16_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_int32">
+        <output-dir compare="Text">kurtosis_int32</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_int32_null">
+        <output-dir compare="Text">kurtosis_int32_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_int64">
+        <output-dir compare="Text">kurtosis_int64</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_int64_null">
+        <output-dir compare="Text">kurtosis_int64_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_int8">
+        <output-dir compare="Text">kurtosis_int8</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_int8_null">
+        <output-dir compare="Text">kurtosis_int8_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_distinct">
+        <output-dir compare="Text">kurtosis_distinct</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
       <compilation-unit name="max_empty_01">
         <output-dir compare="Text">max_empty_01</output-dir>
       </compilation-unit>
@@ -565,6 +664,21 @@
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate">
+      <compilation-unit name="scalar_kurtosis">
+        <output-dir compare="Text">scalar_kurtosis</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="scalar_kurtosis_empty">
+        <output-dir compare="Text">scalar_kurtosis_empty</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="scalar_kurtosis_null">
+        <output-dir compare="Text">scalar_kurtosis_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
       <compilation-unit name="scalar_max">
         <output-dir compare="Text">scalar_max</output-dir>
       </compilation-unit>
@@ -595,6 +709,21 @@
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate">
+      <compilation-unit name="scalar_skewness">
+        <output-dir compare="Text">scalar_skewness</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="scalar_skewness_empty">
+        <output-dir compare="Text">scalar_skewness_empty</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="scalar_skewness_null">
+        <output-dir compare="Text">scalar_skewness_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
       <compilation-unit name="scalar_stddev">
         <output-dir compare="Text">scalar_stddev</output-dir>
       </compilation-unit>
@@ -640,6 +769,136 @@
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_double">
+        <output-dir compare="Text">serial_kurtosis_double</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_double_null">
+        <output-dir compare="Text">serial_kurtosis_double_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_empty">
+        <output-dir compare="Text">serial_kurtosis_empty</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_float">
+        <output-dir compare="Text">serial_kurtosis_float</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_float_null">
+        <output-dir compare="Text">serial_kurtosis_float_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_int16">
+        <output-dir compare="Text">serial_kurtosis_int16</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_int16_null">
+        <output-dir compare="Text">serial_kurtosis_int16_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_int32">
+        <output-dir compare="Text">serial_kurtosis_int32</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_int32_null">
+        <output-dir compare="Text">serial_kurtosis_int32_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_int64">
+        <output-dir compare="Text">serial_kurtosis_int64</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_int64_null">
+        <output-dir compare="Text">serial_kurtosis_int64_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_int8">
+        <output-dir compare="Text">serial_kurtosis_int8</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_int8_null">
+        <output-dir compare="Text">serial_kurtosis_int8_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_double">
+        <output-dir compare="Text">serial_skewness_double</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_double_null">
+        <output-dir compare="Text">serial_skewness_double_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_empty">
+        <output-dir compare="Text">serial_skewness_empty</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_float">
+        <output-dir compare="Text">serial_skewness_float</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_float_null">
+        <output-dir compare="Text">serial_skewness_float_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_int16">
+        <output-dir compare="Text">serial_skewness_int16</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_int16_null">
+        <output-dir compare="Text">serial_skewness_int16_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_int32">
+        <output-dir compare="Text">serial_skewness_int32</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_int32_null">
+        <output-dir compare="Text">serial_skewness_int32_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_int64">
+        <output-dir compare="Text">serial_skewness_int64</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_int64_null">
+        <output-dir compare="Text">serial_skewness_int64_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_int8">
+        <output-dir compare="Text">serial_skewness_int8</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_int8_null">
+        <output-dir compare="Text">serial_skewness_int8_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
       <compilation-unit name="serial_stddev_double">
         <output-dir compare="Text">serial_stddev_double</output-dir>
       </compilation-unit>
@@ -841,6 +1100,81 @@
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_double">
+        <output-dir compare="Text">skewness_double</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_double_null">
+        <output-dir compare="Text">skewness_double_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_empty_01">
+        <output-dir compare="Text">skewness_empty_01</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_empty_02">
+        <output-dir compare="Text">skewness_empty_02</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_float">
+        <output-dir compare="Text">skewness_float</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_float_null">
+        <output-dir compare="Text">skewness_float_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_int16">
+        <output-dir compare="Text">skewness_int16</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_int16_null">
+        <output-dir compare="Text">skewness_int16_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_int32">
+        <output-dir compare="Text">skewness_int32</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_int32_null">
+        <output-dir compare="Text">skewness_int32_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_int64">
+        <output-dir compare="Text">skewness_int64</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_int64_null">
+        <output-dir compare="Text">skewness_int64_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_int8">
+        <output-dir compare="Text">skewness_int8</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_int8_null">
+        <output-dir compare="Text">skewness_int8_null</output-dir>
+      </compilation-unit>
+    </test-case>
+      <test-case FilePath="aggregate">
+          <compilation-unit name="skewness_distinct">
+              <output-dir compare="Text">skewness_distinct</output-dir>
+          </compilation-unit>
+      </test-case>
+    <test-case FilePath="aggregate">
       <compilation-unit name="stddev_double">
         <output-dir compare="Text">stddev_double</output-dir>
       </compilation-unit>
@@ -1128,13 +1462,13 @@
     <test-case FilePath="aggregate-sql">
       <compilation-unit name="serial_stddev_mixed">
         <output-dir compare="Text">serial_stddev_mixed</output-dir>
-        <expected-error>Invalid item type: function agg-stddev cannot process item type string in an input array (or multiset)</expected-error>
+        <expected-error>Invalid item type: function agg-stddev_samp cannot process item type string in an input array (or multiset)</expected-error>
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate-sql">
       <compilation-unit name="stddev_mixed">
         <output-dir compare="Text">stddev_mixed</output-dir>
-        <expected-error>Type incompatibility: function agg-stddev gets incompatible input values: string and float</expected-error>
+        <expected-error>Type incompatibility: function agg-stddev_samp gets incompatible input values: string and float</expected-error>
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate-sql">
@@ -1164,13 +1498,13 @@
     <test-case FilePath="aggregate-sql">
       <compilation-unit name="serial_var_mixed">
         <output-dir compare="Text">serial_var_mixed</output-dir>
-        <expected-error>Invalid item type: function agg-var cannot process item type string in an input array (or multiset)</expected-error>
+        <expected-error>Invalid item type: function agg-var_samp cannot process item type string in an input array (or multiset)</expected-error>
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate-sql">
       <compilation-unit name="var_mixed">
         <output-dir compare="Text">var_mixed</output-dir>
-        <expected-error>Type incompatibility: function agg-var gets incompatible input values: string and float</expected-error>
+        <expected-error>Type incompatibility: function agg-var_samp gets incompatible input values: string and float</expected-error>
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate-sql">
@@ -1186,6 +1520,18 @@
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_mixed">
+        <output-dir compare="Text">serial_skewness_mixed</output-dir>
+        <expected-error>Invalid item type: function agg-skewness cannot process item type string in an input array (or multiset)</expected-error>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_mixed">
+        <output-dir compare="Text">skewness_mixed</output-dir>
+        <expected-error>Type incompatibility: function agg-skewness gets incompatible input values: string and float</expected-error>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
       <compilation-unit name="agg_number">
         <output-dir compare="Text">agg_number</output-dir>
       </compilation-unit>
@@ -1346,6 +1692,81 @@
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_double">
+        <output-dir compare="Text">kurtosis_double</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_double_null">
+        <output-dir compare="Text">kurtosis_double_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_empty_01">
+        <output-dir compare="Text">kurtosis_empty_01</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_empty_02">
+        <output-dir compare="Text">kurtosis_empty_02</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_float">
+        <output-dir compare="Text">kurtosis_float</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_float_null">
+        <output-dir compare="Text">kurtosis_float_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_int16">
+        <output-dir compare="Text">kurtosis_int16</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_int16_null">
+        <output-dir compare="Text">kurtosis_int16_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_int32">
+        <output-dir compare="Text">kurtosis_int32</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_int32_null">
+        <output-dir compare="Text">kurtosis_int32_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_int64">
+        <output-dir compare="Text">kurtosis_int64</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_int64_null">
+        <output-dir compare="Text">kurtosis_int64_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_int8">
+        <output-dir compare="Text">kurtosis_int8</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_int8_null">
+        <output-dir compare="Text">kurtosis_int8_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_distinct">
+        <output-dir compare="Text">kurtosis_distinct</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
       <compilation-unit name="max_empty_01">
         <output-dir compare="Text">max_empty_01</output-dir>
       </compilation-unit>
@@ -1406,6 +1827,21 @@
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate-sql">
+      <compilation-unit name="scalar_kurtosis">
+        <output-dir compare="Text">scalar_kurtosis</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="scalar_kurtosis_empty">
+        <output-dir compare="Text">scalar_kurtosis_empty</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="scalar_kurtosis_null">
+        <output-dir compare="Text">scalar_kurtosis_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
       <compilation-unit name="scalar_max">
         <output-dir compare="Text">scalar_max</output-dir>
       </compilation-unit>
@@ -1436,6 +1872,21 @@
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate-sql">
+      <compilation-unit name="scalar_skewness">
+        <output-dir compare="Text">scalar_skewness</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="scalar_skewness_empty">
+        <output-dir compare="Text">scalar_skewness_empty</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="scalar_skewness_null">
+        <output-dir compare="Text">scalar_skewness_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
       <compilation-unit name="scalar_stddev">
         <output-dir compare="Text">scalar_stddev</output-dir>
       </compilation-unit>
@@ -1481,6 +1932,136 @@
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_double">
+        <output-dir compare="Text">serial_kurtosis_double</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_double_null">
+        <output-dir compare="Text">serial_kurtosis_double_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_empty">
+        <output-dir compare="Text">serial_kurtosis_empty</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_float">
+        <output-dir compare="Text">serial_kurtosis_float</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_float_null">
+        <output-dir compare="Text">serial_kurtosis_float_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_int16">
+        <output-dir compare="Text">serial_kurtosis_int16</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_int16_null">
+        <output-dir compare="Text">serial_kurtosis_int16_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_int32">
+        <output-dir compare="Text">serial_kurtosis_int32</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_int32_null">
+        <output-dir compare="Text">serial_kurtosis_int32_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_int64">
+        <output-dir compare="Text">serial_kurtosis_int64</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_int64_null">
+        <output-dir compare="Text">serial_kurtosis_int64_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_int8">
+        <output-dir compare="Text">serial_kurtosis_int8</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_int8_null">
+        <output-dir compare="Text">serial_kurtosis_int8_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_double">
+        <output-dir compare="Text">serial_skewness_double</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_double_null">
+        <output-dir compare="Text">serial_skewness_double_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_empty">
+        <output-dir compare="Text">serial_skewness_empty</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_float">
+        <output-dir compare="Text">serial_skewness_float</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_float_null">
+        <output-dir compare="Text">serial_skewness_float_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_int16">
+        <output-dir compare="Text">serial_skewness_int16</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_int16_null">
+        <output-dir compare="Text">serial_skewness_int16_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_int32">
+        <output-dir compare="Text">serial_skewness_int32</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_int32_null">
+        <output-dir compare="Text">serial_skewness_int32_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_int64">
+        <output-dir compare="Text">serial_skewness_int64</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_int64_null">
+        <output-dir compare="Text">serial_skewness_int64_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_int8">
+        <output-dir compare="Text">serial_skewness_int8</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_int8_null">
+        <output-dir compare="Text">serial_skewness_int8_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
       <compilation-unit name="serial_stddev_double">
         <output-dir compare="Text">serial_stddev_double</output-dir>
       </compilation-unit>
@@ -1682,6 +2263,81 @@
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_double">
+        <output-dir compare="Text">skewness_double</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_double_null">
+        <output-dir compare="Text">skewness_double_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_empty_01">
+        <output-dir compare="Text">skewness_empty_01</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_empty_02">
+        <output-dir compare="Text">skewness_empty_02</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_float">
+        <output-dir compare="Text">skewness_float</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_float_null">
+        <output-dir compare="Text">skewness_float_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_int16">
+        <output-dir compare="Text">skewness_int16</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_int16_null">
+        <output-dir compare="Text">skewness_int16_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_int32">
+        <output-dir compare="Text">skewness_int32</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_int32_null">
+        <output-dir compare="Text">skewness_int32_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_int64">
+        <output-dir compare="Text">skewness_int64</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_int64_null">
+        <output-dir compare="Text">skewness_int64_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_int8">
+        <output-dir compare="Text">skewness_int8</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_int8_null">
+        <output-dir compare="Text">skewness_int8_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_distinct">
+        <output-dir compare="Text">skewness_distinct</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
       <compilation-unit name="stddev_double">
         <output-dir compare="Text">stddev_double</output-dir>
       </compilation-unit>
diff --git a/asterixdb/asterix-app/src/test/resources/runtimets/testsuite_sqlpp_parser.xml b/asterixdb/asterix-app/src/test/resources/runtimets/testsuite_sqlpp_parser.xml
index 8f721cb..4199a64 100644
--- a/asterixdb/asterix-app/src/test/resources/runtimets/testsuite_sqlpp_parser.xml
+++ b/asterixdb/asterix-app/src/test/resources/runtimets/testsuite_sqlpp_parser.xml
@@ -170,6 +170,30 @@
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_mixed">
+        <output-dir compare="AST">kurtosis_mixed</output-dir>
+        <expected-error>org.apache.asterix.common.exceptions.AsterixException</expected-error>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_mixed">
+        <output-dir compare="AST">serial_kurtosis_mixed</output-dir>
+        <expected-error>org.apache.asterix.common.exceptions.AsterixException</expected-error>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_mixed">
+        <output-dir compare="AST">skewness_mixed</output-dir>
+        <expected-error>org.apache.asterix.common.exceptions.AsterixException</expected-error>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_mixed">
+        <output-dir compare="AST">serial_skewness_mixed</output-dir>
+        <expected-error>org.apache.asterix.common.exceptions.AsterixException</expected-error>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
       <compilation-unit name="agg_number">
         <output-dir compare="AST">agg_number</output-dir>
       </compilation-unit>
@@ -386,6 +410,76 @@
         </test-case>
         -->
     <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_double">
+        <output-dir compare="AST">kurtosis_double</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_double_null">
+        <output-dir compare="AST">kurtosis_double_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_empty_01">
+        <output-dir compare="AST">kurtosis_empty_01</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_empty_02">
+        <output-dir compare="AST">kurtosis_empty_02</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_float">
+        <output-dir compare="AST">kurtosis_float</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_float_null">
+        <output-dir compare="AST">kurtosis_float_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_int16">
+        <output-dir compare="AST">kurtosis_int16</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_int16_null">
+        <output-dir compare="AST">kurtosis_int16_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_int32">
+        <output-dir compare="AST">kurtosis_int32</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_int32_null">
+        <output-dir compare="AST">kurtosis_int32_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_int64">
+        <output-dir compare="AST">kurtosis_int64</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_int64_null">
+        <output-dir compare="AST">kurtosis_int64_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_int8">
+        <output-dir compare="AST">kurtosis_int8</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="kurtosis_int8_null">
+        <output-dir compare="AST">kurtosis_int8_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
       <compilation-unit name="max_empty_01">
         <output-dir compare="AST">max_empty_01</output-dir>
       </compilation-unit>
@@ -436,6 +530,21 @@
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate">
+      <compilation-unit name="scalar_kurtosis">
+        <output-dir compare="AST">scalar_kurtosis</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="scalar_kurtosis_empty">
+        <output-dir compare="AST">scalar_kurtosis_empty</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="scalar_kurtosis_null">
+        <output-dir compare="AST">scalar_kurtosis_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
       <compilation-unit name="scalar_max">
         <output-dir compare="AST">scalar_max</output-dir>
       </compilation-unit>
@@ -466,6 +575,21 @@
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate">
+      <compilation-unit name="scalar_skewness">
+        <output-dir compare="AST">scalar_skewness</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="scalar_skewness_empty">
+        <output-dir compare="AST">scalar_skewness_empty</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="scalar_skewness_null">
+        <output-dir compare="AST">scalar_skewness_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
       <compilation-unit name="scalar_stddev">
         <output-dir compare="AST">scalar_stddev</output-dir>
       </compilation-unit>
@@ -511,8 +635,133 @@
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate">
-      <compilation-unit name="serial_stddev_int8_null">
-        <output-dir compare="AST">serial_stddev_int8_null</output-dir>
+      <compilation-unit name="serial_kurtosis_double">
+        <output-dir compare="AST">serial_kurtosis_double</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_double_null">
+        <output-dir compare="AST">serial_kurtosis_double_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_empty">
+        <output-dir compare="AST">serial_kurtosis_empty</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_float">
+        <output-dir compare="AST">serial_kurtosis_float</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_float_null">
+        <output-dir compare="AST">serial_kurtosis_float_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_int16">
+        <output-dir compare="AST">serial_kurtosis_int16</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_int16_null">
+        <output-dir compare="AST">serial_kurtosis_int16_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_int32">
+        <output-dir compare="AST">serial_kurtosis_int32</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_int32_null">
+        <output-dir compare="AST">serial_kurtosis_int32_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_int64">
+        <output-dir compare="AST">serial_kurtosis_int64</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_int64_null">
+        <output-dir compare="AST">serial_kurtosis_int64_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_int8">
+        <output-dir compare="AST">serial_kurtosis_int8</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_kurtosis_int8_null">
+        <output-dir compare="AST">serial_kurtosis_int8_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_double">
+        <output-dir compare="AST">serial_skewness_double</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_double_null">
+        <output-dir compare="AST">serial_skewness_double_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_empty">
+        <output-dir compare="AST">serial_skewness_empty</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_float">
+        <output-dir compare="AST">serial_skewness_float</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_float_null">
+        <output-dir compare="AST">serial_skewness_float_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_int16">
+        <output-dir compare="AST">serial_skewness_int16</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_int16_null">
+        <output-dir compare="AST">serial_skewness_int16_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_int32">
+        <output-dir compare="AST">serial_skewness_int32</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_int32_null">
+        <output-dir compare="AST">serial_skewness_int32_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_int64">
+        <output-dir compare="AST">serial_skewness_int64</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_int64_null">
+        <output-dir compare="AST">serial_skewness_int64_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_int8">
+        <output-dir compare="AST">serial_skewness_int8</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="serial_skewness_int8_null">
+        <output-dir compare="AST">serial_skewness_int8_null</output-dir>
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate">
@@ -581,11 +830,6 @@
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate">
-      <compilation-unit name="serial_var_int8_null">
-        <output-dir compare="AST">serial_var_int8_null</output-dir>
-      </compilation-unit>
-    </test-case>
-    <test-case FilePath="aggregate">
       <compilation-unit name="serial_var_double">
         <output-dir compare="AST">serial_var_double</output-dir>
       </compilation-unit>
@@ -651,6 +895,76 @@
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_double">
+        <output-dir compare="AST">skewness_double</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_double_null">
+        <output-dir compare="AST">skewness_double_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_empty_01">
+        <output-dir compare="AST">skewness_empty_01</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_empty_02">
+        <output-dir compare="AST">skewness_empty_02</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_float">
+        <output-dir compare="AST">skewness_float</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_float_null">
+        <output-dir compare="AST">skewness_float_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_int16">
+        <output-dir compare="AST">skewness_int16</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_int16_null">
+        <output-dir compare="AST">skewness_int16_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_int32">
+        <output-dir compare="AST">skewness_int32</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_int32_null">
+        <output-dir compare="AST">skewness_int32_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_int64">
+        <output-dir compare="AST">skewness_int64</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_int64_null">
+        <output-dir compare="AST">skewness_int64_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_int8">
+        <output-dir compare="AST">skewness_int8</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
+      <compilation-unit name="skewness_int8_null">
+        <output-dir compare="AST">skewness_int8_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate">
       <compilation-unit name="stddev_double">
         <output-dir compare="AST">stddev_double</output-dir>
       </compilation-unit>
@@ -964,6 +1278,30 @@
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_mixed">
+        <output-dir compare="AST">serial_kurtosis_mixed</output-dir>
+        <expected-error>org.apache.asterix.common.exceptions.AsterixException</expected-error>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_mixed">
+        <output-dir compare="AST">kurtosis_mixed</output-dir>
+        <expected-error>org.apache.asterix.common.exceptions.AsterixException</expected-error>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_mixed">
+        <output-dir compare="AST">serial_skewness_mixed</output-dir>
+        <expected-error>org.apache.asterix.common.exceptions.AsterixException</expected-error>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_mixed">
+        <output-dir compare="AST">skewness_mixed</output-dir>
+        <expected-error>org.apache.asterix.common.exceptions.AsterixException</expected-error>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
       <compilation-unit name="agg_number">
         <output-dir compare="AST">agg_number</output-dir>
       </compilation-unit>
@@ -1099,6 +1437,76 @@
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_double">
+        <output-dir compare="AST">kurtosis_double</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_double_null">
+        <output-dir compare="AST">kurtosis_double_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_empty_01">
+        <output-dir compare="AST">kurtosis_empty_01</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_empty_02">
+        <output-dir compare="AST">kurtosis_empty_02</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_float">
+        <output-dir compare="AST">kurtosis_float</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_float_null">
+        <output-dir compare="AST">kurtosis_float_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_int16">
+        <output-dir compare="AST">kurtosis_int16</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_int16_null">
+        <output-dir compare="AST">kurtosis_int16_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_int32">
+        <output-dir compare="AST">kurtosis_int32</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_int32_null">
+        <output-dir compare="AST">kurtosis_int32_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_int64">
+        <output-dir compare="AST">kurtosis_int64</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_int64_null">
+        <output-dir compare="AST">kurtosis_int64_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_int8">
+        <output-dir compare="AST">kurtosis_int8</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="kurtosis_int8_null">
+        <output-dir compare="AST">kurtosis_int8_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
       <compilation-unit name="max_empty_01">
         <output-dir compare="AST">max_empty_01</output-dir>
       </compilation-unit>
@@ -1149,6 +1557,21 @@
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate-sql">
+      <compilation-unit name="scalar_kurtosis">
+        <output-dir compare="AST">scalar_kurtosis</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="scalar_kurtosis_empty">
+        <output-dir compare="AST">scalar_kurtosis_empty</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="scalar_kurtosis_null">
+        <output-dir compare="AST">scalar_kurtosis_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
       <compilation-unit name="scalar_max">
         <output-dir compare="AST">scalar_max</output-dir>
       </compilation-unit>
@@ -1179,6 +1602,21 @@
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate-sql">
+      <compilation-unit name="scalar_skewness">
+        <output-dir compare="AST">scalar_skewness</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="scalar_skewness_empty">
+        <output-dir compare="AST">scalar_skewness_empty</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="scalar_skewness_null">
+        <output-dir compare="AST">scalar_skewness_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
       <compilation-unit name="scalar_stddev">
         <output-dir compare="AST">scalar_stddev</output-dir>
       </compilation-unit>
@@ -1224,6 +1662,136 @@
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_double">
+        <output-dir compare="AST">serial_kurtosis_double</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_double_null">
+        <output-dir compare="AST">serial_kurtosis_double_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_empty">
+        <output-dir compare="AST">serial_kurtosis_empty</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_float">
+        <output-dir compare="AST">serial_kurtosis_float</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_float_null">
+        <output-dir compare="AST">serial_kurtosis_float_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_int16">
+        <output-dir compare="AST">serial_kurtosis_int16</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_int16_null">
+        <output-dir compare="AST">serial_kurtosis_int16_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_int32">
+        <output-dir compare="AST">serial_kurtosis_int32</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_int32_null">
+        <output-dir compare="AST">serial_kurtosis_int32_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_int64">
+        <output-dir compare="AST">serial_kurtosis_int64</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_int64_null">
+        <output-dir compare="AST">serial_kurtosis_int64_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_int8">
+        <output-dir compare="AST">serial_kurtosis_int8</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_kurtosis_int8_null">
+        <output-dir compare="AST">serial_kurtosis_int8_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_double">
+        <output-dir compare="AST">serial_skewness_double</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_double_null">
+        <output-dir compare="AST">serial_skewness_double_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_empty">
+        <output-dir compare="AST">serial_skewness_empty</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_float">
+        <output-dir compare="AST">serial_skewness_float</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_float_null">
+        <output-dir compare="AST">serial_skewness_float_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_int16">
+        <output-dir compare="AST">serial_skewness_int16</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_int16_null">
+        <output-dir compare="AST">serial_skewness_int16_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_int32">
+        <output-dir compare="AST">serial_skewness_int32</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_int32_null">
+        <output-dir compare="AST">serial_skewness_int32_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_int64">
+        <output-dir compare="AST">serial_skewness_int64</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_int64_null">
+        <output-dir compare="AST">serial_skewness_int64_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_int8">
+        <output-dir compare="AST">serial_skewness_int8</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="serial_skewness_int8_null">
+        <output-dir compare="AST">serial_skewness_int8_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
       <compilation-unit name="serial_stddev_double">
         <output-dir compare="AST">serial_stddev_double</output-dir>
       </compilation-unit>
@@ -1289,6 +1857,76 @@
       </compilation-unit>
     </test-case>
     <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_double">
+        <output-dir compare="AST">skewness_double</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_double_null">
+        <output-dir compare="AST">skewness_double_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_empty_01">
+        <output-dir compare="AST">skewness_empty_01</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_empty_02">
+        <output-dir compare="AST">skewness_empty_02</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_float">
+        <output-dir compare="AST">skewness_float</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_float_null">
+        <output-dir compare="AST">skewness_float_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_int16">
+        <output-dir compare="AST">skewness_int16</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_int16_null">
+        <output-dir compare="AST">skewness_int16_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_int32">
+        <output-dir compare="AST">skewness_int32</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_int32_null">
+        <output-dir compare="AST">skewness_int32_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_int64">
+        <output-dir compare="AST">skewness_int64</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_int64_null">
+        <output-dir compare="AST">skewness_int64_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_int8">
+        <output-dir compare="AST">skewness_int8</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
+      <compilation-unit name="skewness_int8_null">
+        <output-dir compare="AST">skewness_int8_null</output-dir>
+      </compilation-unit>
+    </test-case>
+    <test-case FilePath="aggregate-sql">
       <compilation-unit name="stddev_double">
         <output-dir compare="AST">stddev_double</output-dir>
       </compilation-unit>
diff --git a/asterixdb/asterix-doc/src/main/markdown/builtins/9_aggregate_sql.md b/asterixdb/asterix-doc/src/main/markdown/builtins/9_aggregate_sql.md
index 3fdb4dd..17b6e13 100644
--- a/asterixdb/asterix-doc/src/main/markdown/builtins/9_aggregate_sql.md
+++ b/asterixdb/asterix-doc/src/main/markdown/builtins/9_aggregate_sql.md
@@ -167,11 +167,11 @@
         3.4
 
 
-### array_stddev ###
+### array_stddev_samp ###
 
  * Syntax:
 
-        array_stddev(num_collection)
+        array_stddev_samp(num_collection)
 
  * Gets the sample standard deviation value of the non-null and non-missing numeric items in the given collection.
  * Arguments:
@@ -188,7 +188,7 @@
 
  * Example:
 
-        array_stddev( [1.2, 2.3, 3.4, 0, null] );
+        array_stddev_samp( [1.2, 2.3, 3.4, 0, null] );
 
  * The expected result is:
 
@@ -221,11 +221,11 @@
 
         1.2636751956100112
 
-### array_var ###
+### array_var_samp ###
 
  * Syntax:
 
-        array_var(num_collection)
+        array_var_samp(num_collection)
 
  * Gets the sample variance value of the non-null and non-missing numeric items in the given collection.
  * Arguments:
@@ -242,7 +242,7 @@
 
  * Example:
 
-        array_var( [1.2, 2.3, 3.4, 0, null] );
+        array_var_samp( [1.2, 2.3, 3.4, 0, null] );
 
  * The expected result is:
 
@@ -275,6 +275,59 @@
 
         1.5968749999999998
 
+### array_skewness ###
+
+ * Syntax:
+
+        array_skewness(num_collection)
+
+ * Gets the skewness value of the non-null and non-missing numeric items in the given collection.
+ * Arguments:
+    * `num_collection` could be:
+        * an `array` or `multiset` containing numeric values, `null`s or `missing`s,
+        * or, a `null` value,
+        * or, a `missing` value.
+ * Return Value:
+    * a `double` value representing the skewness of the non-null and non-missing numbers in the given collection,
+    * `null` is returned if the input is `null` or `missing`,
+    * `null` is returned if the given collection does not contain any non-null and non-missing items,
+    * any other non-array and non-multiset input value will cause a type error,
+    * any other non-numeric value in the input collection will cause a type error.
+
+ * Example:
+
+        array_skewness( [1.2, 2.3, 3.4, 0, null] );
+
+ * The expected result is:
+
+        -0.04808451539164242
+
+### array_kurtosis ###
+
+ * Syntax:
+
+        array_kurtosis(num_collection)
+
+ * Gets the kurtosis value from the normal distribution of the non-null and non-missing numeric items in the given collection.
+ * Arguments:
+    * `num_collection` could be:
+        * an `array` or `multiset` containing numeric values, `null`s or `missing`s,
+        * or, a `null` value,
+        * or, a `missing` value.
+ * Return Value:
+    * a `double` value representing the kurtosis from a normal distribution of the non-null and non-missing numbers in the given collection,
+    * `null` is returned if the input is `null` or `missing`,
+    * `null` is returned if the given collection does not contain any non-null and non-missing items,
+    * any other non-array and non-multiset input value will cause a type error,
+    * any other non-numeric value in the input collection will cause a type error.
+
+ * Example:
+
+        array_kurtosis( [1.2, 2.3, 3.4, 0, null] );
+
+ * The expected result is:
+
+        -1.342049701096427
 
 ### strict_count ###
  * Syntax:
@@ -408,10 +461,10 @@
 
         100.0
 
-### strict_stddev ###
+### strict_stddev_samp ###
  * Syntax:
 
-        strict_stddev(num_collection)
+        strict_stddev_samp(num_collection)
 
  * Gets the sample standard deviation value of the numeric items in the given collection.
  * Arguments:
@@ -427,7 +480,7 @@
 
  * Example:
 
-        strict_stddev( [100, 200, 300] );
+        strict_stddev_samp( [100, 200, 300] );
 
  * The expected result is:
 
@@ -458,10 +511,10 @@
 
         81.64965809277261
 
-### strict_var ###
+### strict_var_samp ###
  * Syntax:
 
-        strict_var(num_collection)
+        strict_var_samp(num_collection)
 
  * Gets the sample variance value of the numeric items in the given collection.
  * Arguments:
@@ -477,7 +530,7 @@
 
  * Example:
 
-        strict_var( [100, 200, 300] );
+        strict_var_samp( [100, 200, 300] );
 
  * The expected result is:
 
@@ -507,3 +560,53 @@
  * The expected result is:
 
         6666.666666666667
+
+### strict_skewness ###
+ * Syntax:
+
+        strict_skewness(num_collection)
+
+ * Gets the skewness value of the numeric items in the given collection.
+ * Arguments:
+    * `num_collection` could be:
+        * an `array` or `multiset` containing numeric values, `null`s or `missing`s,
+        * or, a `null` value,
+        * or, a `missing` value.
+ * Return Value:
+    * a `double` value representing the skewness of the numbers in the given collection,
+    * `null` is returned if the input is `null` or `missing`,
+    * `null` is returned if there is a `null` or `missing` in the input collection,
+    * any other non-numeric value in the input collection will cause a type error.
+
+ * Example:
+
+        strict_skewness( [100, 200, 300] );
+
+ * The expected result is:
+
+        0.0
+
+### strict_kurtosis ###
+ * Syntax:
+
+        strict_kurtosis(num_collection)
+
+ * Gets the kurtosis value from the normal distribution of the numeric items in the given collection.
+ * Arguments:
+    * `num_collection` could be:
+        * an `array` or `multiset` containing numeric values, `null`s or `missing`s,
+        * or, a `null` value,
+        * or, a `missing` value.
+ * Return Value:
+    * a `double` value representing the kurtosis from a normal distribution of the numbers in the given collection,
+    * `null` is returned if the input is `null` or `missing`,
+    * `null` is returned if there is a `null` or `missing` in the input collection,
+    * any other non-numeric value in the input collection will cause a type error.
+
+ * Example:
+
+        strict_kurtosis( [100, 200, 300] );
+
+ * The expected result is:
+
+        -1.5
diff --git a/asterixdb/asterix-om/src/main/java/org/apache/asterix/om/functions/BuiltinFunctions.java b/asterixdb/asterix-om/src/main/java/org/apache/asterix/om/functions/BuiltinFunctions.java
index 43896d0..24ef2c5 100644
--- a/asterixdb/asterix-om/src/main/java/org/apache/asterix/om/functions/BuiltinFunctions.java
+++ b/asterixdb/asterix-om/src/main/java/org/apache/asterix/om/functions/BuiltinFunctions.java
@@ -497,14 +497,14 @@
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-local-first-element", 1);
     public static final FunctionIdentifier LAST_ELEMENT =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-last-element", 1);
-    public static final FunctionIdentifier STDDEV =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-stddev", 1);
-    public static final FunctionIdentifier GLOBAL_STDDEV =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-global-stddev", 1);
-    public static final FunctionIdentifier INTERMEDIATE_STDDEV =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-intermediate-stddev", 1);
-    public static final FunctionIdentifier LOCAL_STDDEV =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-local-stddev", 1);
+    public static final FunctionIdentifier STDDEV_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-stddev_samp", 1);
+    public static final FunctionIdentifier GLOBAL_STDDEV_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-global-stddev_samp", 1);
+    public static final FunctionIdentifier INTERMEDIATE_STDDEV_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-intermediate-stddev_samp", 1);
+    public static final FunctionIdentifier LOCAL_STDDEV_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-local-stddev_samp", 1);
     public static final FunctionIdentifier LOCAL_SAMPLING =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-local-sampling", FunctionIdentifier.VARARGS);
     public static final FunctionIdentifier RANGE_MAP =
@@ -517,13 +517,14 @@
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-intermediate-stddev_pop", 1);
     public static final FunctionIdentifier LOCAL_STDDEV_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-local-stddev_pop", 1);
-    public static final FunctionIdentifier VAR = new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-var", 1);
-    public static final FunctionIdentifier GLOBAL_VAR =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-global-var", 1);
-    public static final FunctionIdentifier INTERMEDIATE_VAR =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-intermediate-var", 1);
-    public static final FunctionIdentifier LOCAL_VAR =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-local-var", 1);
+    public static final FunctionIdentifier VAR_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-var_samp", 1);
+    public static final FunctionIdentifier GLOBAL_VAR_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-global-var_samp", 1);
+    public static final FunctionIdentifier INTERMEDIATE_VAR_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-intermediate-var_samp", 1);
+    public static final FunctionIdentifier LOCAL_VAR_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-local-var_samp", 1);
     public static final FunctionIdentifier VAR_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-var_pop", 1);
     public static final FunctionIdentifier GLOBAL_VAR_POP =
@@ -532,6 +533,22 @@
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-intermediate-var_pop", 1);
     public static final FunctionIdentifier LOCAL_VAR_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-local-var_pop", 1);
+    public static final FunctionIdentifier SKEWNESS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-skewness", 1);
+    public static final FunctionIdentifier GLOBAL_SKEWNESS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-global-skewness", 1);
+    public static final FunctionIdentifier INTERMEDIATE_SKEWNESS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-intermediate-skewness", 1);
+    public static final FunctionIdentifier LOCAL_SKEWNESS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-local-skewness", 1);
+    public static final FunctionIdentifier KURTOSIS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-kurtosis", 1);
+    public static final FunctionIdentifier GLOBAL_KURTOSIS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-global-kurtosis", 1);
+    public static final FunctionIdentifier INTERMEDIATE_KURTOSIS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-intermediate-kurtosis", 1);
+    public static final FunctionIdentifier LOCAL_KURTOSIS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-local-kurtosis", 1);
 
     public static final FunctionIdentifier SCALAR_AVG = new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "avg", 1);
     public static final FunctionIdentifier SCALAR_COUNT =
@@ -549,29 +566,42 @@
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-first-element", 1);
     public static final FunctionIdentifier SCALAR_LAST_ELEMENT =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "last-element", 1);
-    public static final FunctionIdentifier SCALAR_STDDEV =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "stddev", 1);
-    public static final FunctionIdentifier SCALAR_GLOBAL_STDDEV =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-stddev", 1);
-    public static final FunctionIdentifier SCALAR_LOCAL_STDDEV =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-stddev", 1);
+    public static final FunctionIdentifier SCALAR_STDDEV_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "stddev_samp", 1);
+    public static final FunctionIdentifier SCALAR_GLOBAL_STDDEV_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-stddev_samp", 1);
+    public static final FunctionIdentifier SCALAR_LOCAL_STDDEV_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-stddev_samp", 1);
     public static final FunctionIdentifier SCALAR_STDDEV_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "stddev_pop", 1);
     public static final FunctionIdentifier SCALAR_GLOBAL_STDDEV_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-stddev_pop", 1);
     public static final FunctionIdentifier SCALAR_LOCAL_STDDEV_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-stddev_pop", 1);
-    public static final FunctionIdentifier SCALAR_VAR = new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "var", 1);
-    public static final FunctionIdentifier SCALAR_GLOBAL_VAR =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-var", 1);
-    public static final FunctionIdentifier SCALAR_LOCAL_VAR =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-var", 1);
+    public static final FunctionIdentifier SCALAR_VAR_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "var_samp", 1);
+    public static final FunctionIdentifier SCALAR_GLOBAL_VAR_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-var_samp", 1);
+    public static final FunctionIdentifier SCALAR_LOCAL_VAR_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-var_samp", 1);
     public static final FunctionIdentifier SCALAR_VAR_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "var_pop", 1);
     public static final FunctionIdentifier SCALAR_GLOBAL_VAR_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-var_pop", 1);
     public static final FunctionIdentifier SCALAR_LOCAL_VAR_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-var_pop", 1);
+    public static final FunctionIdentifier SCALAR_SKEWNESS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "skewness", 1);
+    public static final FunctionIdentifier SCALAR_GLOBAL_SKEWNESS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-skewness", 1);
+    public static final FunctionIdentifier SCALAR_LOCAL_SKEWNESS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-skewness", 1);
+    public static final FunctionIdentifier SCALAR_KURTOSIS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "kurtosis", 1);
+    public static final FunctionIdentifier SCALAR_GLOBAL_KURTOSIS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-kurtosis", 1);
+    public static final FunctionIdentifier SCALAR_LOCAL_KURTOSIS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-kurtosis", 1);
 
     // serializable aggregate functions
     public static final FunctionIdentifier SERIAL_AVG =
@@ -592,14 +622,14 @@
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-avg-serial", 1);
     public static final FunctionIdentifier SERIAL_INTERMEDIATE_AVG =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "intermediate-avg-serial", 1);
-    public static final FunctionIdentifier SERIAL_STDDEV =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "stddev-serial", 1);
-    public static final FunctionIdentifier SERIAL_GLOBAL_STDDEV =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-stddev-serial", 1);
-    public static final FunctionIdentifier SERIAL_LOCAL_STDDEV =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-stddev-serial", 1);
-    public static final FunctionIdentifier SERIAL_INTERMEDIATE_STDDEV =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "intermediate-stddev-serial", 1);
+    public static final FunctionIdentifier SERIAL_STDDEV_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "stddev_samp-serial", 1);
+    public static final FunctionIdentifier SERIAL_GLOBAL_STDDEV_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-stddev_samp-serial", 1);
+    public static final FunctionIdentifier SERIAL_LOCAL_STDDEV_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-stddev_samp-serial", 1);
+    public static final FunctionIdentifier SERIAL_INTERMEDIATE_STDDEV_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "intermediate-stddev_samp-serial", 1);
     public static final FunctionIdentifier SERIAL_STDDEV_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "stddev_pop-serial", 1);
     public static final FunctionIdentifier SERIAL_GLOBAL_STDDEV_POP =
@@ -608,14 +638,14 @@
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-stddev_pop-serial", 1);
     public static final FunctionIdentifier SERIAL_INTERMEDIATE_STDDEV_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "intermediate-stddev_pop-serial", 1);
-    public static final FunctionIdentifier SERIAL_VAR =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "var-serial", 1);
-    public static final FunctionIdentifier SERIAL_GLOBAL_VAR =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-var-serial", 1);
-    public static final FunctionIdentifier SERIAL_LOCAL_VAR =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-var-serial", 1);
-    public static final FunctionIdentifier SERIAL_INTERMEDIATE_VAR =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "intermediate-var-serial", 1);
+    public static final FunctionIdentifier SERIAL_VAR_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "var_samp-serial", 1);
+    public static final FunctionIdentifier SERIAL_GLOBAL_VAR_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-var_samp-serial", 1);
+    public static final FunctionIdentifier SERIAL_LOCAL_VAR_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-var_samp-serial", 1);
+    public static final FunctionIdentifier SERIAL_INTERMEDIATE_VAR_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "intermediate-var_samp-serial", 1);
     public static final FunctionIdentifier SERIAL_VAR_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "var_pop-serial", 1);
     public static final FunctionIdentifier SERIAL_GLOBAL_VAR_POP =
@@ -624,6 +654,22 @@
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-var_pop-serial", 1);
     public static final FunctionIdentifier SERIAL_INTERMEDIATE_VAR_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "intermediate-var_pop-serial", 1);
+    public static final FunctionIdentifier SERIAL_SKEWNESS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "skewness-serial", 1);
+    public static final FunctionIdentifier SERIAL_GLOBAL_SKEWNESS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-skewness-serial", 1);
+    public static final FunctionIdentifier SERIAL_LOCAL_SKEWNESS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-skewness-serial", 1);
+    public static final FunctionIdentifier SERIAL_INTERMEDIATE_SKEWNESS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "intermediate-skewness-serial", 1);
+    public static final FunctionIdentifier SERIAL_KURTOSIS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "kurtosis-serial", 1);
+    public static final FunctionIdentifier SERIAL_GLOBAL_KURTOSIS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-kurtosis-serial", 1);
+    public static final FunctionIdentifier SERIAL_LOCAL_KURTOSIS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-kurtosis-serial", 1);
+    public static final FunctionIdentifier SERIAL_INTERMEDIATE_KURTOSIS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "intermediate-kurtosis-serial", 1);
 
     // distinct aggregate functions
     public static final FunctionIdentifier COUNT_DISTINCT =
@@ -646,22 +692,30 @@
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-min-distinct", 1);
     public static final FunctionIdentifier SCALAR_MIN_DISTINCT =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "min-distinct", 1);
-    public static final FunctionIdentifier STDDEV_DISTINCT =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-stddev-distinct", 1);
-    public static final FunctionIdentifier SCALAR_STDDEV_DISTINCT =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "stddev-distinct", 1);
+    public static final FunctionIdentifier STDDEV_SAMP_DISTINCT =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-stddev_samp-distinct", 1);
+    public static final FunctionIdentifier SCALAR_STDDEV_SAMP_DISTINCT =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "stddev_samp-distinct", 1);
     public static final FunctionIdentifier STDDEV_POP_DISTINCT =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-stddev_pop-distinct", 1);
     public static final FunctionIdentifier SCALAR_STDDEV_POP_DISTINCT =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "stddev_pop-distinct", 1);
-    public static final FunctionIdentifier VAR_DISTINCT =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-var-distinct", 1);
-    public static final FunctionIdentifier SCALAR_VAR_DISTINCT =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "var-distinct", 1);
+    public static final FunctionIdentifier VAR_SAMP_DISTINCT =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-var_samp-distinct", 1);
+    public static final FunctionIdentifier SCALAR_VAR_SAMP_DISTINCT =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "var_samp-distinct", 1);
     public static final FunctionIdentifier VAR_POP_DISTINCT =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-var_pop-distinct", 1);
     public static final FunctionIdentifier SCALAR_VAR_POP_DISTINCT =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "var_pop-distinct", 1);
+    public static final FunctionIdentifier SKEWNESS_DISTINCT =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-skewness-distinct", 1);
+    public static final FunctionIdentifier SCALAR_SKEWNESS_DISTINCT =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "skewness-distinct", 1);
+    public static final FunctionIdentifier KURTOSIS_DISTINCT =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-kurtosis-distinct", 1);
+    public static final FunctionIdentifier SCALAR_KURTOSIS_DISTINCT =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "kurtosis-distinct", 1);
 
     // sql aggregate functions
     public static final FunctionIdentifier SQL_AVG =
@@ -690,14 +744,14 @@
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-global-sql-avg", 1);
     public static final FunctionIdentifier LOCAL_SQL_AVG =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-local-sql-avg", 1);
-    public static final FunctionIdentifier SQL_STDDEV =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-sql-stddev", 1);
-    public static final FunctionIdentifier INTERMEDIATE_SQL_STDDEV =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "intermediate-agg-sql-stddev", 1);
-    public static final FunctionIdentifier GLOBAL_SQL_STDDEV =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-global-sql-stddev", 1);
-    public static final FunctionIdentifier LOCAL_SQL_STDDEV =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-local-sql-stddev", 1);
+    public static final FunctionIdentifier SQL_STDDEV_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-sql-stddev_samp", 1);
+    public static final FunctionIdentifier INTERMEDIATE_SQL_STDDEV_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "intermediate-agg-sql-stddev_samp", 1);
+    public static final FunctionIdentifier GLOBAL_SQL_STDDEV_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-global-sql-stddev_samp", 1);
+    public static final FunctionIdentifier LOCAL_SQL_STDDEV_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-local-sql-stddev_samp", 1);
     public static final FunctionIdentifier SQL_STDDEV_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-sql-stddev_pop", 1);
     public static final FunctionIdentifier INTERMEDIATE_SQL_STDDEV_POP =
@@ -706,14 +760,14 @@
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-global-sql-stddev_pop", 1);
     public static final FunctionIdentifier LOCAL_SQL_STDDEV_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-local-sql-stddev_pop", 1);
-    public static final FunctionIdentifier SQL_VAR =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-sql-var", 1);
-    public static final FunctionIdentifier INTERMEDIATE_SQL_VAR =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "intermediate-agg-sql-var", 1);
-    public static final FunctionIdentifier GLOBAL_SQL_VAR =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-global-sql-var", 1);
-    public static final FunctionIdentifier LOCAL_SQL_VAR =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-local-sql-var", 1);
+    public static final FunctionIdentifier SQL_VAR_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-sql-var_samp", 1);
+    public static final FunctionIdentifier INTERMEDIATE_SQL_VAR_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "intermediate-agg-sql-var_samp", 1);
+    public static final FunctionIdentifier GLOBAL_SQL_VAR_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-global-sql-var_samp", 1);
+    public static final FunctionIdentifier LOCAL_SQL_VAR_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-local-sql-var_samp", 1);
     public static final FunctionIdentifier SQL_VAR_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-sql-var_pop", 1);
     public static final FunctionIdentifier INTERMEDIATE_SQL_VAR_POP =
@@ -722,6 +776,22 @@
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-global-sql-var_pop", 1);
     public static final FunctionIdentifier LOCAL_SQL_VAR_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-local-sql-var_pop", 1);
+    public static final FunctionIdentifier SQL_SKEWNESS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-sql-skewness", 1);
+    public static final FunctionIdentifier INTERMEDIATE_SQL_SKEWNESS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "intermediate-agg-sql-skewness", 1);
+    public static final FunctionIdentifier GLOBAL_SQL_SKEWNESS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-global-sql-skewness", 1);
+    public static final FunctionIdentifier LOCAL_SQL_SKEWNESS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-local-sql-skewness", 1);
+    public static final FunctionIdentifier SQL_KURTOSIS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-sql-kurtosis", 1);
+    public static final FunctionIdentifier INTERMEDIATE_SQL_KURTOSIS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "intermediate-agg-sql-kurtosis", 1);
+    public static final FunctionIdentifier GLOBAL_SQL_KURTOSIS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-global-sql-kurtosis", 1);
+    public static final FunctionIdentifier LOCAL_SQL_KURTOSIS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-local-sql-kurtosis", 1);
 
     public static final FunctionIdentifier SCALAR_SQL_AVG =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-avg", 1);
@@ -737,30 +807,42 @@
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-sql-avg", 1);
     public static final FunctionIdentifier SCALAR_LOCAL_SQL_AVG =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-sql-avg", 1);
-    public static final FunctionIdentifier SCALAR_SQL_STDDEV =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-stddev", 1);
-    public static final FunctionIdentifier SCALAR_GLOBAL_SQL_STDDEV =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-sql-stddev", 1);
-    public static final FunctionIdentifier SCALAR_LOCAL_SQL_STDDEV =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-sql-stddev", 1);
+    public static final FunctionIdentifier SCALAR_SQL_STDDEV_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-stddev_samp", 1);
+    public static final FunctionIdentifier SCALAR_GLOBAL_SQL_STDDEV_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-sql-stddev_samp", 1);
+    public static final FunctionIdentifier SCALAR_LOCAL_SQL_STDDEV_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-sql-stddev_samp", 1);
     public static final FunctionIdentifier SCALAR_SQL_STDDEV_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-stddev_pop", 1);
     public static final FunctionIdentifier SCALAR_GLOBAL_SQL_STDDEV_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-sql-stddev_pop", 1);
     public static final FunctionIdentifier SCALAR_LOCAL_SQL_STDDEV_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-sql-stddev_pop", 1);
-    public static final FunctionIdentifier SCALAR_SQL_VAR =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-var", 1);
-    public static final FunctionIdentifier SCALAR_GLOBAL_SQL_VAR =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-sql-var", 1);
-    public static final FunctionIdentifier SCALAR_LOCAL_SQL_VAR =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-sql-var", 1);
+    public static final FunctionIdentifier SCALAR_SQL_VAR_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-var_samp", 1);
+    public static final FunctionIdentifier SCALAR_GLOBAL_SQL_VAR_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-sql-var_samp", 1);
+    public static final FunctionIdentifier SCALAR_LOCAL_SQL_VAR_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-sql-var_samp", 1);
     public static final FunctionIdentifier SCALAR_SQL_VAR_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-var_pop", 1);
     public static final FunctionIdentifier SCALAR_GLOBAL_SQL_VAR_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-sql-var_pop", 1);
     public static final FunctionIdentifier SCALAR_LOCAL_SQL_VAR_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-sql-var_pop", 1);
+    public static final FunctionIdentifier SCALAR_SQL_SKEWNESS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-skewness", 1);
+    public static final FunctionIdentifier SCALAR_GLOBAL_SQL_SKEWNESS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-sql-skewness", 1);
+    public static final FunctionIdentifier SCALAR_LOCAL_SQL_SKEWNESS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-sql-skewness", 1);
+    public static final FunctionIdentifier SCALAR_SQL_KURTOSIS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-kurtosis", 1);
+    public static final FunctionIdentifier SCALAR_GLOBAL_SQL_KURTOSIS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-sql-kurtosis", 1);
+    public static final FunctionIdentifier SCALAR_LOCAL_SQL_KURTOSIS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-sql-kurtosis", 1);
 
     // serializable sql aggregate functions
     public static final FunctionIdentifier SERIAL_SQL_AVG =
@@ -781,14 +863,14 @@
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "intermediate-sql-avg-serial", 1);
     public static final FunctionIdentifier SERIAL_LOCAL_SQL_AVG =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-sql-avg-serial", 1);
-    public static final FunctionIdentifier SERIAL_SQL_STDDEV =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-stddev-serial", 1);
-    public static final FunctionIdentifier SERIAL_GLOBAL_SQL_STDDEV =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-sql-stddev-serial", 1);
-    public static final FunctionIdentifier SERIAL_INTERMEDIATE_SQL_STDDEV =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "intermediate-sql-stddev-serial", 1);
-    public static final FunctionIdentifier SERIAL_LOCAL_SQL_STDDEV =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-sql-stddev-serial", 1);
+    public static final FunctionIdentifier SERIAL_SQL_STDDEV_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-stddev-serial_samp", 1);
+    public static final FunctionIdentifier SERIAL_GLOBAL_SQL_STDDEV_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-sql-stddev-serial_samp", 1);
+    public static final FunctionIdentifier SERIAL_INTERMEDIATE_SQL_STDDEV_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "intermediate-sql-stddev-serial_samp", 1);
+    public static final FunctionIdentifier SERIAL_LOCAL_SQL_STDDEV_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-sql-stddev-serial_samp", 1);
     public static final FunctionIdentifier SERIAL_SQL_STDDEV_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-stddev_pop-serial", 1);
     public static final FunctionIdentifier SERIAL_GLOBAL_SQL_STDDEV_POP =
@@ -797,14 +879,14 @@
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "intermediate-sql-stddev_pop-serial", 1);
     public static final FunctionIdentifier SERIAL_LOCAL_SQL_STDDEV_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-sql-stddev_pop-serial", 1);
-    public static final FunctionIdentifier SERIAL_SQL_VAR =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-var-serial", 1);
-    public static final FunctionIdentifier SERIAL_GLOBAL_SQL_VAR =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-sql-var-serial", 1);
-    public static final FunctionIdentifier SERIAL_INTERMEDIATE_SQL_VAR =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "intermediate-sql-var-serial", 1);
-    public static final FunctionIdentifier SERIAL_LOCAL_SQL_VAR =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-sql-var-serial", 1);
+    public static final FunctionIdentifier SERIAL_SQL_VAR_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-var_samp-serial", 1);
+    public static final FunctionIdentifier SERIAL_GLOBAL_SQL_VAR_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-sql-var_samp-serial", 1);
+    public static final FunctionIdentifier SERIAL_INTERMEDIATE_SQL_VAR_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "intermediate-sql-var_samp-serial", 1);
+    public static final FunctionIdentifier SERIAL_LOCAL_SQL_VAR_SAMP =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-sql-var_samp-serial", 1);
     public static final FunctionIdentifier SERIAL_SQL_VAR_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-var_pop-serial", 1);
     public static final FunctionIdentifier SERIAL_GLOBAL_SQL_VAR_POP =
@@ -813,6 +895,22 @@
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "intermediate-sql-var_pop-serial", 1);
     public static final FunctionIdentifier SERIAL_LOCAL_SQL_VAR_POP =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-sql-var_pop-serial", 1);
+    public static final FunctionIdentifier SERIAL_SQL_SKEWNESS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-skewness-serial", 1);
+    public static final FunctionIdentifier SERIAL_GLOBAL_SQL_SKEWNESS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-sql-skewness-serial", 1);
+    public static final FunctionIdentifier SERIAL_INTERMEDIATE_SQL_SKEWNESS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "intermediate-sql-skewness-serial", 1);
+    public static final FunctionIdentifier SERIAL_LOCAL_SQL_SKEWNESS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-sql-skewness-serial", 1);
+    public static final FunctionIdentifier SERIAL_SQL_KURTOSIS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-kurtosis-serial", 1);
+    public static final FunctionIdentifier SERIAL_GLOBAL_SQL_KURTOSIS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "global-sql-kurtosis-serial", 1);
+    public static final FunctionIdentifier SERIAL_INTERMEDIATE_SQL_KURTOSIS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "intermediate-sql-kurtosis-serial", 1);
+    public static final FunctionIdentifier SERIAL_LOCAL_SQL_KURTOSIS =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "local-sql-kurtosis-serial", 1);
 
     // distinct sql aggregate functions
     public static final FunctionIdentifier SQL_COUNT_DISTINCT =
@@ -835,22 +933,30 @@
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-sql-min-distinct", 1);
     public static final FunctionIdentifier SCALAR_SQL_MIN_DISTINCT =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-min-distinct", 1);
-    public static final FunctionIdentifier SQL_STDDEV_DISTINCT =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-sql-stddev-distinct", 1);
-    public static final FunctionIdentifier SCALAR_SQL_STDDEV_DISTINCT =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-stddev-distinct", 1);
+    public static final FunctionIdentifier SQL_STDDEV_SAMP_DISTINCT =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-sql-stddev_samp-distinct", 1);
+    public static final FunctionIdentifier SCALAR_SQL_STDDEV_SAMP_DISTINCT =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-stddev_samp-distinct", 1);
     public static final FunctionIdentifier SQL_STDDEV_POP_DISTINCT =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-sql-stddev_pop-distinct", 1);
     public static final FunctionIdentifier SCALAR_SQL_STDDEV_POP_DISTINCT =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-stddev_pop-distinct", 1);
-    public static final FunctionIdentifier SQL_VAR_DISTINCT =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-sql-var-distinct", 1);
-    public static final FunctionIdentifier SCALAR_SQL_VAR_DISTINCT =
-            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-var-distinct", 1);
+    public static final FunctionIdentifier SQL_VAR_SAMP_DISTINCT =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-sql-var_samp-distinct", 1);
+    public static final FunctionIdentifier SCALAR_SQL_VAR_SAMP_DISTINCT =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-var_samp-distinct", 1);
     public static final FunctionIdentifier SQL_VAR_POP_DISTINCT =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-sql-var_pop-distinct", 1);
     public static final FunctionIdentifier SCALAR_SQL_VAR_POP_DISTINCT =
             new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-var_pop-distinct", 1);
+    public static final FunctionIdentifier SQL_SKEWNESS_DISTINCT =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-sql-skewness-distinct", 1);
+    public static final FunctionIdentifier SCALAR_SQL_SKEWNESS_DISTINCT =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-skewness-distinct", 1);
+    public static final FunctionIdentifier SQL_KURTOSIS_DISTINCT =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "agg-sql-kurtosis-distinct", 1);
+    public static final FunctionIdentifier SCALAR_SQL_KURTOSIS_DISTINCT =
+            new FunctionIdentifier(FunctionConstants.ASTERIX_NS, "sql-kurtosis-distinct", 1);
 
     // window functions
     public static final FunctionIdentifier CUME_DIST =
@@ -1647,20 +1753,26 @@
         addPrivateFunction(FIRST_ELEMENT, PropagateTypeComputer.INSTANCE_NULLABLE, true);
         addPrivateFunction(LOCAL_FIRST_ELEMENT, PropagateTypeComputer.INSTANCE_NULLABLE, true);
         addPrivateFunction(LAST_ELEMENT, PropagateTypeComputer.INSTANCE_NULLABLE, true);
-        addPrivateFunction(LOCAL_STDDEV, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
-        addFunction(STDDEV, NullableDoubleTypeComputer.INSTANCE, true);
-        addPrivateFunction(GLOBAL_STDDEV, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(LOCAL_STDDEV_SAMP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addFunction(STDDEV_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(GLOBAL_STDDEV_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
         addPrivateFunction(LOCAL_SAMPLING, ListOfSamplesTypeComputer.INSTANCE, true);
         addPrivateFunction(RANGE_MAP, ABinaryTypeComputer.INSTANCE, true);
         addPrivateFunction(LOCAL_STDDEV_POP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
         addFunction(STDDEV_POP, NullableDoubleTypeComputer.INSTANCE, true);
         addPrivateFunction(GLOBAL_STDDEV_POP, NullableDoubleTypeComputer.INSTANCE, true);
-        addPrivateFunction(LOCAL_VAR, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
-        addFunction(VAR, NullableDoubleTypeComputer.INSTANCE, true);
-        addPrivateFunction(GLOBAL_VAR, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(LOCAL_VAR_SAMP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addFunction(VAR_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(GLOBAL_VAR_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
         addPrivateFunction(LOCAL_VAR_POP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
         addFunction(VAR_POP, NullableDoubleTypeComputer.INSTANCE, true);
         addPrivateFunction(GLOBAL_VAR_POP, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(LOCAL_SKEWNESS, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addFunction(SKEWNESS, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(GLOBAL_SKEWNESS, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(LOCAL_KURTOSIS, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addFunction(KURTOSIS, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(GLOBAL_KURTOSIS, NullableDoubleTypeComputer.INSTANCE, true);
 
         // SUM
         addFunction(SUM, NumericSumAggTypeComputer.INSTANCE, true);
@@ -1685,14 +1797,14 @@
         addFunction(SCALAR_MAX, ScalarVersionOfAggregateResultType.INSTANCE, true);
         addFunction(SCALAR_MIN, ScalarVersionOfAggregateResultType.INSTANCE, true);
         addPrivateFunction(INTERMEDIATE_AVG, LocalAvgTypeComputer.INSTANCE, true);
-        addFunction(SCALAR_STDDEV, NullableDoubleTypeComputer.INSTANCE, true);
-        addPrivateFunction(SCALAR_GLOBAL_STDDEV, NullableDoubleTypeComputer.INSTANCE, true);
-        addPrivateFunction(SCALAR_LOCAL_STDDEV, NullableDoubleTypeComputer.INSTANCE, true);
-        addPrivateFunction(INTERMEDIATE_STDDEV, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
-        addPrivateFunction(SERIAL_SQL_STDDEV, NullableDoubleTypeComputer.INSTANCE, true);
-        addPrivateFunction(SERIAL_GLOBAL_SQL_STDDEV, NullableDoubleTypeComputer.INSTANCE, true);
-        addPrivateFunction(SERIAL_LOCAL_SQL_STDDEV, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
-        addPrivateFunction(SERIAL_INTERMEDIATE_SQL_STDDEV, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addFunction(SCALAR_STDDEV_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SCALAR_GLOBAL_STDDEV_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SCALAR_LOCAL_STDDEV_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(INTERMEDIATE_STDDEV_SAMP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_SQL_STDDEV_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_GLOBAL_SQL_STDDEV_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_LOCAL_SQL_STDDEV_SAMP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_INTERMEDIATE_SQL_STDDEV_SAMP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
         addFunction(SCALAR_STDDEV_POP, NullableDoubleTypeComputer.INSTANCE, true);
         addPrivateFunction(SCALAR_GLOBAL_STDDEV_POP, NullableDoubleTypeComputer.INSTANCE, true);
         addPrivateFunction(SCALAR_LOCAL_STDDEV_POP, NullableDoubleTypeComputer.INSTANCE, true);
@@ -1701,14 +1813,14 @@
         addPrivateFunction(SERIAL_GLOBAL_SQL_STDDEV_POP, NullableDoubleTypeComputer.INSTANCE, true);
         addPrivateFunction(SERIAL_LOCAL_SQL_STDDEV_POP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
         addPrivateFunction(SERIAL_INTERMEDIATE_SQL_STDDEV_POP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
-        addFunction(SCALAR_VAR, NullableDoubleTypeComputer.INSTANCE, true);
-        addPrivateFunction(SCALAR_GLOBAL_VAR, NullableDoubleTypeComputer.INSTANCE, true);
-        addPrivateFunction(SCALAR_LOCAL_VAR, NullableDoubleTypeComputer.INSTANCE, true);
-        addPrivateFunction(INTERMEDIATE_VAR, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
-        addPrivateFunction(SERIAL_SQL_VAR, NullableDoubleTypeComputer.INSTANCE, true);
-        addPrivateFunction(SERIAL_GLOBAL_SQL_VAR, NullableDoubleTypeComputer.INSTANCE, true);
-        addPrivateFunction(SERIAL_LOCAL_SQL_VAR, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
-        addPrivateFunction(SERIAL_INTERMEDIATE_SQL_VAR, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addFunction(SCALAR_VAR_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SCALAR_GLOBAL_VAR_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SCALAR_LOCAL_VAR_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(INTERMEDIATE_VAR_SAMP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_SQL_VAR_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_GLOBAL_SQL_VAR_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_LOCAL_SQL_VAR_SAMP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_INTERMEDIATE_SQL_VAR_SAMP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
         addFunction(SCALAR_VAR_POP, NullableDoubleTypeComputer.INSTANCE, true);
         addPrivateFunction(SCALAR_GLOBAL_VAR_POP, NullableDoubleTypeComputer.INSTANCE, true);
         addPrivateFunction(SCALAR_LOCAL_VAR_POP, NullableDoubleTypeComputer.INSTANCE, true);
@@ -1717,6 +1829,22 @@
         addPrivateFunction(SERIAL_GLOBAL_SQL_VAR_POP, NullableDoubleTypeComputer.INSTANCE, true);
         addPrivateFunction(SERIAL_LOCAL_SQL_VAR_POP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
         addPrivateFunction(SERIAL_INTERMEDIATE_SQL_VAR_POP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addFunction(SCALAR_SKEWNESS, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SCALAR_GLOBAL_SKEWNESS, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SCALAR_LOCAL_SKEWNESS, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(INTERMEDIATE_SKEWNESS, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_SQL_SKEWNESS, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_GLOBAL_SQL_SKEWNESS, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_LOCAL_SQL_SKEWNESS, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_INTERMEDIATE_SQL_SKEWNESS, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addFunction(SCALAR_KURTOSIS, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SCALAR_GLOBAL_KURTOSIS, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SCALAR_LOCAL_KURTOSIS, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(INTERMEDIATE_KURTOSIS, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_SQL_KURTOSIS, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_GLOBAL_SQL_KURTOSIS, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_LOCAL_SQL_KURTOSIS, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_INTERMEDIATE_SQL_KURTOSIS, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
 
         // SQL SUM
         addFunction(SQL_SUM, NumericSumAggTypeComputer.INSTANCE, true);
@@ -1745,13 +1873,13 @@
         addFunction(SCALAR_SQL_MAX, ScalarVersionOfAggregateResultType.INSTANCE, true);
         addFunction(SCALAR_SQL_MIN, ScalarVersionOfAggregateResultType.INSTANCE, true);
         addPrivateFunction(INTERMEDIATE_SQL_AVG, LocalAvgTypeComputer.INSTANCE, true);
-        addFunction(SQL_STDDEV, NullableDoubleTypeComputer.INSTANCE, true);
-        addPrivateFunction(GLOBAL_SQL_STDDEV, NullableDoubleTypeComputer.INSTANCE, true);
-        addPrivateFunction(LOCAL_SQL_STDDEV, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
-        addPrivateFunction(INTERMEDIATE_SQL_STDDEV, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
-        addFunction(SCALAR_SQL_STDDEV, NullableDoubleTypeComputer.INSTANCE, true);
-        addPrivateFunction(SCALAR_GLOBAL_SQL_STDDEV, NullableDoubleTypeComputer.INSTANCE, true);
-        addPrivateFunction(SCALAR_LOCAL_SQL_STDDEV, NullableDoubleTypeComputer.INSTANCE, true);
+        addFunction(SQL_STDDEV_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(GLOBAL_SQL_STDDEV_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(LOCAL_SQL_STDDEV_SAMP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addPrivateFunction(INTERMEDIATE_SQL_STDDEV_SAMP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addFunction(SCALAR_SQL_STDDEV_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SCALAR_GLOBAL_SQL_STDDEV_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SCALAR_LOCAL_SQL_STDDEV_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
         addFunction(SQL_STDDEV_POP, NullableDoubleTypeComputer.INSTANCE, true);
         addPrivateFunction(GLOBAL_SQL_STDDEV_POP, NullableDoubleTypeComputer.INSTANCE, true);
         addPrivateFunction(LOCAL_SQL_STDDEV_POP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
@@ -1759,13 +1887,13 @@
         addFunction(SCALAR_SQL_STDDEV_POP, NullableDoubleTypeComputer.INSTANCE, true);
         addPrivateFunction(SCALAR_GLOBAL_SQL_STDDEV_POP, NullableDoubleTypeComputer.INSTANCE, true);
         addPrivateFunction(SCALAR_LOCAL_SQL_STDDEV_POP, NullableDoubleTypeComputer.INSTANCE, true);
-        addFunction(SQL_VAR, NullableDoubleTypeComputer.INSTANCE, true);
-        addPrivateFunction(GLOBAL_SQL_VAR, NullableDoubleTypeComputer.INSTANCE, true);
-        addPrivateFunction(LOCAL_SQL_VAR, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
-        addPrivateFunction(INTERMEDIATE_SQL_VAR, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
-        addFunction(SCALAR_SQL_VAR, NullableDoubleTypeComputer.INSTANCE, true);
-        addPrivateFunction(SCALAR_GLOBAL_SQL_VAR, NullableDoubleTypeComputer.INSTANCE, true);
-        addPrivateFunction(SCALAR_LOCAL_SQL_VAR, NullableDoubleTypeComputer.INSTANCE, true);
+        addFunction(SQL_VAR_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(GLOBAL_SQL_VAR_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(LOCAL_SQL_VAR_SAMP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addPrivateFunction(INTERMEDIATE_SQL_VAR_SAMP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addFunction(SCALAR_SQL_VAR_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SCALAR_GLOBAL_SQL_VAR_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SCALAR_LOCAL_SQL_VAR_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
         addFunction(SQL_VAR_POP, NullableDoubleTypeComputer.INSTANCE, true);
         addPrivateFunction(GLOBAL_SQL_VAR_POP, NullableDoubleTypeComputer.INSTANCE, true);
         addPrivateFunction(LOCAL_SQL_VAR_POP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
@@ -1773,28 +1901,52 @@
         addFunction(SCALAR_SQL_VAR_POP, NullableDoubleTypeComputer.INSTANCE, true);
         addPrivateFunction(SCALAR_GLOBAL_SQL_VAR_POP, NullableDoubleTypeComputer.INSTANCE, true);
         addPrivateFunction(SCALAR_LOCAL_SQL_VAR_POP, NullableDoubleTypeComputer.INSTANCE, true);
+        addFunction(SQL_SKEWNESS, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(GLOBAL_SQL_SKEWNESS, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(LOCAL_SQL_SKEWNESS, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addPrivateFunction(INTERMEDIATE_SQL_SKEWNESS, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addFunction(SCALAR_SQL_SKEWNESS, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SCALAR_GLOBAL_SQL_SKEWNESS, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SCALAR_LOCAL_SQL_SKEWNESS, NullableDoubleTypeComputer.INSTANCE, true);
+        addFunction(SQL_KURTOSIS, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(GLOBAL_SQL_KURTOSIS, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(LOCAL_SQL_KURTOSIS, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addPrivateFunction(INTERMEDIATE_SQL_KURTOSIS, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addFunction(SCALAR_SQL_KURTOSIS, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SCALAR_GLOBAL_SQL_KURTOSIS, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SCALAR_LOCAL_SQL_KURTOSIS, NullableDoubleTypeComputer.INSTANCE, true);
 
         addPrivateFunction(SERIAL_AVG, NullableDoubleTypeComputer.INSTANCE, true);
         addPrivateFunction(SERIAL_COUNT, AInt64TypeComputer.INSTANCE, true);
         addPrivateFunction(SERIAL_GLOBAL_AVG, NullableDoubleTypeComputer.INSTANCE, true);
         addPrivateFunction(SERIAL_LOCAL_AVG, LocalAvgTypeComputer.INSTANCE, true);
         addPrivateFunction(SERIAL_INTERMEDIATE_AVG, LocalAvgTypeComputer.INSTANCE, true);
-        addPrivateFunction(SERIAL_STDDEV, NullableDoubleTypeComputer.INSTANCE, true);
-        addPrivateFunction(SERIAL_GLOBAL_STDDEV, NullableDoubleTypeComputer.INSTANCE, true);
-        addPrivateFunction(SERIAL_LOCAL_STDDEV, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
-        addPrivateFunction(SERIAL_INTERMEDIATE_STDDEV, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_SUM, NumericSumAggTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_LOCAL_SUM, NumericSumAggTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_STDDEV_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_GLOBAL_STDDEV_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_LOCAL_STDDEV_SAMP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_INTERMEDIATE_STDDEV_SAMP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
         addPrivateFunction(SERIAL_STDDEV_POP, NullableDoubleTypeComputer.INSTANCE, true);
         addPrivateFunction(SERIAL_GLOBAL_STDDEV_POP, NullableDoubleTypeComputer.INSTANCE, true);
         addPrivateFunction(SERIAL_LOCAL_STDDEV_POP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
         addPrivateFunction(SERIAL_INTERMEDIATE_STDDEV_POP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
-        addPrivateFunction(SERIAL_VAR, NullableDoubleTypeComputer.INSTANCE, true);
-        addPrivateFunction(SERIAL_GLOBAL_VAR, NullableDoubleTypeComputer.INSTANCE, true);
-        addPrivateFunction(SERIAL_LOCAL_VAR, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
-        addPrivateFunction(SERIAL_INTERMEDIATE_VAR, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_VAR_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_GLOBAL_VAR_SAMP, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_LOCAL_VAR_SAMP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_INTERMEDIATE_VAR_SAMP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
         addPrivateFunction(SERIAL_VAR_POP, NullableDoubleTypeComputer.INSTANCE, true);
         addPrivateFunction(SERIAL_GLOBAL_VAR_POP, NullableDoubleTypeComputer.INSTANCE, true);
         addPrivateFunction(SERIAL_LOCAL_VAR_POP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
         addPrivateFunction(SERIAL_INTERMEDIATE_VAR_POP, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_SKEWNESS, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_GLOBAL_SKEWNESS, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_LOCAL_SKEWNESS, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_INTERMEDIATE_SKEWNESS, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_KURTOSIS, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_GLOBAL_KURTOSIS, NullableDoubleTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_LOCAL_KURTOSIS, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
+        addPrivateFunction(SERIAL_INTERMEDIATE_KURTOSIS, LocalSingleVarStatisticsTypeComputer.INSTANCE, true);
 
         // Distinct aggregate functions
 
@@ -1823,26 +1975,36 @@
         addFunction(SQL_MIN_DISTINCT, MinMaxAggTypeComputer.INSTANCE, true);
         addFunction(SCALAR_SQL_MIN_DISTINCT, ScalarVersionOfAggregateResultType.INSTANCE, true);
 
-        addFunction(STDDEV_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
-        addFunction(SCALAR_STDDEV_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
-        addFunction(SQL_STDDEV_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
-        addFunction(SCALAR_SQL_STDDEV_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
+        addFunction(STDDEV_SAMP_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
+        addFunction(SCALAR_STDDEV_SAMP_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
+        addFunction(SQL_STDDEV_SAMP_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
+        addFunction(SCALAR_SQL_STDDEV_SAMP_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
 
         addFunction(STDDEV_POP_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
         addFunction(SCALAR_STDDEV_POP_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
         addFunction(SQL_STDDEV_POP_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
         addFunction(SCALAR_SQL_STDDEV_POP_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
 
-        addFunction(VAR_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
-        addFunction(SCALAR_VAR_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
-        addFunction(SQL_VAR_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
-        addFunction(SCALAR_SQL_VAR_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
+        addFunction(VAR_SAMP_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
+        addFunction(SCALAR_VAR_SAMP_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
+        addFunction(SQL_VAR_SAMP_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
+        addFunction(SCALAR_SQL_VAR_SAMP_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
 
         addFunction(VAR_POP_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
         addFunction(SCALAR_VAR_POP_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
         addFunction(SQL_VAR_POP_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
         addFunction(SCALAR_SQL_VAR_POP_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
 
+        addFunction(SKEWNESS_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
+        addFunction(SCALAR_SKEWNESS_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
+        addFunction(SQL_SKEWNESS_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
+        addFunction(SCALAR_SQL_SKEWNESS_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
+
+        addFunction(KURTOSIS_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
+        addFunction(SCALAR_KURTOSIS_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
+        addFunction(SQL_KURTOSIS_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
+        addFunction(SCALAR_SQL_KURTOSIS_DISTINCT, NullableDoubleTypeComputer.INSTANCE, true);
+
         // Window functions
 
         addFunction(CUME_DIST, ADoubleTypeComputer.INSTANCE, false);
@@ -2196,37 +2358,37 @@
         addDistinctAgg(MAX_DISTINCT, SCALAR_MAX);
         addScalarAgg(MAX_DISTINCT, SCALAR_MAX_DISTINCT);
 
-        // STDDEV
+        // STDDEV_SAMP
 
-        addAgg(STDDEV);
-        addAgg(LOCAL_STDDEV);
-        addAgg(GLOBAL_STDDEV);
-        addLocalAgg(STDDEV, LOCAL_STDDEV);
-        addIntermediateAgg(STDDEV, INTERMEDIATE_STDDEV);
-        addIntermediateAgg(LOCAL_STDDEV, INTERMEDIATE_STDDEV);
-        addIntermediateAgg(GLOBAL_STDDEV, INTERMEDIATE_STDDEV);
-        addGlobalAgg(STDDEV, GLOBAL_STDDEV);
+        addAgg(STDDEV_SAMP);
+        addAgg(LOCAL_STDDEV_SAMP);
+        addAgg(GLOBAL_STDDEV_SAMP);
+        addLocalAgg(STDDEV_SAMP, LOCAL_STDDEV_SAMP);
+        addIntermediateAgg(STDDEV_SAMP, INTERMEDIATE_STDDEV_SAMP);
+        addIntermediateAgg(LOCAL_STDDEV_SAMP, INTERMEDIATE_STDDEV_SAMP);
+        addIntermediateAgg(GLOBAL_STDDEV_SAMP, INTERMEDIATE_STDDEV_SAMP);
+        addGlobalAgg(STDDEV_SAMP, GLOBAL_STDDEV_SAMP);
 
-        addScalarAgg(STDDEV, SCALAR_STDDEV);
-        addScalarAgg(GLOBAL_STDDEV, SCALAR_GLOBAL_STDDEV);
-        addScalarAgg(LOCAL_STDDEV, SCALAR_LOCAL_STDDEV);
+        addScalarAgg(STDDEV_SAMP, SCALAR_STDDEV_SAMP);
+        addScalarAgg(GLOBAL_STDDEV_SAMP, SCALAR_GLOBAL_STDDEV_SAMP);
+        addScalarAgg(LOCAL_STDDEV_SAMP, SCALAR_LOCAL_STDDEV_SAMP);
 
-        addSerialAgg(STDDEV, SERIAL_STDDEV);
-        addSerialAgg(LOCAL_STDDEV, SERIAL_LOCAL_STDDEV);
-        addSerialAgg(GLOBAL_STDDEV, SERIAL_GLOBAL_STDDEV);
-        addAgg(SERIAL_STDDEV);
-        addAgg(SERIAL_LOCAL_STDDEV);
-        addAgg(SERIAL_GLOBAL_STDDEV);
-        addLocalAgg(SERIAL_STDDEV, SERIAL_LOCAL_STDDEV);
-        addIntermediateAgg(SERIAL_STDDEV, SERIAL_INTERMEDIATE_STDDEV);
-        addIntermediateAgg(SERIAL_LOCAL_STDDEV, SERIAL_INTERMEDIATE_STDDEV);
-        addIntermediateAgg(SERIAL_GLOBAL_STDDEV, SERIAL_INTERMEDIATE_STDDEV);
-        addGlobalAgg(SERIAL_STDDEV, SERIAL_GLOBAL_STDDEV);
+        addSerialAgg(STDDEV_SAMP, SERIAL_STDDEV_SAMP);
+        addSerialAgg(LOCAL_STDDEV_SAMP, SERIAL_LOCAL_STDDEV_SAMP);
+        addSerialAgg(GLOBAL_STDDEV_SAMP, SERIAL_GLOBAL_STDDEV_SAMP);
+        addAgg(SERIAL_STDDEV_SAMP);
+        addAgg(SERIAL_LOCAL_STDDEV_SAMP);
+        addAgg(SERIAL_GLOBAL_STDDEV_SAMP);
+        addLocalAgg(SERIAL_STDDEV_SAMP, SERIAL_LOCAL_STDDEV_SAMP);
+        addIntermediateAgg(SERIAL_STDDEV_SAMP, SERIAL_INTERMEDIATE_STDDEV_SAMP);
+        addIntermediateAgg(SERIAL_LOCAL_STDDEV_SAMP, SERIAL_INTERMEDIATE_STDDEV_SAMP);
+        addIntermediateAgg(SERIAL_GLOBAL_STDDEV_SAMP, SERIAL_INTERMEDIATE_STDDEV_SAMP);
+        addGlobalAgg(SERIAL_STDDEV_SAMP, SERIAL_GLOBAL_STDDEV_SAMP);
 
-        // STDDEV DISTINCT
+        // STDDEV_SAMP DISTINCT
 
-        addDistinctAgg(STDDEV_DISTINCT, SCALAR_STDDEV);
-        addScalarAgg(STDDEV_DISTINCT, SCALAR_STDDEV_DISTINCT);
+        addDistinctAgg(STDDEV_SAMP_DISTINCT, SCALAR_STDDEV_SAMP);
+        addScalarAgg(STDDEV_SAMP_DISTINCT, SCALAR_STDDEV_SAMP_DISTINCT);
 
         // STDDEV_POP
 
@@ -2260,37 +2422,37 @@
         addDistinctAgg(STDDEV_POP_DISTINCT, SCALAR_STDDEV_POP);
         addScalarAgg(STDDEV_POP_DISTINCT, SCALAR_STDDEV_POP_DISTINCT);
 
-        // VAR
+        // VAR_SAMP
 
-        addAgg(VAR);
-        addAgg(LOCAL_VAR);
-        addAgg(GLOBAL_VAR);
-        addLocalAgg(VAR, LOCAL_VAR);
-        addIntermediateAgg(VAR, INTERMEDIATE_VAR);
-        addIntermediateAgg(LOCAL_VAR, INTERMEDIATE_VAR);
-        addIntermediateAgg(GLOBAL_VAR, INTERMEDIATE_VAR);
-        addGlobalAgg(VAR, GLOBAL_VAR);
+        addAgg(VAR_SAMP);
+        addAgg(LOCAL_VAR_SAMP);
+        addAgg(GLOBAL_VAR_SAMP);
+        addLocalAgg(VAR_SAMP, LOCAL_VAR_SAMP);
+        addIntermediateAgg(VAR_SAMP, INTERMEDIATE_VAR_SAMP);
+        addIntermediateAgg(LOCAL_VAR_SAMP, INTERMEDIATE_VAR_SAMP);
+        addIntermediateAgg(GLOBAL_VAR_SAMP, INTERMEDIATE_VAR_SAMP);
+        addGlobalAgg(VAR_SAMP, GLOBAL_VAR_SAMP);
 
-        addScalarAgg(VAR, SCALAR_VAR);
-        addScalarAgg(GLOBAL_VAR, SCALAR_GLOBAL_VAR);
-        addScalarAgg(LOCAL_VAR, SCALAR_LOCAL_VAR);
+        addScalarAgg(VAR_SAMP, SCALAR_VAR_SAMP);
+        addScalarAgg(GLOBAL_VAR_SAMP, SCALAR_GLOBAL_VAR_SAMP);
+        addScalarAgg(LOCAL_VAR_SAMP, SCALAR_LOCAL_VAR_SAMP);
 
-        addSerialAgg(VAR, SERIAL_VAR);
-        addSerialAgg(LOCAL_VAR, SERIAL_LOCAL_VAR);
-        addSerialAgg(GLOBAL_VAR, SERIAL_GLOBAL_VAR);
-        addAgg(SERIAL_VAR);
-        addAgg(SERIAL_LOCAL_VAR);
-        addAgg(SERIAL_GLOBAL_VAR);
-        addLocalAgg(SERIAL_VAR, SERIAL_LOCAL_VAR);
-        addIntermediateAgg(SERIAL_VAR, SERIAL_INTERMEDIATE_VAR);
-        addIntermediateAgg(SERIAL_LOCAL_VAR, SERIAL_INTERMEDIATE_VAR);
-        addIntermediateAgg(SERIAL_GLOBAL_VAR, SERIAL_INTERMEDIATE_VAR);
-        addGlobalAgg(SERIAL_VAR, SERIAL_GLOBAL_VAR);
+        addSerialAgg(VAR_SAMP, SERIAL_VAR_SAMP);
+        addSerialAgg(LOCAL_VAR_SAMP, SERIAL_LOCAL_VAR_SAMP);
+        addSerialAgg(GLOBAL_VAR_SAMP, SERIAL_GLOBAL_VAR_SAMP);
+        addAgg(SERIAL_VAR_SAMP);
+        addAgg(SERIAL_LOCAL_VAR_SAMP);
+        addAgg(SERIAL_GLOBAL_VAR_SAMP);
+        addLocalAgg(SERIAL_VAR_SAMP, SERIAL_LOCAL_VAR_SAMP);
+        addIntermediateAgg(SERIAL_VAR_SAMP, SERIAL_INTERMEDIATE_VAR_SAMP);
+        addIntermediateAgg(SERIAL_LOCAL_VAR_SAMP, SERIAL_INTERMEDIATE_VAR_SAMP);
+        addIntermediateAgg(SERIAL_GLOBAL_VAR_SAMP, SERIAL_INTERMEDIATE_VAR_SAMP);
+        addGlobalAgg(SERIAL_VAR_SAMP, SERIAL_GLOBAL_VAR_SAMP);
 
-        // VAR DISTINCT
+        // VAR_SAMP DISTINCT
 
-        addDistinctAgg(VAR_DISTINCT, SCALAR_VAR);
-        addScalarAgg(VAR_DISTINCT, SCALAR_VAR_DISTINCT);
+        addDistinctAgg(VAR_SAMP_DISTINCT, SCALAR_VAR_SAMP);
+        addScalarAgg(VAR_SAMP_DISTINCT, SCALAR_VAR_SAMP_DISTINCT);
 
         // VAR_POP
 
@@ -2324,6 +2486,70 @@
         addDistinctAgg(VAR_POP_DISTINCT, SCALAR_VAR_POP);
         addScalarAgg(VAR_POP_DISTINCT, SCALAR_VAR_POP_DISTINCT);
 
+        // SKEWNESS
+
+        addAgg(SKEWNESS);
+        addAgg(LOCAL_SKEWNESS);
+        addAgg(GLOBAL_SKEWNESS);
+        addLocalAgg(SKEWNESS, LOCAL_SKEWNESS);
+        addIntermediateAgg(SKEWNESS, INTERMEDIATE_SKEWNESS);
+        addIntermediateAgg(LOCAL_SKEWNESS, INTERMEDIATE_SKEWNESS);
+        addIntermediateAgg(GLOBAL_SKEWNESS, INTERMEDIATE_SKEWNESS);
+        addGlobalAgg(SKEWNESS, GLOBAL_SKEWNESS);
+
+        addScalarAgg(SKEWNESS, SCALAR_SKEWNESS);
+        addScalarAgg(GLOBAL_SKEWNESS, SCALAR_GLOBAL_SKEWNESS);
+        addScalarAgg(LOCAL_SKEWNESS, SCALAR_LOCAL_SKEWNESS);
+
+        addSerialAgg(SKEWNESS, SERIAL_SKEWNESS);
+        addSerialAgg(LOCAL_SKEWNESS, SERIAL_LOCAL_SKEWNESS);
+        addSerialAgg(GLOBAL_SKEWNESS, SERIAL_GLOBAL_SKEWNESS);
+        addAgg(SERIAL_SKEWNESS);
+        addAgg(SERIAL_LOCAL_SKEWNESS);
+        addAgg(SERIAL_GLOBAL_SKEWNESS);
+        addLocalAgg(SERIAL_SKEWNESS, SERIAL_LOCAL_SKEWNESS);
+        addIntermediateAgg(SERIAL_SKEWNESS, SERIAL_INTERMEDIATE_SKEWNESS);
+        addIntermediateAgg(SERIAL_LOCAL_SKEWNESS, SERIAL_INTERMEDIATE_SKEWNESS);
+        addIntermediateAgg(SERIAL_GLOBAL_SKEWNESS, SERIAL_INTERMEDIATE_SKEWNESS);
+        addGlobalAgg(SERIAL_SKEWNESS, SERIAL_GLOBAL_SKEWNESS);
+
+        // SKEWNESS DISTINCT
+
+        addDistinctAgg(SKEWNESS_DISTINCT, SCALAR_SKEWNESS);
+        addScalarAgg(SKEWNESS_DISTINCT, SCALAR_SKEWNESS_DISTINCT);
+
+        // KURTOSIS
+
+        addAgg(KURTOSIS);
+        addAgg(LOCAL_KURTOSIS);
+        addAgg(GLOBAL_KURTOSIS);
+        addLocalAgg(KURTOSIS, LOCAL_KURTOSIS);
+        addIntermediateAgg(KURTOSIS, INTERMEDIATE_KURTOSIS);
+        addIntermediateAgg(LOCAL_KURTOSIS, INTERMEDIATE_KURTOSIS);
+        addIntermediateAgg(GLOBAL_KURTOSIS, INTERMEDIATE_KURTOSIS);
+        addGlobalAgg(KURTOSIS, GLOBAL_KURTOSIS);
+
+        addScalarAgg(KURTOSIS, SCALAR_KURTOSIS);
+        addScalarAgg(GLOBAL_KURTOSIS, SCALAR_GLOBAL_KURTOSIS);
+        addScalarAgg(LOCAL_KURTOSIS, SCALAR_LOCAL_KURTOSIS);
+
+        addSerialAgg(KURTOSIS, SERIAL_KURTOSIS);
+        addSerialAgg(LOCAL_KURTOSIS, SERIAL_LOCAL_KURTOSIS);
+        addSerialAgg(GLOBAL_KURTOSIS, SERIAL_GLOBAL_KURTOSIS);
+        addAgg(SERIAL_KURTOSIS);
+        addAgg(SERIAL_LOCAL_KURTOSIS);
+        addAgg(SERIAL_GLOBAL_KURTOSIS);
+        addLocalAgg(SERIAL_KURTOSIS, SERIAL_LOCAL_KURTOSIS);
+        addIntermediateAgg(SERIAL_KURTOSIS, SERIAL_INTERMEDIATE_KURTOSIS);
+        addIntermediateAgg(SERIAL_LOCAL_KURTOSIS, SERIAL_INTERMEDIATE_KURTOSIS);
+        addIntermediateAgg(SERIAL_GLOBAL_KURTOSIS, SERIAL_INTERMEDIATE_KURTOSIS);
+        addGlobalAgg(SERIAL_KURTOSIS, SERIAL_GLOBAL_KURTOSIS);
+
+        // KURTOSIS DISTINCT
+
+        addDistinctAgg(KURTOSIS_DISTINCT, SCALAR_KURTOSIS);
+        addScalarAgg(KURTOSIS_DISTINCT, SCALAR_KURTOSIS_DISTINCT);
+
         // FIRST_ELEMENT
 
         addAgg(FIRST_ELEMENT);
@@ -2424,32 +2650,32 @@
         addIntermediateAgg(SERIAL_GLOBAL_SQL_AVG, SERIAL_INTERMEDIATE_SQL_AVG);
         addGlobalAgg(SERIAL_SQL_AVG, SERIAL_GLOBAL_SQL_AVG);
 
-        // SQL STDDEV
+        // SQL STDDEV_SAMP
 
-        addAgg(SQL_STDDEV);
-        addAgg(LOCAL_SQL_STDDEV);
-        addAgg(GLOBAL_SQL_STDDEV);
-        addLocalAgg(SQL_STDDEV, LOCAL_SQL_STDDEV);
-        addIntermediateAgg(SQL_STDDEV, INTERMEDIATE_SQL_STDDEV);
-        addIntermediateAgg(LOCAL_SQL_STDDEV, INTERMEDIATE_SQL_STDDEV);
-        addIntermediateAgg(GLOBAL_SQL_STDDEV, INTERMEDIATE_SQL_STDDEV);
-        addGlobalAgg(SQL_STDDEV, GLOBAL_SQL_STDDEV);
+        addAgg(SQL_STDDEV_SAMP);
+        addAgg(LOCAL_SQL_STDDEV_SAMP);
+        addAgg(GLOBAL_SQL_STDDEV_SAMP);
+        addLocalAgg(SQL_STDDEV_SAMP, LOCAL_SQL_STDDEV_SAMP);
+        addIntermediateAgg(SQL_STDDEV_SAMP, INTERMEDIATE_SQL_STDDEV_SAMP);
+        addIntermediateAgg(LOCAL_SQL_STDDEV_SAMP, INTERMEDIATE_SQL_STDDEV_SAMP);
+        addIntermediateAgg(GLOBAL_SQL_STDDEV_SAMP, INTERMEDIATE_SQL_STDDEV_SAMP);
+        addGlobalAgg(SQL_STDDEV_SAMP, GLOBAL_SQL_STDDEV_SAMP);
 
-        addScalarAgg(SQL_STDDEV, SCALAR_SQL_STDDEV);
-        addScalarAgg(GLOBAL_SQL_STDDEV, SCALAR_GLOBAL_SQL_STDDEV);
-        addScalarAgg(LOCAL_SQL_STDDEV, SCALAR_LOCAL_SQL_STDDEV);
+        addScalarAgg(SQL_STDDEV_SAMP, SCALAR_SQL_STDDEV_SAMP);
+        addScalarAgg(GLOBAL_SQL_STDDEV_SAMP, SCALAR_GLOBAL_SQL_STDDEV_SAMP);
+        addScalarAgg(LOCAL_SQL_STDDEV_SAMP, SCALAR_LOCAL_SQL_STDDEV_SAMP);
 
-        addSerialAgg(SQL_STDDEV, SERIAL_SQL_STDDEV);
-        addSerialAgg(LOCAL_SQL_STDDEV, SERIAL_LOCAL_SQL_STDDEV);
-        addSerialAgg(GLOBAL_SQL_STDDEV, SERIAL_GLOBAL_SQL_STDDEV);
-        addAgg(SERIAL_SQL_STDDEV);
-        addAgg(SERIAL_LOCAL_SQL_STDDEV);
-        addAgg(SERIAL_GLOBAL_SQL_STDDEV);
-        addLocalAgg(SERIAL_SQL_STDDEV, SERIAL_LOCAL_SQL_STDDEV);
-        addIntermediateAgg(SERIAL_SQL_STDDEV, SERIAL_INTERMEDIATE_SQL_STDDEV);
-        addIntermediateAgg(SERIAL_LOCAL_SQL_STDDEV, SERIAL_INTERMEDIATE_SQL_STDDEV);
-        addIntermediateAgg(SERIAL_GLOBAL_SQL_STDDEV, SERIAL_INTERMEDIATE_SQL_STDDEV);
-        addGlobalAgg(SERIAL_SQL_STDDEV, SERIAL_GLOBAL_SQL_STDDEV);
+        addSerialAgg(SQL_STDDEV_SAMP, SERIAL_SQL_STDDEV_SAMP);
+        addSerialAgg(LOCAL_SQL_STDDEV_SAMP, SERIAL_LOCAL_SQL_STDDEV_SAMP);
+        addSerialAgg(GLOBAL_SQL_STDDEV_SAMP, SERIAL_GLOBAL_SQL_STDDEV_SAMP);
+        addAgg(SERIAL_SQL_STDDEV_SAMP);
+        addAgg(SERIAL_LOCAL_SQL_STDDEV_SAMP);
+        addAgg(SERIAL_GLOBAL_SQL_STDDEV_SAMP);
+        addLocalAgg(SERIAL_SQL_STDDEV_SAMP, SERIAL_LOCAL_SQL_STDDEV_SAMP);
+        addIntermediateAgg(SERIAL_SQL_STDDEV_SAMP, SERIAL_INTERMEDIATE_SQL_STDDEV_SAMP);
+        addIntermediateAgg(SERIAL_LOCAL_SQL_STDDEV_SAMP, SERIAL_INTERMEDIATE_SQL_STDDEV_SAMP);
+        addIntermediateAgg(SERIAL_GLOBAL_SQL_STDDEV_SAMP, SERIAL_INTERMEDIATE_SQL_STDDEV_SAMP);
+        addGlobalAgg(SERIAL_SQL_STDDEV_SAMP, SERIAL_GLOBAL_SQL_STDDEV_SAMP);
 
         // SQL STDDEV_POP
 
@@ -2478,32 +2704,32 @@
         addIntermediateAgg(SERIAL_GLOBAL_SQL_STDDEV_POP, SERIAL_INTERMEDIATE_SQL_STDDEV_POP);
         addGlobalAgg(SERIAL_SQL_STDDEV_POP, SERIAL_GLOBAL_SQL_STDDEV_POP);
 
-        // SQL VAR
+        // SQL VAR_SAMP
 
-        addAgg(SQL_VAR);
-        addAgg(LOCAL_SQL_VAR);
-        addAgg(GLOBAL_SQL_VAR);
-        addLocalAgg(SQL_VAR, LOCAL_SQL_VAR);
-        addIntermediateAgg(SQL_VAR, INTERMEDIATE_SQL_VAR);
-        addIntermediateAgg(LOCAL_SQL_VAR, INTERMEDIATE_SQL_VAR);
-        addIntermediateAgg(GLOBAL_SQL_VAR, INTERMEDIATE_SQL_VAR);
-        addGlobalAgg(SQL_VAR, GLOBAL_SQL_VAR);
+        addAgg(SQL_VAR_SAMP);
+        addAgg(LOCAL_SQL_VAR_SAMP);
+        addAgg(GLOBAL_SQL_VAR_SAMP);
+        addLocalAgg(SQL_VAR_SAMP, LOCAL_SQL_VAR_SAMP);
+        addIntermediateAgg(SQL_VAR_SAMP, INTERMEDIATE_SQL_VAR_SAMP);
+        addIntermediateAgg(LOCAL_SQL_VAR_SAMP, INTERMEDIATE_SQL_VAR_SAMP);
+        addIntermediateAgg(GLOBAL_SQL_VAR_SAMP, INTERMEDIATE_SQL_VAR_SAMP);
+        addGlobalAgg(SQL_VAR_SAMP, GLOBAL_SQL_VAR_SAMP);
 
-        addScalarAgg(SQL_VAR, SCALAR_SQL_VAR);
-        addScalarAgg(GLOBAL_SQL_VAR, SCALAR_GLOBAL_SQL_VAR);
-        addScalarAgg(LOCAL_SQL_VAR, SCALAR_LOCAL_SQL_VAR);
+        addScalarAgg(SQL_VAR_SAMP, SCALAR_SQL_VAR_SAMP);
+        addScalarAgg(GLOBAL_SQL_VAR_SAMP, SCALAR_GLOBAL_SQL_VAR_SAMP);
+        addScalarAgg(LOCAL_SQL_VAR_SAMP, SCALAR_LOCAL_SQL_VAR_SAMP);
 
-        addSerialAgg(SQL_VAR, SERIAL_SQL_VAR);
-        addSerialAgg(LOCAL_SQL_VAR, SERIAL_LOCAL_SQL_VAR);
-        addSerialAgg(GLOBAL_SQL_VAR, SERIAL_GLOBAL_SQL_VAR);
-        addAgg(SERIAL_SQL_VAR);
-        addAgg(SERIAL_LOCAL_SQL_VAR);
-        addAgg(SERIAL_GLOBAL_SQL_VAR);
-        addLocalAgg(SERIAL_SQL_VAR, SERIAL_LOCAL_SQL_VAR);
-        addIntermediateAgg(SERIAL_SQL_VAR, SERIAL_INTERMEDIATE_SQL_VAR);
-        addIntermediateAgg(SERIAL_LOCAL_SQL_VAR, SERIAL_INTERMEDIATE_SQL_VAR);
-        addIntermediateAgg(SERIAL_GLOBAL_SQL_VAR, SERIAL_INTERMEDIATE_SQL_VAR);
-        addGlobalAgg(SERIAL_SQL_VAR, SERIAL_GLOBAL_SQL_VAR);
+        addSerialAgg(SQL_VAR_SAMP, SERIAL_SQL_VAR_SAMP);
+        addSerialAgg(LOCAL_SQL_VAR_SAMP, SERIAL_LOCAL_SQL_VAR_SAMP);
+        addSerialAgg(GLOBAL_SQL_VAR_SAMP, SERIAL_GLOBAL_SQL_VAR_SAMP);
+        addAgg(SERIAL_SQL_VAR_SAMP);
+        addAgg(SERIAL_LOCAL_SQL_VAR_SAMP);
+        addAgg(SERIAL_GLOBAL_SQL_VAR_SAMP);
+        addLocalAgg(SERIAL_SQL_VAR_SAMP, SERIAL_LOCAL_SQL_VAR_SAMP);
+        addIntermediateAgg(SERIAL_SQL_VAR_SAMP, SERIAL_INTERMEDIATE_SQL_VAR_SAMP);
+        addIntermediateAgg(SERIAL_LOCAL_SQL_VAR_SAMP, SERIAL_INTERMEDIATE_SQL_VAR_SAMP);
+        addIntermediateAgg(SERIAL_GLOBAL_SQL_VAR_SAMP, SERIAL_INTERMEDIATE_SQL_VAR_SAMP);
+        addGlobalAgg(SERIAL_SQL_VAR_SAMP, SERIAL_GLOBAL_SQL_VAR_SAMP);
 
         // SQL VAR_POP
 
@@ -2532,31 +2758,95 @@
         addIntermediateAgg(SERIAL_GLOBAL_SQL_VAR_POP, SERIAL_INTERMEDIATE_SQL_VAR_POP);
         addGlobalAgg(SERIAL_SQL_VAR_POP, SERIAL_GLOBAL_SQL_VAR_POP);
 
+        // SQL SKEWNESS
+
+        addAgg(SQL_SKEWNESS);
+        addAgg(LOCAL_SQL_SKEWNESS);
+        addAgg(GLOBAL_SQL_SKEWNESS);
+        addLocalAgg(SQL_SKEWNESS, LOCAL_SQL_SKEWNESS);
+        addIntermediateAgg(SQL_SKEWNESS, INTERMEDIATE_SQL_SKEWNESS);
+        addIntermediateAgg(LOCAL_SQL_SKEWNESS, INTERMEDIATE_SQL_SKEWNESS);
+        addIntermediateAgg(GLOBAL_SQL_SKEWNESS, INTERMEDIATE_SQL_SKEWNESS);
+        addGlobalAgg(SQL_SKEWNESS, GLOBAL_SQL_SKEWNESS);
+
+        addScalarAgg(SQL_SKEWNESS, SCALAR_SQL_SKEWNESS);
+        addScalarAgg(GLOBAL_SQL_SKEWNESS, SCALAR_GLOBAL_SQL_SKEWNESS);
+        addScalarAgg(LOCAL_SQL_SKEWNESS, SCALAR_LOCAL_SQL_SKEWNESS);
+
+        addSerialAgg(SQL_SKEWNESS, SERIAL_SQL_SKEWNESS);
+        addSerialAgg(LOCAL_SQL_SKEWNESS, SERIAL_LOCAL_SQL_SKEWNESS);
+        addSerialAgg(GLOBAL_SQL_SKEWNESS, SERIAL_GLOBAL_SQL_SKEWNESS);
+        addAgg(SERIAL_SQL_SKEWNESS);
+        addAgg(SERIAL_LOCAL_SQL_SKEWNESS);
+        addAgg(SERIAL_GLOBAL_SQL_SKEWNESS);
+        addLocalAgg(SERIAL_SQL_SKEWNESS, SERIAL_LOCAL_SQL_SKEWNESS);
+        addIntermediateAgg(SERIAL_SQL_SKEWNESS, SERIAL_INTERMEDIATE_SQL_SKEWNESS);
+        addIntermediateAgg(SERIAL_LOCAL_SQL_SKEWNESS, SERIAL_INTERMEDIATE_SQL_SKEWNESS);
+        addIntermediateAgg(SERIAL_GLOBAL_SQL_SKEWNESS, SERIAL_INTERMEDIATE_SQL_SKEWNESS);
+        addGlobalAgg(SERIAL_SQL_SKEWNESS, SERIAL_GLOBAL_SQL_SKEWNESS);
+
+        // SQL KURTOSIS
+
+        addAgg(SQL_KURTOSIS);
+        addAgg(LOCAL_SQL_KURTOSIS);
+        addAgg(GLOBAL_SQL_KURTOSIS);
+        addLocalAgg(SQL_KURTOSIS, LOCAL_SQL_KURTOSIS);
+        addIntermediateAgg(SQL_KURTOSIS, INTERMEDIATE_SQL_KURTOSIS);
+        addIntermediateAgg(LOCAL_SQL_KURTOSIS, INTERMEDIATE_SQL_KURTOSIS);
+        addIntermediateAgg(GLOBAL_SQL_KURTOSIS, INTERMEDIATE_SQL_KURTOSIS);
+        addGlobalAgg(SQL_KURTOSIS, GLOBAL_SQL_KURTOSIS);
+
+        addScalarAgg(SQL_KURTOSIS, SCALAR_SQL_KURTOSIS);
+        addScalarAgg(GLOBAL_SQL_KURTOSIS, SCALAR_GLOBAL_SQL_KURTOSIS);
+        addScalarAgg(LOCAL_SQL_KURTOSIS, SCALAR_LOCAL_SQL_KURTOSIS);
+
+        addSerialAgg(SQL_KURTOSIS, SERIAL_SQL_KURTOSIS);
+        addSerialAgg(LOCAL_SQL_KURTOSIS, SERIAL_LOCAL_SQL_KURTOSIS);
+        addSerialAgg(GLOBAL_SQL_KURTOSIS, SERIAL_GLOBAL_SQL_KURTOSIS);
+        addAgg(SERIAL_SQL_KURTOSIS);
+        addAgg(SERIAL_LOCAL_SQL_KURTOSIS);
+        addAgg(SERIAL_GLOBAL_SQL_KURTOSIS);
+        addLocalAgg(SERIAL_SQL_KURTOSIS, SERIAL_LOCAL_SQL_KURTOSIS);
+        addIntermediateAgg(SERIAL_SQL_KURTOSIS, SERIAL_INTERMEDIATE_SQL_KURTOSIS);
+        addIntermediateAgg(SERIAL_LOCAL_SQL_KURTOSIS, SERIAL_INTERMEDIATE_SQL_KURTOSIS);
+        addIntermediateAgg(SERIAL_GLOBAL_SQL_KURTOSIS, SERIAL_INTERMEDIATE_SQL_KURTOSIS);
+        addGlobalAgg(SERIAL_SQL_KURTOSIS, SERIAL_GLOBAL_SQL_KURTOSIS);
+
         // SQL AVG DISTINCT
 
         addDistinctAgg(SQL_AVG_DISTINCT, SCALAR_SQL_AVG);
         addScalarAgg(SQL_AVG_DISTINCT, SCALAR_SQL_AVG_DISTINCT);
 
-        // SQL STDDEV DISTINCT
+        // SQL STDDEV_SAMP DISTINCT
 
-        addDistinctAgg(SQL_STDDEV_DISTINCT, SCALAR_SQL_STDDEV);
-        addScalarAgg(SQL_STDDEV_DISTINCT, SCALAR_SQL_STDDEV_DISTINCT);
+        addDistinctAgg(SQL_STDDEV_SAMP_DISTINCT, SCALAR_SQL_STDDEV_SAMP);
+        addScalarAgg(SQL_STDDEV_SAMP_DISTINCT, SCALAR_SQL_STDDEV_SAMP_DISTINCT);
 
         // SQL STDDEV_POP DISTINCT
 
         addDistinctAgg(SQL_STDDEV_POP_DISTINCT, SCALAR_SQL_STDDEV_POP);
         addScalarAgg(SQL_STDDEV_POP_DISTINCT, SCALAR_SQL_STDDEV_POP_DISTINCT);
 
-        // SQL VAR DISTINCT
+        // SQL VAR_SAMP DISTINCT
 
-        addDistinctAgg(SQL_VAR_DISTINCT, SCALAR_SQL_VAR);
-        addScalarAgg(SQL_VAR_DISTINCT, SCALAR_SQL_VAR_DISTINCT);
+        addDistinctAgg(SQL_VAR_SAMP_DISTINCT, SCALAR_SQL_VAR_SAMP);
+        addScalarAgg(SQL_VAR_SAMP_DISTINCT, SCALAR_SQL_VAR_SAMP_DISTINCT);
 
         // SQL VAR_POP DISTINCT
 
         addDistinctAgg(SQL_VAR_POP_DISTINCT, SCALAR_SQL_VAR_POP);
         addScalarAgg(SQL_VAR_POP_DISTINCT, SCALAR_SQL_VAR_POP_DISTINCT);
 
+        // SQL SKEWNESS DISTINCT
+
+        addDistinctAgg(SQL_SKEWNESS_DISTINCT, SCALAR_SQL_SKEWNESS);
+        addScalarAgg(SQL_SKEWNESS_DISTINCT, SCALAR_SQL_SKEWNESS_DISTINCT);
+
+        // SQL KURTOSIS DISTINCT
+
+        addDistinctAgg(SQL_KURTOSIS_DISTINCT, SCALAR_SQL_KURTOSIS);
+        addScalarAgg(SQL_KURTOSIS_DISTINCT, SCALAR_SQL_KURTOSIS_DISTINCT);
+
         // SQL COUNT
 
         addAgg(SQL_COUNT);
diff --git a/asterixdb/asterix-om/src/main/java/org/apache/asterix/om/typecomputer/impl/LocalSingleVarStatisticsTypeComputer.java b/asterixdb/asterix-om/src/main/java/org/apache/asterix/om/typecomputer/impl/LocalSingleVarStatisticsTypeComputer.java
index 7650687f..1be970a 100644
--- a/asterixdb/asterix-om/src/main/java/org/apache/asterix/om/typecomputer/impl/LocalSingleVarStatisticsTypeComputer.java
+++ b/asterixdb/asterix-om/src/main/java/org/apache/asterix/om/typecomputer/impl/LocalSingleVarStatisticsTypeComputer.java
@@ -36,8 +36,10 @@
     @Override
     public IAType computeType(ILogicalExpression expression, IVariableTypeEnvironment env,
             IMetadataProvider<?, ?> metadataProvider) throws AlgebricksException {
-        return new ARecordType(null, new String[] { "m1", "m2", "count" },
+        return new ARecordType(null, new String[] { "m1", "m2", "m3", "m4", "count" },
                 new IAType[] { AUnionType.createNullableType(BuiltinType.ADOUBLE, "OptionalDouble"),
+                        AUnionType.createNullableType(BuiltinType.ADOUBLE, "OptionalDouble"),
+                        AUnionType.createNullableType(BuiltinType.ADOUBLE, "OptionalDouble"),
                         AUnionType.createNullableType(BuiltinType.ADOUBLE, "OptionalDouble"), BuiltinType.AINT64 },
                 false);
     }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarKurtosisAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarKurtosisAggregateDescriptor.java
new file mode 100644
index 0000000..943c74d
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarKurtosisAggregateDescriptor.java
@@ -0,0 +1,49 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+package org.apache.asterix.runtime.aggregates.scalar;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.std.KurtosisAggregateDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+
+public class ScalarKurtosisAggregateDescriptor extends AbstractScalarAggregateDescriptor {
+
+    private static final long serialVersionUID = 1L;
+
+    public final static FunctionIdentifier FID = BuiltinFunctions.SCALAR_KURTOSIS;
+
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new ScalarKurtosisAggregateDescriptor(
+                    KurtosisAggregateDescriptor.FACTORY.createFunctionDescriptor());
+        }
+    };
+
+    private ScalarKurtosisAggregateDescriptor(IFunctionDescriptor aggFuncDesc) {
+        super(aggFuncDesc);
+    }
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return FID;
+    }
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarSkewnessAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarSkewnessAggregateDescriptor.java
new file mode 100644
index 0000000..1fad8e4
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarSkewnessAggregateDescriptor.java
@@ -0,0 +1,49 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+package org.apache.asterix.runtime.aggregates.scalar;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.std.SkewnessAggregateDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+
+public class ScalarSkewnessAggregateDescriptor extends AbstractScalarAggregateDescriptor {
+
+    private static final long serialVersionUID = 1L;
+
+    public final static FunctionIdentifier FID = BuiltinFunctions.SCALAR_SKEWNESS;
+
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new ScalarSkewnessAggregateDescriptor(
+                    SkewnessAggregateDescriptor.FACTORY.createFunctionDescriptor());
+        }
+    };
+
+    private ScalarSkewnessAggregateDescriptor(IFunctionDescriptor aggFuncDesc) {
+        super(aggFuncDesc);
+    }
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return FID;
+    }
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarSqlKurtosisAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarSqlKurtosisAggregateDescriptor.java
new file mode 100644
index 0000000..472b479
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarSqlKurtosisAggregateDescriptor.java
@@ -0,0 +1,49 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+package org.apache.asterix.runtime.aggregates.scalar;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.std.SqlKurtosisAggregateDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+
+public class ScalarSqlKurtosisAggregateDescriptor extends AbstractScalarAggregateDescriptor {
+
+    private static final long serialVersionUID = 1L;
+
+    public final static FunctionIdentifier FID = BuiltinFunctions.SCALAR_SQL_KURTOSIS;
+
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new ScalarSqlKurtosisAggregateDescriptor(
+                    SqlKurtosisAggregateDescriptor.FACTORY.createFunctionDescriptor());
+        }
+    };
+
+    private ScalarSqlKurtosisAggregateDescriptor(IFunctionDescriptor aggFuncDesc) {
+        super(aggFuncDesc);
+    }
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return FID;
+    }
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarSqlSkewnessAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarSqlSkewnessAggregateDescriptor.java
new file mode 100644
index 0000000..d52f597
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarSqlSkewnessAggregateDescriptor.java
@@ -0,0 +1,49 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+package org.apache.asterix.runtime.aggregates.scalar;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.std.SqlSkewnessAggregateDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+
+public class ScalarSqlSkewnessAggregateDescriptor extends AbstractScalarAggregateDescriptor {
+
+    private static final long serialVersionUID = 1L;
+
+    public final static FunctionIdentifier FID = BuiltinFunctions.SCALAR_SQL_SKEWNESS;
+
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new ScalarSqlSkewnessAggregateDescriptor(
+                    SqlSkewnessAggregateDescriptor.FACTORY.createFunctionDescriptor());
+        }
+    };
+
+    private ScalarSqlSkewnessAggregateDescriptor(IFunctionDescriptor aggFuncDesc) {
+        super(aggFuncDesc);
+    }
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return FID;
+    }
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarSqlStddevAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarSqlStddevAggregateDescriptor.java
index 0b80fe4..f52032d 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarSqlStddevAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarSqlStddevAggregateDescriptor.java
@@ -28,7 +28,7 @@
 
     private static final long serialVersionUID = 1L;
 
-    public final static FunctionIdentifier FID = BuiltinFunctions.SCALAR_SQL_STDDEV;
+    public final static FunctionIdentifier FID = BuiltinFunctions.SCALAR_SQL_STDDEV_SAMP;
 
     public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
         @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarSqlVarAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarSqlVarAggregateDescriptor.java
index 853aec3..983e178 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarSqlVarAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarSqlVarAggregateDescriptor.java
@@ -28,7 +28,7 @@
 
     private static final long serialVersionUID = 1L;
 
-    public final static FunctionIdentifier FID = BuiltinFunctions.SCALAR_SQL_VAR;
+    public final static FunctionIdentifier FID = BuiltinFunctions.SCALAR_SQL_VAR_SAMP;
 
     public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
         @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarStddevAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarStddevAggregateDescriptor.java
index 00d26c9..23b1255 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarStddevAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarStddevAggregateDescriptor.java
@@ -28,7 +28,7 @@
 
     private static final long serialVersionUID = 1L;
 
-    public final static FunctionIdentifier FID = BuiltinFunctions.SCALAR_STDDEV;
+    public final static FunctionIdentifier FID = BuiltinFunctions.SCALAR_STDDEV_SAMP;
 
     public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
         @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarVarAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarVarAggregateDescriptor.java
index 73a5dda..2f600c2 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarVarAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/scalar/ScalarVarAggregateDescriptor.java
@@ -28,7 +28,7 @@
 
     private static final long serialVersionUID = 1L;
 
-    public final static FunctionIdentifier FID = BuiltinFunctions.SCALAR_VAR;
+    public final static FunctionIdentifier FID = BuiltinFunctions.SCALAR_VAR_SAMP;
 
     public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
         @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/AbstractSerializableSingleVariableStatisticsAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/AbstractSerializableSingleVariableStatisticsAggregateFunction.java
index ec03472..3e0142d 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/AbstractSerializableSingleVariableStatisticsAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/AbstractSerializableSingleVariableStatisticsAggregateFunction.java
@@ -53,12 +53,16 @@
      */
     private static final int M1_FIELD_ID = 0;
     private static final int M2_FIELD_ID = 1;
-    private static final int COUNT_FIELD_ID = 2;
+    private static final int M3_FIELD_ID = 2;
+    private static final int M4_FIELD_ID = 3;
+    private static final int COUNT_FIELD_ID = 4;
 
     private static final int M1_OFFSET = 0;
     private static final int M2_OFFSET = 8;
-    private static final int COUNT_OFFSET = 16;
-    protected static final int AGG_TYPE_OFFSET = 24;
+    private static final int M3_OFFSET = 16;
+    private static final int M4_OFFSET = 24;
+    private static final int COUNT_OFFSET = 32;
+    protected static final int AGG_TYPE_OFFSET = 40;
 
     private IPointable inputVal = new VoidPointable();
     private IScalarEvaluator eval;
@@ -71,10 +75,16 @@
     private DataOutput m1BytesOutput = new DataOutputStream(m1Bytes);
     private ByteArrayAccessibleOutputStream m2Bytes = new ByteArrayAccessibleOutputStream();
     private DataOutput m2BytesOutput = new DataOutputStream(m2Bytes);
+    private ByteArrayAccessibleOutputStream m3Bytes = new ByteArrayAccessibleOutputStream();
+    private DataOutput m3BytesOutput = new DataOutputStream(m3Bytes);
+    private ByteArrayAccessibleOutputStream m4Bytes = new ByteArrayAccessibleOutputStream();
+    private DataOutput m4BytesOutput = new DataOutputStream(m4Bytes);
     private ByteArrayAccessibleOutputStream countBytes = new ByteArrayAccessibleOutputStream();
     private DataOutput countBytesOutput = new DataOutputStream(countBytes);
     private IScalarEvaluator evalM1 = new AccessibleByteArrayEval(m1Bytes);
     private IScalarEvaluator evalM2 = new AccessibleByteArrayEval(m2Bytes);
+    private IScalarEvaluator evalM3 = new AccessibleByteArrayEval(m3Bytes);
+    private IScalarEvaluator evalM4 = new AccessibleByteArrayEval(m4Bytes);
     private IScalarEvaluator evalCount = new AccessibleByteArrayEval(countBytes);
     private ClosedRecordConstructorEval recordEval;
 
@@ -99,9 +109,11 @@
         try {
             state.writeDouble(0.0);
             state.writeDouble(0.0);
+            state.writeDouble(0.0);
+            state.writeDouble(0.0);
             state.writeLong(0L);
             state.writeByte(ATypeTag.SERIALIZED_SYSTEM_NULL_TYPE_TAG);
-            moments.set(0, 0, 0);
+            moments.set(0, 0, 0, 0, 0, getM3Flag(), getM4Flag());
         } catch (IOException e) {
             throw HyracksDataException.create(e);
         }
@@ -120,6 +132,10 @@
 
     protected abstract FunctionIdentifier getFunctionIdentifier();
 
+    protected abstract boolean getM3Flag();
+
+    protected abstract boolean getM4Flag();
+
     protected void processDataValues(IFrameTupleReference tuple, byte[] state, int start, int len)
             throws HyracksDataException {
         if (skipStep(state, start)) {
@@ -131,8 +147,10 @@
 
         double m1 = BufferSerDeUtil.getDouble(state, start + M1_OFFSET);
         double m2 = BufferSerDeUtil.getDouble(state, start + M2_OFFSET);
+        double m3 = BufferSerDeUtil.getDouble(state, start + M3_OFFSET);
+        double m4 = BufferSerDeUtil.getDouble(state, start + M4_OFFSET);
         long count = BufferSerDeUtil.getLong(state, start + COUNT_OFFSET);
-        moments.set(m1, m2, count);
+        moments.set(m1, m2, m3, m4, count, getM3Flag(), getM4Flag());
 
         ATypeTag typeTag = EnumDeserializer.ATYPETAGDESERIALIZER.deserialize(bytes[offset]);
         ATypeTag aggType = EnumDeserializer.ATYPETAGDESERIALIZER.deserialize(state[start + AGG_TYPE_OFFSET]);
@@ -183,6 +201,8 @@
         }
         BufferSerDeUtil.writeDouble(moments.getM1(), state, start + M1_OFFSET);
         BufferSerDeUtil.writeDouble(moments.getM2(), state, start + M2_OFFSET);
+        BufferSerDeUtil.writeDouble(moments.getM3(), state, start + M3_OFFSET);
+        BufferSerDeUtil.writeDouble(moments.getM4(), state, start + M4_OFFSET);
         BufferSerDeUtil.writeLong(moments.getCount(), state, start + COUNT_OFFSET);
         state[start + AGG_TYPE_OFFSET] = aggType.serialize();
     }
@@ -191,12 +211,18 @@
             throws HyracksDataException {
         double m1 = BufferSerDeUtil.getDouble(state, start + M1_OFFSET);
         double m2 = BufferSerDeUtil.getDouble(state, start + M2_OFFSET);
+        double m3 = BufferSerDeUtil.getDouble(state, start + M3_OFFSET);
+        double m4 = BufferSerDeUtil.getDouble(state, start + M4_OFFSET);
         long count = BufferSerDeUtil.getLong(state, start + COUNT_OFFSET);
         ATypeTag aggType = EnumDeserializer.ATYPETAGDESERIALIZER.deserialize(state[start + AGG_TYPE_OFFSET]);
         if (recordEval == null) {
-            ARecordType recType = new ARecordType(null, new String[] { "m1", "m2", "count" },
-                    new IAType[] { BuiltinType.ADOUBLE, BuiltinType.ADOUBLE, BuiltinType.AINT64 }, false);
-            recordEval = new ClosedRecordConstructorEval(recType, new IScalarEvaluator[] { evalM1, evalM2, evalCount });
+            ARecordType recType =
+                    new ARecordType(null,
+                            new String[] { "m1", "m2", "m3", "m4", "count" }, new IAType[] { BuiltinType.ADOUBLE,
+                                    BuiltinType.ADOUBLE, BuiltinType.ADOUBLE, BuiltinType.ADOUBLE, BuiltinType.AINT64 },
+                            false);
+            recordEval = new ClosedRecordConstructorEval(recType,
+                    new IScalarEvaluator[] { evalM1, evalM2, evalM3, evalM4, evalCount });
         }
 
         try {
@@ -214,6 +240,12 @@
                 m2Bytes.reset();
                 aDouble.setValue(m2);
                 doubleSerde.serialize(aDouble, m2BytesOutput);
+                m3Bytes.reset();
+                aDouble.setValue(m3);
+                doubleSerde.serialize(aDouble, m3BytesOutput);
+                m4Bytes.reset();
+                aDouble.setValue(m4);
+                doubleSerde.serialize(aDouble, m4BytesOutput);
                 countBytes.reset();
                 aInt64.setValue(count);
                 longSerde.serialize(aInt64, countBytesOutput);
@@ -232,8 +264,10 @@
         }
         double m1 = BufferSerDeUtil.getDouble(state, start + M1_OFFSET);
         double m2 = BufferSerDeUtil.getDouble(state, start + M2_OFFSET);
+        double m3 = BufferSerDeUtil.getDouble(state, start + M3_OFFSET);
+        double m4 = BufferSerDeUtil.getDouble(state, start + M4_OFFSET);
         long count = BufferSerDeUtil.getLong(state, start + COUNT_OFFSET);
-        moments.set(m1, m2, count);
+        moments.set(m1, m2, m3, m4, count, getM3Flag(), getM4Flag());
 
         eval.evaluate(tuple, inputVal);
         byte[] serBytes = inputVal.getByteArray();
@@ -255,15 +289,23 @@
                         nullBitmapSize, false);
                 int offset2 = ARecordSerializerDeserializer.getFieldOffsetById(serBytes, offset, M2_FIELD_ID,
                         nullBitmapSize, false);
-                int offset3 = ARecordSerializerDeserializer.getFieldOffsetById(serBytes, offset, COUNT_FIELD_ID,
+                int offset3 = ARecordSerializerDeserializer.getFieldOffsetById(serBytes, offset, M3_FIELD_ID,
+                        nullBitmapSize, false);
+                int offset4 = ARecordSerializerDeserializer.getFieldOffsetById(serBytes, offset, M4_FIELD_ID,
+                        nullBitmapSize, false);
+                int offset5 = ARecordSerializerDeserializer.getFieldOffsetById(serBytes, offset, COUNT_FIELD_ID,
                         nullBitmapSize, false);
                 double temp_m1 = ADoubleSerializerDeserializer.getDouble(serBytes, offset1);
                 double temp_m2 = ADoubleSerializerDeserializer.getDouble(serBytes, offset2);
-                long temp_count = AInt64SerializerDeserializer.getLong(serBytes, offset3);
-                moments.combine(temp_m1, temp_m2, temp_count);
+                double temp_m3 = ADoubleSerializerDeserializer.getDouble(serBytes, offset3);
+                double temp_m4 = ADoubleSerializerDeserializer.getDouble(serBytes, offset4);
+                long temp_count = AInt64SerializerDeserializer.getLong(serBytes, offset5);
+                moments.combine(temp_m1, temp_m2, temp_m3, temp_m4, temp_count);
 
                 BufferSerDeUtil.writeDouble(moments.getM1(), state, start + M1_OFFSET);
                 BufferSerDeUtil.writeDouble(moments.getM2(), state, start + M2_OFFSET);
+                BufferSerDeUtil.writeDouble(moments.getM3(), state, start + M3_OFFSET);
+                BufferSerDeUtil.writeDouble(moments.getM4(), state, start + M4_OFFSET);
                 BufferSerDeUtil.writeLong(moments.getCount(), state, start + COUNT_OFFSET);
                 state[start + AGG_TYPE_OFFSET] = aggType.serialize();
                 break;
@@ -306,6 +348,42 @@
         }
     }
 
+    protected void finishSkewFinalResults(byte[] state, int start, int len, DataOutput result)
+            throws HyracksDataException {
+        double m2 = BufferSerDeUtil.getDouble(state, start + M2_OFFSET);
+        double m3 = BufferSerDeUtil.getDouble(state, start + M3_OFFSET);
+        long count = BufferSerDeUtil.getLong(state, start + COUNT_OFFSET);
+        ATypeTag aggType = EnumDeserializer.ATYPETAGDESERIALIZER.deserialize(state[start + AGG_TYPE_OFFSET]);
+        try {
+            if (count <= 1 || aggType == ATypeTag.NULL || (m2 < Double.MIN_VALUE && m2 > -Double.MIN_VALUE)) {
+                nullSerde.serialize(ANull.NULL, result);
+            } else {
+                aDouble.setValue(Math.sqrt(count) * m3 / Math.pow(m2, 1.5));
+                doubleSerde.serialize(aDouble, result);
+            }
+        } catch (IOException e) {
+            throw HyracksDataException.create(e);
+        }
+    }
+
+    protected void finishKurtFinalResults(byte[] state, int start, int len, DataOutput result)
+            throws HyracksDataException {
+        double m2 = BufferSerDeUtil.getDouble(state, start + M2_OFFSET);
+        double m4 = BufferSerDeUtil.getDouble(state, start + M4_OFFSET);
+        long count = BufferSerDeUtil.getLong(state, start + COUNT_OFFSET);
+        ATypeTag aggType = EnumDeserializer.ATYPETAGDESERIALIZER.deserialize(state[start + AGG_TYPE_OFFSET]);
+        try {
+            if (count <= 1 || aggType == ATypeTag.NULL || (m2 < Double.MIN_VALUE && m2 > -Double.MIN_VALUE)) {
+                nullSerde.serialize(ANull.NULL, result);
+            } else {
+                aDouble.setValue(m4 * count / (m2 * m2 - 3));
+                doubleSerde.serialize(aDouble, result);
+            }
+        } catch (IOException e) {
+            throw HyracksDataException.create(e);
+        }
+    }
+
     protected boolean skipStep(byte[] state, int start) {
         return false;
     }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalKurtosisAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalKurtosisAggregateDescriptor.java
new file mode 100644
index 0000000..831ae43
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalKurtosisAggregateDescriptor.java
@@ -0,0 +1,63 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractSerializableAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class SerializableGlobalKurtosisAggregateDescriptor
+        extends AbstractSerializableAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new SerializableGlobalKurtosisAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.SERIAL_GLOBAL_KURTOSIS;
+    }
+
+    @Override
+    public ISerializedAggregateEvaluatorFactory createSerializableAggregateEvaluatorFactory(
+            final IScalarEvaluatorFactory[] args) {
+        return new ISerializedAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public ISerializedAggregateEvaluator createAggregateEvaluator(IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new SerializableGlobalKurtosisAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalKurtosisAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalKurtosisAggregateFunction.java
new file mode 100644
index 0000000..f5c9dd3
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalKurtosisAggregateFunction.java
@@ -0,0 +1,83 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.types.ATypeTag;
+import org.apache.asterix.om.types.EnumDeserializer;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+import java.io.DataOutput;
+
+public class SerializableGlobalKurtosisAggregateFunction
+        extends AbstractSerializableSingleVariableStatisticsAggregateFunction {
+
+    public SerializableGlobalKurtosisAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple, byte[] state, int start, int len) throws HyracksDataException {
+        processPartialResults(tuple, state, start, len);
+    }
+
+    @Override
+    public void finish(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finishKurtFinalResults(state, start, len, result);
+    }
+
+    @Override
+    public void finishPartial(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finishPartialResults(state, start, len, result);
+    }
+
+    @Override
+    protected void processNull(byte[] state, int start) {
+        state[start + AGG_TYPE_OFFSET] = ATypeTag.SERIALIZED_NULL_TYPE_TAG;
+    }
+
+    @Override
+    protected boolean skipStep(byte[] state, int start) {
+        ATypeTag aggType = EnumDeserializer.ATYPETAGDESERIALIZER.deserialize(state[start + AGG_TYPE_OFFSET]);
+        return aggType == ATypeTag.NULL;
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return true;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.KURTOSIS;
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSkewnessAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSkewnessAggregateDescriptor.java
new file mode 100644
index 0000000..291a1e9
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSkewnessAggregateDescriptor.java
@@ -0,0 +1,63 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractSerializableAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class SerializableGlobalSkewnessAggregateDescriptor
+        extends AbstractSerializableAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new SerializableGlobalSkewnessAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.SERIAL_GLOBAL_SKEWNESS;
+    }
+
+    @Override
+    public ISerializedAggregateEvaluatorFactory createSerializableAggregateEvaluatorFactory(
+            final IScalarEvaluatorFactory[] args) {
+        return new ISerializedAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public ISerializedAggregateEvaluator createAggregateEvaluator(IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new SerializableGlobalSkewnessAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSkewnessAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSkewnessAggregateFunction.java
new file mode 100644
index 0000000..85047ed
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSkewnessAggregateFunction.java
@@ -0,0 +1,83 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.types.ATypeTag;
+import org.apache.asterix.om.types.EnumDeserializer;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+import java.io.DataOutput;
+
+public class SerializableGlobalSkewnessAggregateFunction
+        extends AbstractSerializableSingleVariableStatisticsAggregateFunction {
+
+    public SerializableGlobalSkewnessAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple, byte[] state, int start, int len) throws HyracksDataException {
+        processPartialResults(tuple, state, start, len);
+    }
+
+    @Override
+    public void finish(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finishSkewFinalResults(state, start, len, result);
+    }
+
+    @Override
+    public void finishPartial(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finishPartialResults(state, start, len, result);
+    }
+
+    @Override
+    protected void processNull(byte[] state, int start) {
+        state[start + AGG_TYPE_OFFSET] = ATypeTag.SERIALIZED_NULL_TYPE_TAG;
+    }
+
+    @Override
+    protected boolean skipStep(byte[] state, int start) {
+        ATypeTag aggType = EnumDeserializer.ATYPETAGDESERIALIZER.deserialize(state[start + AGG_TYPE_OFFSET]);
+        return aggType == ATypeTag.NULL;
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.SKEWNESS;
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlKurtosisAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlKurtosisAggregateDescriptor.java
new file mode 100644
index 0000000..8e11bee
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlKurtosisAggregateDescriptor.java
@@ -0,0 +1,63 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractSerializableAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class SerializableGlobalSqlKurtosisAggregateDescriptor
+        extends AbstractSerializableAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new SerializableGlobalSqlKurtosisAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.SERIAL_GLOBAL_SQL_KURTOSIS;
+    }
+
+    @Override
+    public ISerializedAggregateEvaluatorFactory createSerializableAggregateEvaluatorFactory(
+            final IScalarEvaluatorFactory[] args) {
+        return new ISerializedAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public ISerializedAggregateEvaluator createAggregateEvaluator(IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new SerializableGlobalSqlKurtosisAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlKurtosisAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlKurtosisAggregateFunction.java
new file mode 100644
index 0000000..441290c
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlKurtosisAggregateFunction.java
@@ -0,0 +1,74 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+import java.io.DataOutput;
+
+public class SerializableGlobalSqlKurtosisAggregateFunction
+        extends AbstractSerializableSingleVariableStatisticsAggregateFunction {
+
+    public SerializableGlobalSqlKurtosisAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple, byte[] state, int start, int len) throws HyracksDataException {
+        processPartialResults(tuple, state, start, len);
+    }
+
+    @Override
+    public void finish(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finishKurtFinalResults(state, start, len, result);
+    }
+
+    @Override
+    public void finishPartial(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finishPartialResults(state, start, len, result);
+    }
+
+    @Override
+    protected void processNull(byte[] state, int start) {
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return true;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.KURTOSIS;
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlSkewnessAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlSkewnessAggregateDescriptor.java
new file mode 100644
index 0000000..a5590e4
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlSkewnessAggregateDescriptor.java
@@ -0,0 +1,63 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractSerializableAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class SerializableGlobalSqlSkewnessAggregateDescriptor
+        extends AbstractSerializableAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new SerializableGlobalSqlSkewnessAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.SERIAL_GLOBAL_SQL_SKEWNESS;
+    }
+
+    @Override
+    public ISerializedAggregateEvaluatorFactory createSerializableAggregateEvaluatorFactory(
+            final IScalarEvaluatorFactory[] args) {
+        return new ISerializedAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public ISerializedAggregateEvaluator createAggregateEvaluator(IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new SerializableGlobalSqlSkewnessAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlSkewnessAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlSkewnessAggregateFunction.java
new file mode 100644
index 0000000..0190a75
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlSkewnessAggregateFunction.java
@@ -0,0 +1,74 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+import java.io.DataOutput;
+
+public class SerializableGlobalSqlSkewnessAggregateFunction
+        extends AbstractSerializableSingleVariableStatisticsAggregateFunction {
+
+    public SerializableGlobalSqlSkewnessAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple, byte[] state, int start, int len) throws HyracksDataException {
+        processPartialResults(tuple, state, start, len);
+    }
+
+    @Override
+    public void finish(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finishSkewFinalResults(state, start, len, result);
+    }
+
+    @Override
+    public void finishPartial(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finishPartialResults(state, start, len, result);
+    }
+
+    @Override
+    protected void processNull(byte[] state, int start) {
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.SKEWNESS;
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlStddevAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlStddevAggregateDescriptor.java
index b3270d9..c015b19 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlStddevAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlStddevAggregateDescriptor.java
@@ -43,7 +43,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.SERIAL_GLOBAL_SQL_STDDEV;
+        return BuiltinFunctions.SERIAL_GLOBAL_SQL_STDDEV_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlStddevAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlStddevAggregateFunction.java
index 8bfd405..d9bdbca 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlStddevAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlStddevAggregateFunction.java
@@ -70,8 +70,17 @@
         if (isPop) {
             return BuiltinFunctions.STDDEV_POP;
         } else {
-            return BuiltinFunctions.STDDEV;
+            return BuiltinFunctions.STDDEV_SAMP;
         }
     }
 
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlVarAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlVarAggregateDescriptor.java
index 878b8ce..9c8a1fb 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlVarAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlVarAggregateDescriptor.java
@@ -43,7 +43,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.SERIAL_GLOBAL_SQL_VAR;
+        return BuiltinFunctions.SERIAL_GLOBAL_SQL_VAR_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlVarAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlVarAggregateFunction.java
index c00fee3..740466a 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlVarAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalSqlVarAggregateFunction.java
@@ -70,8 +70,17 @@
         if (isPop) {
             return BuiltinFunctions.VAR_POP;
         } else {
-            return BuiltinFunctions.VAR;
+            return BuiltinFunctions.VAR_SAMP;
         }
     }
 
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalStddevAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalStddevAggregateDescriptor.java
index ae78504..1ff0193 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalStddevAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalStddevAggregateDescriptor.java
@@ -43,7 +43,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.SERIAL_GLOBAL_STDDEV;
+        return BuiltinFunctions.SERIAL_GLOBAL_STDDEV_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalStddevAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalStddevAggregateFunction.java
index b83762d..7560471 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalStddevAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalStddevAggregateFunction.java
@@ -79,8 +79,17 @@
         if (isPop) {
             return BuiltinFunctions.STDDEV_POP;
         } else {
-            return BuiltinFunctions.STDDEV;
+            return BuiltinFunctions.STDDEV_SAMP;
         }
     }
 
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalVarAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalVarAggregateDescriptor.java
index f0130ec..da4de61 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalVarAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalVarAggregateDescriptor.java
@@ -42,7 +42,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.SERIAL_GLOBAL_VAR;
+        return BuiltinFunctions.SERIAL_GLOBAL_VAR_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalVarAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalVarAggregateFunction.java
index 4f33735..4849735 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalVarAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableGlobalVarAggregateFunction.java
@@ -79,8 +79,17 @@
         if (isPop) {
             return BuiltinFunctions.VAR_POP;
         } else {
-            return BuiltinFunctions.VAR;
+            return BuiltinFunctions.VAR_SAMP;
         }
     }
 
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateKurtosisAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateKurtosisAggregateDescriptor.java
new file mode 100644
index 0000000..81d7c2c
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateKurtosisAggregateDescriptor.java
@@ -0,0 +1,63 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractSerializableAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class SerializableIntermediateKurtosisAggregateDescriptor
+        extends AbstractSerializableAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new SerializableIntermediateKurtosisAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.SERIAL_INTERMEDIATE_KURTOSIS;
+    }
+
+    @Override
+    public ISerializedAggregateEvaluatorFactory createSerializableAggregateEvaluatorFactory(
+            final IScalarEvaluatorFactory[] args) {
+        return new ISerializedAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public ISerializedAggregateEvaluator createAggregateEvaluator(IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new SerializableIntermediateKurtosisAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateKurtosisAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateKurtosisAggregateFunction.java
new file mode 100644
index 0000000..913fd26
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateKurtosisAggregateFunction.java
@@ -0,0 +1,83 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.types.ATypeTag;
+import org.apache.asterix.om.types.EnumDeserializer;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+import java.io.DataOutput;
+
+public class SerializableIntermediateKurtosisAggregateFunction
+        extends AbstractSerializableSingleVariableStatisticsAggregateFunction {
+
+    public SerializableIntermediateKurtosisAggregateFunction(IScalarEvaluatorFactory[] args,
+            IHyracksTaskContext context, SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple, byte[] state, int start, int len) throws HyracksDataException {
+        processPartialResults(tuple, state, start, len);
+    }
+
+    @Override
+    public void finish(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finishPartialResults(state, start, len, result);
+    }
+
+    @Override
+    public void finishPartial(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finishPartialResults(state, start, len, result);
+    }
+
+    @Override
+    protected void processNull(byte[] state, int start) {
+        state[start + AGG_TYPE_OFFSET] = ATypeTag.SERIALIZED_NULL_TYPE_TAG;
+    }
+
+    @Override
+    protected boolean skipStep(byte[] state, int start) {
+        ATypeTag aggType = EnumDeserializer.ATYPETAGDESERIALIZER.deserialize(state[start + AGG_TYPE_OFFSET]);
+        return aggType == ATypeTag.NULL;
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return true;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.KURTOSIS;
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSkewnessAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSkewnessAggregateDescriptor.java
new file mode 100644
index 0000000..54b1394
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSkewnessAggregateDescriptor.java
@@ -0,0 +1,63 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractSerializableAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class SerializableIntermediateSkewnessAggregateDescriptor
+        extends AbstractSerializableAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new SerializableIntermediateSkewnessAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.SERIAL_INTERMEDIATE_SKEWNESS;
+    }
+
+    @Override
+    public ISerializedAggregateEvaluatorFactory createSerializableAggregateEvaluatorFactory(
+            final IScalarEvaluatorFactory[] args) {
+        return new ISerializedAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public ISerializedAggregateEvaluator createAggregateEvaluator(IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new SerializableIntermediateSkewnessAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSkewnessAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSkewnessAggregateFunction.java
new file mode 100644
index 0000000..7c74fdd
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSkewnessAggregateFunction.java
@@ -0,0 +1,83 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.types.ATypeTag;
+import org.apache.asterix.om.types.EnumDeserializer;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+import java.io.DataOutput;
+
+public class SerializableIntermediateSkewnessAggregateFunction
+        extends AbstractSerializableSingleVariableStatisticsAggregateFunction {
+
+    public SerializableIntermediateSkewnessAggregateFunction(IScalarEvaluatorFactory[] args,
+            IHyracksTaskContext context, SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple, byte[] state, int start, int len) throws HyracksDataException {
+        processPartialResults(tuple, state, start, len);
+    }
+
+    @Override
+    public void finish(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finishPartialResults(state, start, len, result);
+    }
+
+    @Override
+    public void finishPartial(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finishPartialResults(state, start, len, result);
+    }
+
+    @Override
+    protected void processNull(byte[] state, int start) {
+        state[start + AGG_TYPE_OFFSET] = ATypeTag.SERIALIZED_NULL_TYPE_TAG;
+    }
+
+    @Override
+    protected boolean skipStep(byte[] state, int start) {
+        ATypeTag aggType = EnumDeserializer.ATYPETAGDESERIALIZER.deserialize(state[start + AGG_TYPE_OFFSET]);
+        return aggType == ATypeTag.NULL;
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.SKEWNESS;
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlKurtosisAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlKurtosisAggregateDescriptor.java
new file mode 100644
index 0000000..6c6841b
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlKurtosisAggregateDescriptor.java
@@ -0,0 +1,63 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractSerializableAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class SerializableIntermediateSqlKurtosisAggregateDescriptor
+        extends AbstractSerializableAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new SerializableIntermediateSqlKurtosisAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.SERIAL_INTERMEDIATE_SQL_KURTOSIS;
+    }
+
+    @Override
+    public ISerializedAggregateEvaluatorFactory createSerializableAggregateEvaluatorFactory(
+            final IScalarEvaluatorFactory[] args) {
+        return new ISerializedAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public ISerializedAggregateEvaluator createAggregateEvaluator(IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new SerializableIntermediateSqlKurtosisAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlKurtosisAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlKurtosisAggregateFunction.java
new file mode 100644
index 0000000..a88e843
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlKurtosisAggregateFunction.java
@@ -0,0 +1,73 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+import java.io.DataOutput;
+
+public class SerializableIntermediateSqlKurtosisAggregateFunction
+        extends AbstractSerializableSingleVariableStatisticsAggregateFunction {
+
+    public SerializableIntermediateSqlKurtosisAggregateFunction(IScalarEvaluatorFactory[] args,
+            IHyracksTaskContext context, SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple, byte[] state, int start, int len) throws HyracksDataException {
+        processPartialResults(tuple, state, start, len);
+    }
+
+    @Override
+    public void finish(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finishPartialResults(state, start, len, result);
+    }
+
+    @Override
+    public void finishPartial(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finishPartialResults(state, start, len, result);
+    }
+
+    @Override
+    protected void processNull(byte[] state, int start) {
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return true;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.KURTOSIS;
+    }
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlSkewnessAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlSkewnessAggregateDescriptor.java
new file mode 100644
index 0000000..8de8850
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlSkewnessAggregateDescriptor.java
@@ -0,0 +1,63 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractSerializableAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class SerializableIntermediateSqlSkewnessAggregateDescriptor
+        extends AbstractSerializableAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new SerializableIntermediateSqlSkewnessAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.SERIAL_INTERMEDIATE_SQL_SKEWNESS;
+    }
+
+    @Override
+    public ISerializedAggregateEvaluatorFactory createSerializableAggregateEvaluatorFactory(
+            final IScalarEvaluatorFactory[] args) {
+        return new ISerializedAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public ISerializedAggregateEvaluator createAggregateEvaluator(IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new SerializableIntermediateSqlSkewnessAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlSkewnessAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlSkewnessAggregateFunction.java
new file mode 100644
index 0000000..c1136da
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlSkewnessAggregateFunction.java
@@ -0,0 +1,73 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+import java.io.DataOutput;
+
+public class SerializableIntermediateSqlSkewnessAggregateFunction
+        extends AbstractSerializableSingleVariableStatisticsAggregateFunction {
+
+    public SerializableIntermediateSqlSkewnessAggregateFunction(IScalarEvaluatorFactory[] args,
+            IHyracksTaskContext context, SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple, byte[] state, int start, int len) throws HyracksDataException {
+        processPartialResults(tuple, state, start, len);
+    }
+
+    @Override
+    public void finish(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finishPartialResults(state, start, len, result);
+    }
+
+    @Override
+    public void finishPartial(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finishPartialResults(state, start, len, result);
+    }
+
+    @Override
+    protected void processNull(byte[] state, int start) {
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.SKEWNESS;
+    }
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlStddevAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlStddevAggregateDescriptor.java
index 094bc18..0bf76fb 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlStddevAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlStddevAggregateDescriptor.java
@@ -43,7 +43,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.SERIAL_INTERMEDIATE_SQL_STDDEV;
+        return BuiltinFunctions.SERIAL_INTERMEDIATE_SQL_STDDEV_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlStddevAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlStddevAggregateFunction.java
index 859cace..6bad42c 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlStddevAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlStddevAggregateFunction.java
@@ -64,7 +64,17 @@
         if (isPop) {
             return BuiltinFunctions.STDDEV_POP;
         } else {
-            return BuiltinFunctions.STDDEV;
+            return BuiltinFunctions.STDDEV_SAMP;
         }
     }
+
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlVarAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlVarAggregateDescriptor.java
index b158e1a..918c998 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlVarAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlVarAggregateDescriptor.java
@@ -43,7 +43,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.SERIAL_INTERMEDIATE_SQL_VAR;
+        return BuiltinFunctions.SERIAL_INTERMEDIATE_SQL_VAR_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlVarAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlVarAggregateFunction.java
index c14dd54..8d51f91 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlVarAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateSqlVarAggregateFunction.java
@@ -64,7 +64,17 @@
         if (isPop) {
             return BuiltinFunctions.VAR_POP;
         } else {
-            return BuiltinFunctions.VAR;
+            return BuiltinFunctions.VAR_SAMP;
         }
     }
+
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateStddevAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateStddevAggregateDescriptor.java
index 346241c..d06a86c 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateStddevAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateStddevAggregateDescriptor.java
@@ -43,7 +43,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.SERIAL_INTERMEDIATE_STDDEV;
+        return BuiltinFunctions.SERIAL_INTERMEDIATE_STDDEV_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateStddevAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateStddevAggregateFunction.java
index cea4625..def8dad 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateStddevAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateStddevAggregateFunction.java
@@ -73,8 +73,17 @@
         if (isPop) {
             return BuiltinFunctions.STDDEV_POP;
         } else {
-            return BuiltinFunctions.STDDEV;
+            return BuiltinFunctions.STDDEV_SAMP;
         }
     }
 
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateVarAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateVarAggregateDescriptor.java
index 377c6d2..6d84a23 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateVarAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateVarAggregateDescriptor.java
@@ -43,7 +43,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.SERIAL_INTERMEDIATE_VAR;
+        return BuiltinFunctions.SERIAL_INTERMEDIATE_VAR_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateVarAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateVarAggregateFunction.java
index dab221e..b6d4db5 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateVarAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableIntermediateVarAggregateFunction.java
@@ -73,8 +73,17 @@
         if (isPop) {
             return BuiltinFunctions.VAR_POP;
         } else {
-            return BuiltinFunctions.VAR;
+            return BuiltinFunctions.VAR_SAMP;
         }
     }
 
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableKurtosisAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableKurtosisAggregateDescriptor.java
new file mode 100644
index 0000000..219348a
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableKurtosisAggregateDescriptor.java
@@ -0,0 +1,62 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractSerializableAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.common.exceptions.AlgebricksException;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class SerializableKurtosisAggregateDescriptor extends AbstractSerializableAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new SerializableKurtosisAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.SERIAL_KURTOSIS;
+    }
+
+    @Override
+    public ISerializedAggregateEvaluatorFactory createSerializableAggregateEvaluatorFactory(
+            final IScalarEvaluatorFactory[] args) throws AlgebricksException {
+        return new ISerializedAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public ISerializedAggregateEvaluator createAggregateEvaluator(IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new SerializableKurtosisAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableKurtosisAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableKurtosisAggregateFunction.java
new file mode 100644
index 0000000..7e7762f
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableKurtosisAggregateFunction.java
@@ -0,0 +1,82 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.types.ATypeTag;
+import org.apache.asterix.om.types.EnumDeserializer;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+import java.io.DataOutput;
+
+public class SerializableKurtosisAggregateFunction
+        extends AbstractSerializableSingleVariableStatisticsAggregateFunction {
+
+    public SerializableKurtosisAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple, byte[] state, int start, int len) throws HyracksDataException {
+        processDataValues(tuple, state, start, len);
+    }
+
+    @Override
+    public void finish(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finishKurtFinalResults(state, start, len, result);
+    }
+
+    @Override
+    public void finishPartial(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finish(state, start, len, result);
+    }
+
+    @Override
+    protected void processNull(byte[] state, int start) {
+        state[start + AGG_TYPE_OFFSET] = ATypeTag.SERIALIZED_NULL_TYPE_TAG;
+    }
+
+    @Override
+    protected boolean skipStep(byte[] state, int start) {
+        ATypeTag aggType = EnumDeserializer.ATYPETAGDESERIALIZER.deserialize(state[start + AGG_TYPE_OFFSET]);
+        return aggType == ATypeTag.NULL;
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return true;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.KURTOSIS;
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalKurtosisAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalKurtosisAggregateDescriptor.java
new file mode 100644
index 0000000..9dc07a4
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalKurtosisAggregateDescriptor.java
@@ -0,0 +1,63 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractSerializableAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class SerializableLocalKurtosisAggregateDescriptor
+        extends AbstractSerializableAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new SerializableLocalKurtosisAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.SERIAL_LOCAL_KURTOSIS;
+    }
+
+    @Override
+    public ISerializedAggregateEvaluatorFactory createSerializableAggregateEvaluatorFactory(
+            final IScalarEvaluatorFactory[] args) {
+        return new ISerializedAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public ISerializedAggregateEvaluator createAggregateEvaluator(IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new SerializableLocalKurtosisAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalKurtosisAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalKurtosisAggregateFunction.java
new file mode 100644
index 0000000..ba4d2ae
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalKurtosisAggregateFunction.java
@@ -0,0 +1,82 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.types.ATypeTag;
+import org.apache.asterix.om.types.EnumDeserializer;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+import java.io.DataOutput;
+
+public class SerializableLocalKurtosisAggregateFunction
+        extends AbstractSerializableSingleVariableStatisticsAggregateFunction {
+
+    public SerializableLocalKurtosisAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple, byte[] state, int start, int len) throws HyracksDataException {
+        processDataValues(tuple, state, start, len);
+    }
+
+    @Override
+    public void finish(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finishPartialResults(state, start, len, result);
+    }
+
+    @Override
+    public void finishPartial(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finish(state, start, len, result);
+    }
+
+    @Override
+    protected void processNull(byte[] state, int start) {
+        state[start + AGG_TYPE_OFFSET] = ATypeTag.SERIALIZED_NULL_TYPE_TAG;
+    }
+
+    @Override
+    protected boolean skipStep(byte[] state, int start) {
+        ATypeTag aggType = EnumDeserializer.ATYPETAGDESERIALIZER.deserialize(state[start + AGG_TYPE_OFFSET]);
+        return aggType == ATypeTag.NULL;
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return true;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.KURTOSIS;
+    }
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSkewnessAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSkewnessAggregateDescriptor.java
new file mode 100644
index 0000000..666753e
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSkewnessAggregateDescriptor.java
@@ -0,0 +1,63 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractSerializableAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class SerializableLocalSkewnessAggregateDescriptor
+        extends AbstractSerializableAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new SerializableLocalSkewnessAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.SERIAL_LOCAL_SKEWNESS;
+    }
+
+    @Override
+    public ISerializedAggregateEvaluatorFactory createSerializableAggregateEvaluatorFactory(
+            final IScalarEvaluatorFactory[] args) {
+        return new ISerializedAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public ISerializedAggregateEvaluator createAggregateEvaluator(IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new SerializableLocalSkewnessAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSkewnessAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSkewnessAggregateFunction.java
new file mode 100644
index 0000000..71a0dde
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSkewnessAggregateFunction.java
@@ -0,0 +1,82 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.types.ATypeTag;
+import org.apache.asterix.om.types.EnumDeserializer;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+import java.io.DataOutput;
+
+public class SerializableLocalSkewnessAggregateFunction
+        extends AbstractSerializableSingleVariableStatisticsAggregateFunction {
+
+    public SerializableLocalSkewnessAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple, byte[] state, int start, int len) throws HyracksDataException {
+        processDataValues(tuple, state, start, len);
+    }
+
+    @Override
+    public void finish(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finishPartialResults(state, start, len, result);
+    }
+
+    @Override
+    public void finishPartial(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finish(state, start, len, result);
+    }
+
+    @Override
+    protected void processNull(byte[] state, int start) {
+        state[start + AGG_TYPE_OFFSET] = ATypeTag.SERIALIZED_NULL_TYPE_TAG;
+    }
+
+    @Override
+    protected boolean skipStep(byte[] state, int start) {
+        ATypeTag aggType = EnumDeserializer.ATYPETAGDESERIALIZER.deserialize(state[start + AGG_TYPE_OFFSET]);
+        return aggType == ATypeTag.NULL;
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.SKEWNESS;
+    }
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlKurtosisAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlKurtosisAggregateDescriptor.java
new file mode 100644
index 0000000..782013d
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlKurtosisAggregateDescriptor.java
@@ -0,0 +1,63 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractSerializableAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class SerializableLocalSqlKurtosisAggregateDescriptor
+        extends AbstractSerializableAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new SerializableLocalSqlKurtosisAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.SERIAL_LOCAL_SQL_KURTOSIS;
+    }
+
+    @Override
+    public ISerializedAggregateEvaluatorFactory createSerializableAggregateEvaluatorFactory(
+            final IScalarEvaluatorFactory[] args) {
+        return new ISerializedAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public ISerializedAggregateEvaluator createAggregateEvaluator(IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new SerializableLocalSqlKurtosisAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlKurtosisAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlKurtosisAggregateFunction.java
new file mode 100644
index 0000000..95692e4
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlKurtosisAggregateFunction.java
@@ -0,0 +1,73 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+import java.io.DataOutput;
+
+public class SerializableLocalSqlKurtosisAggregateFunction
+        extends AbstractSerializableSingleVariableStatisticsAggregateFunction {
+
+    public SerializableLocalSqlKurtosisAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple, byte[] state, int start, int len) throws HyracksDataException {
+        processDataValues(tuple, state, start, len);
+    }
+
+    @Override
+    public void finish(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finishPartialResults(state, start, len, result);
+    }
+
+    @Override
+    public void finishPartial(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finish(state, start, len, result);
+    }
+
+    @Override
+    protected void processNull(byte[] state, int start) {
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return true;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.KURTOSIS;
+    }
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlSkewnessAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlSkewnessAggregateDescriptor.java
new file mode 100644
index 0000000..c40d383
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlSkewnessAggregateDescriptor.java
@@ -0,0 +1,63 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractSerializableAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class SerializableLocalSqlSkewnessAggregateDescriptor
+        extends AbstractSerializableAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new SerializableLocalSqlSkewnessAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.SERIAL_LOCAL_SQL_SKEWNESS;
+    }
+
+    @Override
+    public ISerializedAggregateEvaluatorFactory createSerializableAggregateEvaluatorFactory(
+            final IScalarEvaluatorFactory[] args) {
+        return new ISerializedAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public ISerializedAggregateEvaluator createAggregateEvaluator(IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new SerializableLocalSqlSkewnessAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlSkewnessAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlSkewnessAggregateFunction.java
new file mode 100644
index 0000000..e209249
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlSkewnessAggregateFunction.java
@@ -0,0 +1,73 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+import java.io.DataOutput;
+
+public class SerializableLocalSqlSkewnessAggregateFunction
+        extends AbstractSerializableSingleVariableStatisticsAggregateFunction {
+
+    public SerializableLocalSqlSkewnessAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple, byte[] state, int start, int len) throws HyracksDataException {
+        processDataValues(tuple, state, start, len);
+    }
+
+    @Override
+    public void finish(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finishPartialResults(state, start, len, result);
+    }
+
+    @Override
+    public void finishPartial(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finish(state, start, len, result);
+    }
+
+    @Override
+    protected void processNull(byte[] state, int start) {
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.SKEWNESS;
+    }
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlStddevAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlStddevAggregateDescriptor.java
index 41b64ed..21e6ba1 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlStddevAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlStddevAggregateDescriptor.java
@@ -43,7 +43,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.SERIAL_LOCAL_SQL_STDDEV;
+        return BuiltinFunctions.SERIAL_LOCAL_SQL_STDDEV_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlStddevAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlStddevAggregateFunction.java
index 6215511..8e9e2e2 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlStddevAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlStddevAggregateFunction.java
@@ -64,7 +64,17 @@
         if (isPop) {
             return BuiltinFunctions.STDDEV_POP;
         } else {
-            return BuiltinFunctions.STDDEV;
+            return BuiltinFunctions.STDDEV_SAMP;
         }
     }
+
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlVarAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlVarAggregateDescriptor.java
index 2b0c565..749237d 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlVarAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlVarAggregateDescriptor.java
@@ -42,7 +42,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.SERIAL_LOCAL_SQL_VAR;
+        return BuiltinFunctions.SERIAL_LOCAL_SQL_VAR_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlVarAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlVarAggregateFunction.java
index 675d319..c5be51d 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlVarAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalSqlVarAggregateFunction.java
@@ -64,7 +64,17 @@
         if (isPop) {
             return BuiltinFunctions.VAR_POP;
         } else {
-            return BuiltinFunctions.VAR;
+            return BuiltinFunctions.VAR_SAMP;
         }
     }
+
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalStddevAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalStddevAggregateDescriptor.java
index b8f36dd..577bf87 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalStddevAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalStddevAggregateDescriptor.java
@@ -42,7 +42,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.SERIAL_LOCAL_STDDEV;
+        return BuiltinFunctions.SERIAL_LOCAL_STDDEV_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalStddevAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalStddevAggregateFunction.java
index bd5a80c..54a3a46 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalStddevAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalStddevAggregateFunction.java
@@ -73,7 +73,17 @@
         if (isPop) {
             return BuiltinFunctions.STDDEV_POP;
         } else {
-            return BuiltinFunctions.STDDEV;
+            return BuiltinFunctions.STDDEV_SAMP;
         }
     }
+
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalVarAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalVarAggregateDescriptor.java
index 7337794..f7a44c8 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalVarAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalVarAggregateDescriptor.java
@@ -42,7 +42,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.SERIAL_LOCAL_VAR;
+        return BuiltinFunctions.SERIAL_LOCAL_VAR_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalVarAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalVarAggregateFunction.java
index 04ceef3..9b1f58f 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalVarAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableLocalVarAggregateFunction.java
@@ -73,7 +73,17 @@
         if (isPop) {
             return BuiltinFunctions.VAR_POP;
         } else {
-            return BuiltinFunctions.VAR;
+            return BuiltinFunctions.VAR_SAMP;
         }
     }
+
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSkewnessAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSkewnessAggregateDescriptor.java
new file mode 100644
index 0000000..97feaab
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSkewnessAggregateDescriptor.java
@@ -0,0 +1,62 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractSerializableAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.common.exceptions.AlgebricksException;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class SerializableSkewnessAggregateDescriptor extends AbstractSerializableAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new SerializableSkewnessAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.SERIAL_SKEWNESS;
+    }
+
+    @Override
+    public ISerializedAggregateEvaluatorFactory createSerializableAggregateEvaluatorFactory(
+            final IScalarEvaluatorFactory[] args) throws AlgebricksException {
+        return new ISerializedAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public ISerializedAggregateEvaluator createAggregateEvaluator(IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new SerializableSkewnessAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSkewnessAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSkewnessAggregateFunction.java
new file mode 100644
index 0000000..ee2ce39
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSkewnessAggregateFunction.java
@@ -0,0 +1,82 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.types.ATypeTag;
+import org.apache.asterix.om.types.EnumDeserializer;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+import java.io.DataOutput;
+
+public class SerializableSkewnessAggregateFunction
+        extends AbstractSerializableSingleVariableStatisticsAggregateFunction {
+
+    public SerializableSkewnessAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple, byte[] state, int start, int len) throws HyracksDataException {
+        processDataValues(tuple, state, start, len);
+    }
+
+    @Override
+    public void finish(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finishSkewFinalResults(state, start, len, result);
+    }
+
+    @Override
+    public void finishPartial(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finish(state, start, len, result);
+    }
+
+    @Override
+    protected void processNull(byte[] state, int start) {
+        state[start + AGG_TYPE_OFFSET] = ATypeTag.SERIALIZED_NULL_TYPE_TAG;
+    }
+
+    @Override
+    protected boolean skipStep(byte[] state, int start) {
+        ATypeTag aggType = EnumDeserializer.ATYPETAGDESERIALIZER.deserialize(state[start + AGG_TYPE_OFFSET]);
+        return aggType == ATypeTag.NULL;
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.SKEWNESS;
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlKurtosisAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlKurtosisAggregateDescriptor.java
new file mode 100644
index 0000000..26e7793
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlKurtosisAggregateDescriptor.java
@@ -0,0 +1,60 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractSerializableAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class SerializableSqlKurtosisAggregateDescriptor extends AbstractSerializableAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new SerializableSqlKurtosisAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.SERIAL_SQL_KURTOSIS;
+    }
+
+    @Override
+    public ISerializedAggregateEvaluatorFactory createSerializableAggregateEvaluatorFactory(
+            final IScalarEvaluatorFactory[] args) {
+        return new ISerializedAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public ISerializedAggregateEvaluator createAggregateEvaluator(IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new SerializableSqlKurtosisAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlKurtosisAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlKurtosisAggregateFunction.java
new file mode 100644
index 0000000..b30bc42
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlKurtosisAggregateFunction.java
@@ -0,0 +1,73 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+import java.io.DataOutput;
+
+public class SerializableSqlKurtosisAggregateFunction
+        extends AbstractSerializableSingleVariableStatisticsAggregateFunction {
+
+    public SerializableSqlKurtosisAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple, byte[] state, int start, int len) throws HyracksDataException {
+        processDataValues(tuple, state, start, len);
+    }
+
+    @Override
+    public void finish(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finishKurtFinalResults(state, start, len, result);
+    }
+
+    @Override
+    public void finishPartial(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finish(state, start, len, result);
+    }
+
+    @Override
+    protected void processNull(byte[] state, int start) {
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return true;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.KURTOSIS;
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlSkewnessAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlSkewnessAggregateDescriptor.java
new file mode 100644
index 0000000..a76ed62
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlSkewnessAggregateDescriptor.java
@@ -0,0 +1,60 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractSerializableAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.ISerializedAggregateEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class SerializableSqlSkewnessAggregateDescriptor extends AbstractSerializableAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new SerializableSqlSkewnessAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.SERIAL_SQL_SKEWNESS;
+    }
+
+    @Override
+    public ISerializedAggregateEvaluatorFactory createSerializableAggregateEvaluatorFactory(
+            final IScalarEvaluatorFactory[] args) {
+        return new ISerializedAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public ISerializedAggregateEvaluator createAggregateEvaluator(IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new SerializableSqlSkewnessAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlSkewnessAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlSkewnessAggregateFunction.java
new file mode 100644
index 0000000..9828ffe
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlSkewnessAggregateFunction.java
@@ -0,0 +1,73 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+package org.apache.asterix.runtime.aggregates.serializable.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+import java.io.DataOutput;
+
+public class SerializableSqlSkewnessAggregateFunction
+        extends AbstractSerializableSingleVariableStatisticsAggregateFunction {
+
+    public SerializableSqlSkewnessAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple, byte[] state, int start, int len) throws HyracksDataException {
+        processDataValues(tuple, state, start, len);
+    }
+
+    @Override
+    public void finish(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finishSkewFinalResults(state, start, len, result);
+    }
+
+    @Override
+    public void finishPartial(byte[] state, int start, int len, DataOutput result) throws HyracksDataException {
+        finish(state, start, len, result);
+    }
+
+    @Override
+    protected void processNull(byte[] state, int start) {
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.SKEWNESS;
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlStddevAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlStddevAggregateDescriptor.java
index a046242..b678056 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlStddevAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlStddevAggregateDescriptor.java
@@ -41,7 +41,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.SERIAL_SQL_STDDEV;
+        return BuiltinFunctions.SERIAL_SQL_STDDEV_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlStddevAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlStddevAggregateFunction.java
index 299aa16..df87ad4 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlStddevAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlStddevAggregateFunction.java
@@ -69,8 +69,17 @@
         if (isPop) {
             return BuiltinFunctions.STDDEV_POP;
         } else {
-            return BuiltinFunctions.STDDEV;
+            return BuiltinFunctions.STDDEV_SAMP;
         }
     }
 
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlVarAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlVarAggregateDescriptor.java
index 870b28c..5fb9004 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlVarAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlVarAggregateDescriptor.java
@@ -41,7 +41,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.SERIAL_SQL_VAR;
+        return BuiltinFunctions.SERIAL_SQL_VAR_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlVarAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlVarAggregateFunction.java
index decdc13..37c9b41 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlVarAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableSqlVarAggregateFunction.java
@@ -68,8 +68,17 @@
         if (isPop) {
             return BuiltinFunctions.VAR_POP;
         } else {
-            return BuiltinFunctions.VAR;
+            return BuiltinFunctions.VAR_SAMP;
         }
     }
 
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableStddevAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableStddevAggregateDescriptor.java
index 30a0d1e..d4caf76 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableStddevAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableStddevAggregateDescriptor.java
@@ -42,7 +42,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.SERIAL_STDDEV;
+        return BuiltinFunctions.SERIAL_STDDEV_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableStddevAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableStddevAggregateFunction.java
index c9df585..eee69a8 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableStddevAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableStddevAggregateFunction.java
@@ -77,8 +77,17 @@
         if (isPop) {
             return BuiltinFunctions.STDDEV_POP;
         } else {
-            return BuiltinFunctions.STDDEV;
+            return BuiltinFunctions.STDDEV_SAMP;
         }
     }
 
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableVarAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableVarAggregateDescriptor.java
index bcb79c1..0419f69 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableVarAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableVarAggregateDescriptor.java
@@ -42,7 +42,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.SERIAL_VAR;
+        return BuiltinFunctions.SERIAL_VAR_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableVarAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableVarAggregateFunction.java
index 3e8d275..d897135 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableVarAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/serializable/std/SerializableVarAggregateFunction.java
@@ -77,8 +77,17 @@
         if (isPop) {
             return BuiltinFunctions.VAR_POP;
         } else {
-            return BuiltinFunctions.VAR;
+            return BuiltinFunctions.VAR_SAMP;
         }
     }
 
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/AbstractSingleVarStatisticsAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/AbstractSingleVarStatisticsAggregateFunction.java
index e8cbca7..652af00 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/AbstractSingleVarStatisticsAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/AbstractSingleVarStatisticsAggregateFunction.java
@@ -53,7 +53,9 @@
      */
     private static final int M1_FIELD_ID = 0;
     private static final int M2_FIELD_ID = 1;
-    private static final int COUNT_FIELD_ID = 2;
+    private static final int M3_FIELD_ID = 2;
+    private static final int M4_FIELD_ID = 3;
+    private static final int COUNT_FIELD_ID = 4;
 
     private final ARecordType recType;
 
@@ -70,10 +72,16 @@
     private DataOutput m1BytesOutput = new DataOutputStream(m1Bytes);
     private ByteArrayAccessibleOutputStream m2Bytes = new ByteArrayAccessibleOutputStream();
     private DataOutput m2BytesOutput = new DataOutputStream(m2Bytes);
+    private ByteArrayAccessibleOutputStream m3Bytes = new ByteArrayAccessibleOutputStream();
+    private DataOutput m3BytesOutput = new DataOutputStream(m3Bytes);
+    private ByteArrayAccessibleOutputStream m4Bytes = new ByteArrayAccessibleOutputStream();
+    private DataOutput m4BytesOutput = new DataOutputStream(m4Bytes);
     private ByteArrayAccessibleOutputStream countBytes = new ByteArrayAccessibleOutputStream();
     private DataOutput countBytesOutput = new DataOutputStream(countBytes);
     private IScalarEvaluator evalM1 = new AccessibleByteArrayEval(m1Bytes);
     private IScalarEvaluator evalM2 = new AccessibleByteArrayEval(m2Bytes);
+    private IScalarEvaluator evalM3 = new AccessibleByteArrayEval(m3Bytes);
+    private IScalarEvaluator evalM4 = new AccessibleByteArrayEval(m4Bytes);
     private IScalarEvaluator evalCount = new AccessibleByteArrayEval(countBytes);
     private ClosedRecordConstructorEval recordEval;
 
@@ -91,15 +99,19 @@
             SourceLocation sourceLoc) throws HyracksDataException {
         super(sourceLoc);
         eval = args[0].createScalarEvaluator(context);
-        recType = new ARecordType(null, new String[] { "m1", "m2", "count" },
-                new IAType[] { BuiltinType.ADOUBLE, BuiltinType.ADOUBLE, BuiltinType.AINT64 }, false);
-        recordEval = new ClosedRecordConstructorEval(recType, new IScalarEvaluator[] { evalM1, evalM2, evalCount });
+        recType =
+                new ARecordType(null,
+                        new String[] { "m1", "m2", "m3", "m4", "count" }, new IAType[] { BuiltinType.ADOUBLE,
+                                BuiltinType.ADOUBLE, BuiltinType.ADOUBLE, BuiltinType.ADOUBLE, BuiltinType.AINT64 },
+                        false);
+        recordEval = new ClosedRecordConstructorEval(recType,
+                new IScalarEvaluator[] { evalM1, evalM2, evalM3, evalM4, evalCount });
     }
 
     @Override
     public void init() throws HyracksDataException {
         aggType = ATypeTag.SYSTEM_NULL;
-        moments.set(0, 0, 0);
+        moments.set(0, 0, 0, 0, 0, getM3Flag(), getM4Flag());
     }
 
     @Override
@@ -115,6 +127,10 @@
 
     protected abstract void processNull();
 
+    protected abstract boolean getM3Flag();
+
+    protected abstract boolean getM4Flag();
+
     protected void processDataValues(IFrameTupleReference tuple) throws HyracksDataException {
         if (skipStep()) {
             return;
@@ -191,6 +207,12 @@
                 m2Bytes.reset();
                 aDouble.setValue(moments.getM2());
                 doubleSerde.serialize(aDouble, m2BytesOutput);
+                m3Bytes.reset();
+                aDouble.setValue(moments.getM3());
+                doubleSerde.serialize(aDouble, m3BytesOutput);
+                m4Bytes.reset();
+                aDouble.setValue(moments.getM4());
+                doubleSerde.serialize(aDouble, m4BytesOutput);
                 countBytes.reset();
                 aInt64.setValue(moments.getCount());
                 longSerde.serialize(aInt64, countBytesOutput);
@@ -225,12 +247,18 @@
                         nullBitmapSize, false);
                 int offset2 = ARecordSerializerDeserializer.getFieldOffsetById(serBytes, offset, M2_FIELD_ID,
                         nullBitmapSize, false);
-                int offset3 = ARecordSerializerDeserializer.getFieldOffsetById(serBytes, offset, COUNT_FIELD_ID,
+                int offset3 = ARecordSerializerDeserializer.getFieldOffsetById(serBytes, offset, M3_FIELD_ID,
+                        nullBitmapSize, false);
+                int offset4 = ARecordSerializerDeserializer.getFieldOffsetById(serBytes, offset, M4_FIELD_ID,
+                        nullBitmapSize, false);
+                int offset5 = ARecordSerializerDeserializer.getFieldOffsetById(serBytes, offset, COUNT_FIELD_ID,
                         nullBitmapSize, false);
                 double temp_m1 = ADoubleSerializerDeserializer.getDouble(serBytes, offset1);
                 double temp_m2 = ADoubleSerializerDeserializer.getDouble(serBytes, offset2);
-                long temp_count = AInt64SerializerDeserializer.getLong(serBytes, offset3);
-                moments.combine(temp_m1, temp_m2, temp_count);
+                double temp_m3 = ADoubleSerializerDeserializer.getDouble(serBytes, offset3);
+                double temp_m4 = ADoubleSerializerDeserializer.getDouble(serBytes, offset4);
+                long temp_count = AInt64SerializerDeserializer.getLong(serBytes, offset5);
+                moments.combine(temp_m1, temp_m2, temp_m3, temp_m4, temp_count);
                 break;
             default:
                 throw new UnsupportedItemTypeException(sourceLoc, "intermediate/global-single-var-statistics",
@@ -268,6 +296,40 @@
         result.set(resultStorage);
     }
 
+    protected void finishSkewFinalResults(IPointable result) throws HyracksDataException {
+        resultStorage.reset();
+        try {
+            long count = moments.getCount();
+            double m2 = moments.getM2();
+            if (count <= 2 || aggType == ATypeTag.NULL || (m2 < Double.MIN_VALUE && m2 > -Double.MIN_VALUE)) {
+                nullSerde.serialize(ANull.NULL, resultStorage.getDataOutput());
+            } else {
+                aDouble.setValue(Math.sqrt(count) * moments.getM3() / Math.pow(m2, 1.5));
+                doubleSerde.serialize(aDouble, resultStorage.getDataOutput());
+            }
+        } catch (IOException e) {
+            throw HyracksDataException.create(e);
+        }
+        result.set(resultStorage);
+    }
+
+    protected void finishKurtFinalResults(IPointable result) throws HyracksDataException {
+        resultStorage.reset();
+        try {
+            long count = moments.getCount();
+            double m2 = moments.getM2();
+            if (count <= 2 || aggType == ATypeTag.NULL || (m2 < Double.MIN_VALUE && m2 > -Double.MIN_VALUE)) {
+                nullSerde.serialize(ANull.NULL, resultStorage.getDataOutput());
+            } else {
+                aDouble.setValue(moments.getM4() * count / (m2 * m2) - 3);
+                doubleSerde.serialize(aDouble, resultStorage.getDataOutput());
+            }
+        } catch (IOException e) {
+            throw HyracksDataException.create(e);
+        }
+        result.set(resultStorage);
+    }
+
     protected boolean skipStep() {
         return false;
     }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalKurtosisAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalKurtosisAggregateDescriptor.java
new file mode 100644
index 0000000..4f15fa0
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalKurtosisAggregateDescriptor.java
@@ -0,0 +1,62 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class GlobalKurtosisAggregateDescriptor extends AbstractAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new GlobalKurtosisAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.GLOBAL_KURTOSIS;
+    }
+
+    @Override
+    public IAggregateEvaluatorFactory createAggregateEvaluatorFactory(final IScalarEvaluatorFactory[] args) {
+        return new IAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public IAggregateEvaluator createAggregateEvaluator(final IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new GlobalKurtosisAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalKurtosisAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalKurtosisAggregateFunction.java
new file mode 100644
index 0000000..4cf4481
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalKurtosisAggregateFunction.java
@@ -0,0 +1,79 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.types.ATypeTag;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.data.std.api.IPointable;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+public class GlobalKurtosisAggregateFunction extends AbstractSingleVarStatisticsAggregateFunction {
+
+    public GlobalKurtosisAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple) throws HyracksDataException {
+        processPartialResults(tuple);
+    }
+
+    @Override
+    public void finish(IPointable result) throws HyracksDataException {
+        finishKurtFinalResults(result);
+    }
+
+    @Override
+    public void finishPartial(IPointable result) throws HyracksDataException {
+        finishPartialResults(result);
+    }
+
+    @Override
+    protected void processNull() {
+        aggType = ATypeTag.NULL;
+    }
+
+    @Override
+    protected boolean skipStep() {
+        return aggType == ATypeTag.NULL;
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return true;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.KURTOSIS;
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSkewnessAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSkewnessAggregateDescriptor.java
new file mode 100644
index 0000000..fa8b699
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSkewnessAggregateDescriptor.java
@@ -0,0 +1,62 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class GlobalSkewnessAggregateDescriptor extends AbstractAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new GlobalSkewnessAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.GLOBAL_SKEWNESS;
+    }
+
+    @Override
+    public IAggregateEvaluatorFactory createAggregateEvaluatorFactory(final IScalarEvaluatorFactory[] args) {
+        return new IAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public IAggregateEvaluator createAggregateEvaluator(final IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new GlobalSkewnessAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSkewnessAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSkewnessAggregateFunction.java
new file mode 100644
index 0000000..9813507
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSkewnessAggregateFunction.java
@@ -0,0 +1,79 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.types.ATypeTag;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.data.std.api.IPointable;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+public class GlobalSkewnessAggregateFunction extends AbstractSingleVarStatisticsAggregateFunction {
+
+    public GlobalSkewnessAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple) throws HyracksDataException {
+        processPartialResults(tuple);
+    }
+
+    @Override
+    public void finish(IPointable result) throws HyracksDataException {
+        finishSkewFinalResults(result);
+    }
+
+    @Override
+    public void finishPartial(IPointable result) throws HyracksDataException {
+        finishPartialResults(result);
+    }
+
+    @Override
+    protected void processNull() {
+        aggType = ATypeTag.NULL;
+    }
+
+    @Override
+    protected boolean skipStep() {
+        return aggType == ATypeTag.NULL;
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.SKEWNESS;
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlKurtosisAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlKurtosisAggregateDescriptor.java
new file mode 100644
index 0000000..c38da4a
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlKurtosisAggregateDescriptor.java
@@ -0,0 +1,62 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class GlobalSqlKurtosisAggregateDescriptor extends AbstractAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new GlobalSqlKurtosisAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.GLOBAL_SQL_KURTOSIS;
+    }
+
+    @Override
+    public IAggregateEvaluatorFactory createAggregateEvaluatorFactory(final IScalarEvaluatorFactory[] args) {
+        return new IAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public IAggregateEvaluator createAggregateEvaluator(final IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new GlobalSqlKurtosisAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlKurtosisAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlKurtosisAggregateFunction.java
new file mode 100644
index 0000000..0364d28
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlKurtosisAggregateFunction.java
@@ -0,0 +1,72 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.data.std.api.IPointable;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+public class GlobalSqlKurtosisAggregateFunction extends AbstractSingleVarStatisticsAggregateFunction {
+
+    public GlobalSqlKurtosisAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple) throws HyracksDataException {
+        processPartialResults(tuple);
+    }
+
+    @Override
+    public void finish(IPointable result) throws HyracksDataException {
+        finishKurtFinalResults(result);
+    }
+
+    @Override
+    public void finishPartial(IPointable result) throws HyracksDataException {
+        finishPartialResults(result);
+    }
+
+    @Override
+    protected void processNull() {
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return true;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.KURTOSIS;
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlSkewnessAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlSkewnessAggregateDescriptor.java
new file mode 100644
index 0000000..f656cb9
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlSkewnessAggregateDescriptor.java
@@ -0,0 +1,62 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class GlobalSqlSkewnessAggregateDescriptor extends AbstractAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new GlobalSqlSkewnessAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.GLOBAL_SQL_SKEWNESS;
+    }
+
+    @Override
+    public IAggregateEvaluatorFactory createAggregateEvaluatorFactory(final IScalarEvaluatorFactory[] args) {
+        return new IAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public IAggregateEvaluator createAggregateEvaluator(final IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new GlobalSqlSkewnessAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlSkewnessAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlSkewnessAggregateFunction.java
new file mode 100644
index 0000000..cf404fe
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlSkewnessAggregateFunction.java
@@ -0,0 +1,71 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.data.std.api.IPointable;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+public class GlobalSqlSkewnessAggregateFunction extends AbstractSingleVarStatisticsAggregateFunction {
+
+    public GlobalSqlSkewnessAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple) throws HyracksDataException {
+        processPartialResults(tuple);
+    }
+
+    @Override
+    public void finish(IPointable result) throws HyracksDataException {
+        finishSkewFinalResults(result);
+    }
+
+    @Override
+    public void finishPartial(IPointable result) throws HyracksDataException {
+        finishPartialResults(result);
+    }
+
+    @Override
+    protected void processNull() {
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.SKEWNESS;
+    }
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlStddevAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlStddevAggregateDescriptor.java
index 4a8607a..422b83e 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlStddevAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlStddevAggregateDescriptor.java
@@ -43,7 +43,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.GLOBAL_SQL_STDDEV;
+        return BuiltinFunctions.GLOBAL_SQL_STDDEV_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlStddevAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlStddevAggregateFunction.java
index 8ae5796..60b0aae 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlStddevAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlStddevAggregateFunction.java
@@ -68,8 +68,17 @@
         if (isPop) {
             return BuiltinFunctions.STDDEV_POP;
         } else {
-            return BuiltinFunctions.STDDEV;
+            return BuiltinFunctions.STDDEV_SAMP;
         }
     }
 
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlVarAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlVarAggregateDescriptor.java
index f1ead82..7f1182a 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlVarAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlVarAggregateDescriptor.java
@@ -43,7 +43,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.GLOBAL_SQL_VAR;
+        return BuiltinFunctions.GLOBAL_SQL_VAR_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlVarAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlVarAggregateFunction.java
index a999c33..da09384 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlVarAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalSqlVarAggregateFunction.java
@@ -68,8 +68,17 @@
         if (isPop) {
             return BuiltinFunctions.VAR_POP;
         } else {
-            return BuiltinFunctions.VAR;
+            return BuiltinFunctions.VAR_SAMP;
         }
     }
 
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalStddevAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalStddevAggregateDescriptor.java
index 015abb5..20a9e69 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalStddevAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalStddevAggregateDescriptor.java
@@ -43,7 +43,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.GLOBAL_STDDEV;
+        return BuiltinFunctions.GLOBAL_STDDEV_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalStddevAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalStddevAggregateFunction.java
index e459b6d..394ed29 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalStddevAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalStddevAggregateFunction.java
@@ -75,8 +75,17 @@
         if (isPop) {
             return BuiltinFunctions.STDDEV_POP;
         } else {
-            return BuiltinFunctions.STDDEV;
+            return BuiltinFunctions.STDDEV_SAMP;
         }
     }
 
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalVarAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalVarAggregateDescriptor.java
index 83b7b87..3401e03 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalVarAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalVarAggregateDescriptor.java
@@ -43,7 +43,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.GLOBAL_VAR;
+        return BuiltinFunctions.GLOBAL_VAR_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalVarAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalVarAggregateFunction.java
index 9ee5008..535c243 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalVarAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/GlobalVarAggregateFunction.java
@@ -75,8 +75,17 @@
         if (isPop) {
             return BuiltinFunctions.VAR_POP;
         } else {
-            return BuiltinFunctions.VAR;
+            return BuiltinFunctions.VAR_SAMP;
         }
     }
 
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateKurtosisAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateKurtosisAggregateDescriptor.java
new file mode 100644
index 0000000..42ca6f7
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateKurtosisAggregateDescriptor.java
@@ -0,0 +1,62 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class IntermediateKurtosisAggregateDescriptor extends AbstractAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new IntermediateKurtosisAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.INTERMEDIATE_KURTOSIS;
+    }
+
+    @Override
+    public IAggregateEvaluatorFactory createAggregateEvaluatorFactory(final IScalarEvaluatorFactory[] args) {
+        return new IAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public IAggregateEvaluator createAggregateEvaluator(final IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new IntermediateKurtosisAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateKurtosisAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateKurtosisAggregateFunction.java
new file mode 100644
index 0000000..0d26408
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateKurtosisAggregateFunction.java
@@ -0,0 +1,79 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.types.ATypeTag;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.data.std.api.IPointable;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+public class IntermediateKurtosisAggregateFunction extends AbstractSingleVarStatisticsAggregateFunction {
+
+    public IntermediateKurtosisAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple) throws HyracksDataException {
+        processPartialResults(tuple);
+    }
+
+    @Override
+    public void finish(IPointable result) throws HyracksDataException {
+        finishPartialResults(result);
+    }
+
+    @Override
+    public void finishPartial(IPointable result) throws HyracksDataException {
+        finishPartialResults(result);
+    }
+
+    @Override
+    protected void processNull() {
+        aggType = ATypeTag.NULL;
+    }
+
+    @Override
+    protected boolean skipStep() {
+        return aggType == ATypeTag.NULL;
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return true;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.KURTOSIS;
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSkewnessAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSkewnessAggregateDescriptor.java
new file mode 100644
index 0000000..1f9338f
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSkewnessAggregateDescriptor.java
@@ -0,0 +1,62 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class IntermediateSkewnessAggregateDescriptor extends AbstractAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new IntermediateSkewnessAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.INTERMEDIATE_SKEWNESS;
+    }
+
+    @Override
+    public IAggregateEvaluatorFactory createAggregateEvaluatorFactory(final IScalarEvaluatorFactory[] args) {
+        return new IAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public IAggregateEvaluator createAggregateEvaluator(final IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new IntermediateSkewnessAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSkewnessAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSkewnessAggregateFunction.java
new file mode 100644
index 0000000..bf8bcaf
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSkewnessAggregateFunction.java
@@ -0,0 +1,79 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.types.ATypeTag;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.data.std.api.IPointable;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+public class IntermediateSkewnessAggregateFunction extends AbstractSingleVarStatisticsAggregateFunction {
+
+    public IntermediateSkewnessAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple) throws HyracksDataException {
+        processPartialResults(tuple);
+    }
+
+    @Override
+    public void finish(IPointable result) throws HyracksDataException {
+        finishPartialResults(result);
+    }
+
+    @Override
+    public void finishPartial(IPointable result) throws HyracksDataException {
+        finishPartialResults(result);
+    }
+
+    @Override
+    protected void processNull() {
+        aggType = ATypeTag.NULL;
+    }
+
+    @Override
+    protected boolean skipStep() {
+        return aggType == ATypeTag.NULL;
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.SKEWNESS;
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlKurtosisAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlKurtosisAggregateDescriptor.java
new file mode 100644
index 0000000..95c8ef0
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlKurtosisAggregateDescriptor.java
@@ -0,0 +1,61 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class IntermediateSqlKurtosisAggregateDescriptor extends AbstractAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new IntermediateSqlKurtosisAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.INTERMEDIATE_SQL_KURTOSIS;
+    }
+
+    @Override
+    public IAggregateEvaluatorFactory createAggregateEvaluatorFactory(final IScalarEvaluatorFactory[] args) {
+        return new IAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public IAggregateEvaluator createAggregateEvaluator(final IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new IntermediateSqlKurtosisAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlKurtosisAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlKurtosisAggregateFunction.java
new file mode 100644
index 0000000..b0aa52d
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlKurtosisAggregateFunction.java
@@ -0,0 +1,71 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.data.std.api.IPointable;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+public class IntermediateSqlKurtosisAggregateFunction extends AbstractSingleVarStatisticsAggregateFunction {
+
+    public IntermediateSqlKurtosisAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple) throws HyracksDataException {
+        processPartialResults(tuple);
+    }
+
+    @Override
+    public void finish(IPointable result) throws HyracksDataException {
+        finishPartialResults(result);
+    }
+
+    @Override
+    public void finishPartial(IPointable result) throws HyracksDataException {
+        finishPartialResults(result);
+    }
+
+    @Override
+    protected void processNull() {
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return true;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.KURTOSIS;
+    }
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlSkewnessAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlSkewnessAggregateDescriptor.java
new file mode 100644
index 0000000..d238b25
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlSkewnessAggregateDescriptor.java
@@ -0,0 +1,61 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class IntermediateSqlSkewnessAggregateDescriptor extends AbstractAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new IntermediateSqlSkewnessAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.INTERMEDIATE_SQL_SKEWNESS;
+    }
+
+    @Override
+    public IAggregateEvaluatorFactory createAggregateEvaluatorFactory(final IScalarEvaluatorFactory[] args) {
+        return new IAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public IAggregateEvaluator createAggregateEvaluator(final IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new IntermediateSqlSkewnessAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlSkewnessAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlSkewnessAggregateFunction.java
new file mode 100644
index 0000000..6891521
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlSkewnessAggregateFunction.java
@@ -0,0 +1,71 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.data.std.api.IPointable;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+public class IntermediateSqlSkewnessAggregateFunction extends AbstractSingleVarStatisticsAggregateFunction {
+
+    public IntermediateSqlSkewnessAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple) throws HyracksDataException {
+        processPartialResults(tuple);
+    }
+
+    @Override
+    public void finish(IPointable result) throws HyracksDataException {
+        finishPartialResults(result);
+    }
+
+    @Override
+    public void finishPartial(IPointable result) throws HyracksDataException {
+        finishPartialResults(result);
+    }
+
+    @Override
+    protected void processNull() {
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.SKEWNESS;
+    }
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlStddevAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlStddevAggregateDescriptor.java
index 6d979da..5319044 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlStddevAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlStddevAggregateDescriptor.java
@@ -42,7 +42,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.INTERMEDIATE_SQL_STDDEV;
+        return BuiltinFunctions.INTERMEDIATE_SQL_STDDEV_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlStddevAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlStddevAggregateFunction.java
index 5711d0a..4f8af15 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlStddevAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlStddevAggregateFunction.java
@@ -62,7 +62,17 @@
         if (isPop) {
             return BuiltinFunctions.STDDEV_POP;
         } else {
-            return BuiltinFunctions.STDDEV;
+            return BuiltinFunctions.STDDEV_SAMP;
         }
     }
+
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlVarAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlVarAggregateDescriptor.java
index 8f01239..c0a8072 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlVarAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlVarAggregateDescriptor.java
@@ -42,7 +42,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.INTERMEDIATE_SQL_VAR;
+        return BuiltinFunctions.INTERMEDIATE_SQL_VAR_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlVarAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlVarAggregateFunction.java
index efcb334..ada2873 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlVarAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateSqlVarAggregateFunction.java
@@ -62,7 +62,17 @@
         if (isPop) {
             return BuiltinFunctions.VAR_POP;
         } else {
-            return BuiltinFunctions.VAR;
+            return BuiltinFunctions.VAR_SAMP;
         }
     }
+
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateStddevAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateStddevAggregateDescriptor.java
index 34248d1..dcb9ce5 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateStddevAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateStddevAggregateDescriptor.java
@@ -43,7 +43,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.INTERMEDIATE_STDDEV;
+        return BuiltinFunctions.INTERMEDIATE_STDDEV_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateStddevAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateStddevAggregateFunction.java
index 77b5bf0..69c06b4 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateStddevAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateStddevAggregateFunction.java
@@ -70,8 +70,17 @@
         if (isPop) {
             return BuiltinFunctions.STDDEV_POP;
         } else {
-            return BuiltinFunctions.STDDEV;
+            return BuiltinFunctions.STDDEV_SAMP;
         }
     }
 
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateVarAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateVarAggregateDescriptor.java
index 6da3083..0965352 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateVarAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateVarAggregateDescriptor.java
@@ -43,7 +43,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.INTERMEDIATE_VAR;
+        return BuiltinFunctions.INTERMEDIATE_VAR_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateVarAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateVarAggregateFunction.java
index 214ae47..ee5f65f 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateVarAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/IntermediateVarAggregateFunction.java
@@ -69,8 +69,17 @@
         if (isPop) {
             return BuiltinFunctions.VAR_POP;
         } else {
-            return BuiltinFunctions.VAR;
+            return BuiltinFunctions.VAR_SAMP;
         }
     }
 
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/KurtosisAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/KurtosisAggregateDescriptor.java
new file mode 100644
index 0000000..bcea554
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/KurtosisAggregateDescriptor.java
@@ -0,0 +1,61 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class KurtosisAggregateDescriptor extends AbstractAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new KurtosisAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.KURTOSIS;
+    }
+
+    @Override
+    public IAggregateEvaluatorFactory createAggregateEvaluatorFactory(final IScalarEvaluatorFactory[] args) {
+        return new IAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public IAggregateEvaluator createAggregateEvaluator(final IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new KurtosisAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/KurtosisAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/KurtosisAggregateFunction.java
new file mode 100644
index 0000000..e2e3cbd
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/KurtosisAggregateFunction.java
@@ -0,0 +1,79 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.types.ATypeTag;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.data.std.api.IPointable;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+public class KurtosisAggregateFunction extends AbstractSingleVarStatisticsAggregateFunction {
+
+    public KurtosisAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple) throws HyracksDataException {
+        processDataValues(tuple);
+    }
+
+    @Override
+    public void finish(IPointable result) throws HyracksDataException {
+        finishKurtFinalResults(result);
+    }
+
+    @Override
+    public void finishPartial(IPointable result) throws HyracksDataException {
+        finish(result);
+    }
+
+    @Override
+    protected void processNull() {
+        aggType = ATypeTag.NULL;
+    }
+
+    @Override
+    protected boolean skipStep() {
+        return aggType == ATypeTag.NULL;
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return true;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.KURTOSIS;
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalKurtosisAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalKurtosisAggregateDescriptor.java
new file mode 100644
index 0000000..77dd321
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalKurtosisAggregateDescriptor.java
@@ -0,0 +1,60 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class LocalKurtosisAggregateDescriptor extends AbstractAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new LocalKurtosisAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.LOCAL_KURTOSIS;
+    }
+
+    @Override
+    public IAggregateEvaluatorFactory createAggregateEvaluatorFactory(final IScalarEvaluatorFactory[] args) {
+        return new IAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public IAggregateEvaluator createAggregateEvaluator(final IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new LocalKurtosisAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalKurtosisAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalKurtosisAggregateFunction.java
new file mode 100644
index 0000000..9fd44b0
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalKurtosisAggregateFunction.java
@@ -0,0 +1,79 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.types.ATypeTag;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.data.std.api.IPointable;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+public class LocalKurtosisAggregateFunction extends AbstractSingleVarStatisticsAggregateFunction {
+
+    public LocalKurtosisAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple) throws HyracksDataException {
+        processDataValues(tuple);
+    }
+
+    @Override
+    public void finish(IPointable result) throws HyracksDataException {
+        finishPartialResults(result);
+    }
+
+    @Override
+    public void finishPartial(IPointable result) throws HyracksDataException {
+        finish(result);
+    }
+
+    @Override
+    protected void processNull() {
+        aggType = ATypeTag.NULL;
+    }
+
+    @Override
+    protected boolean skipStep() {
+        return aggType == ATypeTag.NULL;
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return true;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.KURTOSIS;
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSkewnessAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSkewnessAggregateDescriptor.java
new file mode 100644
index 0000000..39df55d
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSkewnessAggregateDescriptor.java
@@ -0,0 +1,60 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class LocalSkewnessAggregateDescriptor extends AbstractAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new LocalSkewnessAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.LOCAL_SKEWNESS;
+    }
+
+    @Override
+    public IAggregateEvaluatorFactory createAggregateEvaluatorFactory(final IScalarEvaluatorFactory[] args) {
+        return new IAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public IAggregateEvaluator createAggregateEvaluator(final IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new LocalSkewnessAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSkewnessAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSkewnessAggregateFunction.java
new file mode 100644
index 0000000..7904a0a
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSkewnessAggregateFunction.java
@@ -0,0 +1,79 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.types.ATypeTag;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.data.std.api.IPointable;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+public class LocalSkewnessAggregateFunction extends AbstractSingleVarStatisticsAggregateFunction {
+
+    public LocalSkewnessAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple) throws HyracksDataException {
+        processDataValues(tuple);
+    }
+
+    @Override
+    public void finish(IPointable result) throws HyracksDataException {
+        finishPartialResults(result);
+    }
+
+    @Override
+    public void finishPartial(IPointable result) throws HyracksDataException {
+        finish(result);
+    }
+
+    @Override
+    protected void processNull() {
+        aggType = ATypeTag.NULL;
+    }
+
+    @Override
+    protected boolean skipStep() {
+        return aggType == ATypeTag.NULL;
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.SKEWNESS;
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlKurtosisAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlKurtosisAggregateDescriptor.java
new file mode 100644
index 0000000..69cfca4
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlKurtosisAggregateDescriptor.java
@@ -0,0 +1,60 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class LocalSqlKurtosisAggregateDescriptor extends AbstractAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new LocalSqlKurtosisAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.LOCAL_SQL_KURTOSIS;
+    }
+
+    @Override
+    public IAggregateEvaluatorFactory createAggregateEvaluatorFactory(final IScalarEvaluatorFactory[] args) {
+        return new IAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public IAggregateEvaluator createAggregateEvaluator(final IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new LocalSqlKurtosisAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlKurtosisAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlKurtosisAggregateFunction.java
new file mode 100644
index 0000000..5006f73
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlKurtosisAggregateFunction.java
@@ -0,0 +1,71 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.data.std.api.IPointable;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+public class LocalSqlKurtosisAggregateFunction extends AbstractSingleVarStatisticsAggregateFunction {
+
+    public LocalSqlKurtosisAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple) throws HyracksDataException {
+        processDataValues(tuple);
+    }
+
+    @Override
+    public void finish(IPointable result) throws HyracksDataException {
+        finishPartialResults(result);
+    }
+
+    @Override
+    public void finishPartial(IPointable result) throws HyracksDataException {
+        finish(result);
+    }
+
+    @Override
+    protected void processNull() {
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return true;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.KURTOSIS;
+    }
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlSkewnessAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlSkewnessAggregateDescriptor.java
new file mode 100644
index 0000000..e2691ab
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlSkewnessAggregateDescriptor.java
@@ -0,0 +1,60 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class LocalSqlSkewnessAggregateDescriptor extends AbstractAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new LocalSqlSkewnessAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.LOCAL_SQL_SKEWNESS;
+    }
+
+    @Override
+    public IAggregateEvaluatorFactory createAggregateEvaluatorFactory(final IScalarEvaluatorFactory[] args) {
+        return new IAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public IAggregateEvaluator createAggregateEvaluator(final IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new LocalSqlSkewnessAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlSkewnessAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlSkewnessAggregateFunction.java
new file mode 100644
index 0000000..504d506
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlSkewnessAggregateFunction.java
@@ -0,0 +1,71 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.data.std.api.IPointable;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+public class LocalSqlSkewnessAggregateFunction extends AbstractSingleVarStatisticsAggregateFunction {
+
+    public LocalSqlSkewnessAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple) throws HyracksDataException {
+        processDataValues(tuple);
+    }
+
+    @Override
+    public void finish(IPointable result) throws HyracksDataException {
+        finishPartialResults(result);
+    }
+
+    @Override
+    public void finishPartial(IPointable result) throws HyracksDataException {
+        finish(result);
+    }
+
+    @Override
+    protected void processNull() {
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.SKEWNESS;
+    }
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlStddevAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlStddevAggregateDescriptor.java
index 34d2e72..61df257 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlStddevAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlStddevAggregateDescriptor.java
@@ -42,7 +42,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.LOCAL_SQL_STDDEV;
+        return BuiltinFunctions.LOCAL_SQL_STDDEV_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlStddevAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlStddevAggregateFunction.java
index 205d931..da02806 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlStddevAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlStddevAggregateFunction.java
@@ -62,7 +62,17 @@
         if (isPop) {
             return BuiltinFunctions.STDDEV_POP;
         } else {
-            return BuiltinFunctions.STDDEV;
+            return BuiltinFunctions.STDDEV_SAMP;
         }
     }
+
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlVarAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlVarAggregateDescriptor.java
index 035abbb..3396632 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlVarAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlVarAggregateDescriptor.java
@@ -42,7 +42,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.LOCAL_SQL_VAR;
+        return BuiltinFunctions.LOCAL_SQL_VAR_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlVarAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlVarAggregateFunction.java
index 85fd011..5e39502 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlVarAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalSqlVarAggregateFunction.java
@@ -62,7 +62,17 @@
         if (isPop) {
             return BuiltinFunctions.VAR_POP;
         } else {
-            return BuiltinFunctions.VAR;
+            return BuiltinFunctions.VAR_SAMP;
         }
     }
+
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalStddevAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalStddevAggregateDescriptor.java
index 9cd6b5d..7319c54 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalStddevAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalStddevAggregateDescriptor.java
@@ -42,7 +42,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.LOCAL_STDDEV;
+        return BuiltinFunctions.LOCAL_STDDEV_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalStddevAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalStddevAggregateFunction.java
index c9cf9a7..ff217e6 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalStddevAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalStddevAggregateFunction.java
@@ -69,8 +69,17 @@
         if (isPop) {
             return BuiltinFunctions.STDDEV_POP;
         } else {
-            return BuiltinFunctions.STDDEV;
+            return BuiltinFunctions.STDDEV_SAMP;
         }
     }
 
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalVarAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalVarAggregateDescriptor.java
index f25364a..916d3a4 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalVarAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalVarAggregateDescriptor.java
@@ -42,7 +42,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.LOCAL_VAR;
+        return BuiltinFunctions.LOCAL_VAR_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalVarAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalVarAggregateFunction.java
index 41ec26d..c2a3208 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalVarAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/LocalVarAggregateFunction.java
@@ -69,8 +69,17 @@
         if (isPop) {
             return BuiltinFunctions.VAR_POP;
         } else {
-            return BuiltinFunctions.VAR;
+            return BuiltinFunctions.VAR_SAMP;
         }
     }
 
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SkewnessAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SkewnessAggregateDescriptor.java
new file mode 100644
index 0000000..988d971
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SkewnessAggregateDescriptor.java
@@ -0,0 +1,61 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class SkewnessAggregateDescriptor extends AbstractAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new SkewnessAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.SKEWNESS;
+    }
+
+    @Override
+    public IAggregateEvaluatorFactory createAggregateEvaluatorFactory(final IScalarEvaluatorFactory[] args) {
+        return new IAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public IAggregateEvaluator createAggregateEvaluator(final IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new SkewnessAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SkewnessAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SkewnessAggregateFunction.java
new file mode 100644
index 0000000..742f4aa
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SkewnessAggregateFunction.java
@@ -0,0 +1,79 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.types.ATypeTag;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.data.std.api.IPointable;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+public class SkewnessAggregateFunction extends AbstractSingleVarStatisticsAggregateFunction {
+
+    public SkewnessAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple) throws HyracksDataException {
+        processDataValues(tuple);
+    }
+
+    @Override
+    public void finish(IPointable result) throws HyracksDataException {
+        finishSkewFinalResults(result);
+    }
+
+    @Override
+    public void finishPartial(IPointable result) throws HyracksDataException {
+        finish(result);
+    }
+
+    @Override
+    protected void processNull() {
+        aggType = ATypeTag.NULL;
+    }
+
+    @Override
+    protected boolean skipStep() {
+        return aggType == ATypeTag.NULL;
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.SKEWNESS;
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlKurtosisAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlKurtosisAggregateDescriptor.java
new file mode 100644
index 0000000..de063aa
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlKurtosisAggregateDescriptor.java
@@ -0,0 +1,61 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class SqlKurtosisAggregateDescriptor extends AbstractAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new SqlKurtosisAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.SQL_KURTOSIS;
+    }
+
+    @Override
+    public IAggregateEvaluatorFactory createAggregateEvaluatorFactory(final IScalarEvaluatorFactory[] args) {
+        return new IAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public IAggregateEvaluator createAggregateEvaluator(final IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new SqlKurtosisAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlKurtosisAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlKurtosisAggregateFunction.java
new file mode 100644
index 0000000..ffbfcd1
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlKurtosisAggregateFunction.java
@@ -0,0 +1,71 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.data.std.api.IPointable;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+public class SqlKurtosisAggregateFunction extends AbstractSingleVarStatisticsAggregateFunction {
+
+    public SqlKurtosisAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple) throws HyracksDataException {
+        processDataValues(tuple);
+    }
+
+    @Override
+    public void finish(IPointable result) throws HyracksDataException {
+        finishKurtFinalResults(result);
+    }
+
+    @Override
+    public void finishPartial(IPointable result) throws HyracksDataException {
+        finishPartialResults(result);
+    }
+
+    @Override
+    protected void processNull() {
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return true;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.KURTOSIS;
+    }
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlSkewnessAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlSkewnessAggregateDescriptor.java
new file mode 100644
index 0000000..665fb11
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlSkewnessAggregateDescriptor.java
@@ -0,0 +1,61 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.asterix.om.functions.IFunctionDescriptor;
+import org.apache.asterix.om.functions.IFunctionDescriptorFactory;
+import org.apache.asterix.runtime.aggregates.base.AbstractAggregateFunctionDynamicDescriptor;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluator;
+import org.apache.hyracks.algebricks.runtime.base.IAggregateEvaluatorFactory;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+
+public class SqlSkewnessAggregateDescriptor extends AbstractAggregateFunctionDynamicDescriptor {
+
+    private static final long serialVersionUID = 1L;
+    public static final IFunctionDescriptorFactory FACTORY = new IFunctionDescriptorFactory() {
+        @Override
+        public IFunctionDescriptor createFunctionDescriptor() {
+            return new SqlSkewnessAggregateDescriptor();
+        }
+    };
+
+    @Override
+    public FunctionIdentifier getIdentifier() {
+        return BuiltinFunctions.SQL_SKEWNESS;
+    }
+
+    @Override
+    public IAggregateEvaluatorFactory createAggregateEvaluatorFactory(final IScalarEvaluatorFactory[] args) {
+        return new IAggregateEvaluatorFactory() {
+            private static final long serialVersionUID = 1L;
+
+            @Override
+            public IAggregateEvaluator createAggregateEvaluator(final IHyracksTaskContext ctx)
+                    throws HyracksDataException {
+                return new SqlSkewnessAggregateFunction(args, ctx, sourceLoc);
+            }
+        };
+    }
+
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlSkewnessAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlSkewnessAggregateFunction.java
new file mode 100644
index 0000000..7ee1d8c
--- /dev/null
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlSkewnessAggregateFunction.java
@@ -0,0 +1,71 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one
+ * or more contributor license agreements.  See the NOTICE file
+ * distributed with this work for additional information
+ * regarding copyright ownership.  The ASF licenses this file
+ * to you under the Apache License, Version 2.0 (the
+ * "License"); you may not use this file except in compliance
+ * with the License.  You may obtain a copy of the License at
+ *
+ *   http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing,
+ * software distributed under the License is distributed on an
+ * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+ * KIND, either express or implied.  See the License for the
+ * specific language governing permissions and limitations
+ * under the License.
+ */
+
+package org.apache.asterix.runtime.aggregates.std;
+
+import org.apache.asterix.om.functions.BuiltinFunctions;
+import org.apache.hyracks.algebricks.core.algebra.functions.FunctionIdentifier;
+import org.apache.hyracks.algebricks.runtime.base.IScalarEvaluatorFactory;
+import org.apache.hyracks.api.context.IHyracksTaskContext;
+import org.apache.hyracks.api.exceptions.HyracksDataException;
+import org.apache.hyracks.api.exceptions.SourceLocation;
+import org.apache.hyracks.data.std.api.IPointable;
+import org.apache.hyracks.dataflow.common.data.accessors.IFrameTupleReference;
+
+public class SqlSkewnessAggregateFunction extends AbstractSingleVarStatisticsAggregateFunction {
+
+    public SqlSkewnessAggregateFunction(IScalarEvaluatorFactory[] args, IHyracksTaskContext context,
+            SourceLocation sourceLoc) throws HyracksDataException {
+        super(args, context, sourceLoc);
+    }
+
+    @Override
+    public void step(IFrameTupleReference tuple) throws HyracksDataException {
+        processDataValues(tuple);
+    }
+
+    @Override
+    public void finish(IPointable result) throws HyracksDataException {
+        finishSkewFinalResults(result);
+    }
+
+    @Override
+    public void finishPartial(IPointable result) throws HyracksDataException {
+        finishPartialResults(result);
+    }
+
+    @Override
+    protected void processNull() {
+    }
+
+    @Override
+    protected boolean getM3Flag() {
+        return true;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
+
+    @Override
+    protected FunctionIdentifier getFunctionIdentifier() {
+        return BuiltinFunctions.SKEWNESS;
+    }
+}
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlStddevAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlStddevAggregateDescriptor.java
index 0124aec..91a84e6 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlStddevAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlStddevAggregateDescriptor.java
@@ -42,7 +42,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.SQL_STDDEV;
+        return BuiltinFunctions.SQL_STDDEV_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlStddevAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlStddevAggregateFunction.java
index 97807a0..39b0c9d 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlStddevAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlStddevAggregateFunction.java
@@ -68,7 +68,17 @@
         if (isPop) {
             return BuiltinFunctions.STDDEV_POP;
         } else {
-            return BuiltinFunctions.STDDEV;
+            return BuiltinFunctions.STDDEV_SAMP;
         }
     }
+
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlVarAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlVarAggregateDescriptor.java
index aaa4863..6857e59 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlVarAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlVarAggregateDescriptor.java
@@ -42,7 +42,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.SQL_VAR;
+        return BuiltinFunctions.SQL_VAR_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlVarAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlVarAggregateFunction.java
index e1c8793..e25b546 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlVarAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/SqlVarAggregateFunction.java
@@ -68,7 +68,17 @@
         if (isPop) {
             return BuiltinFunctions.VAR_POP;
         } else {
-            return BuiltinFunctions.VAR;
+            return BuiltinFunctions.VAR_SAMP;
         }
     }
+
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/StddevAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/StddevAggregateDescriptor.java
index 07dcbd0..86ddb59 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/StddevAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/StddevAggregateDescriptor.java
@@ -42,7 +42,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.STDDEV;
+        return BuiltinFunctions.STDDEV_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/StddevAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/StddevAggregateFunction.java
index 553562e..be743d8 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/StddevAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/StddevAggregateFunction.java
@@ -75,8 +75,17 @@
         if (isPop) {
             return BuiltinFunctions.STDDEV_POP;
         } else {
-            return BuiltinFunctions.STDDEV;
+            return BuiltinFunctions.STDDEV_SAMP;
         }
     }
 
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/VarAggregateDescriptor.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/VarAggregateDescriptor.java
index 5e36fba..2592420 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/VarAggregateDescriptor.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/VarAggregateDescriptor.java
@@ -42,7 +42,7 @@
 
     @Override
     public FunctionIdentifier getIdentifier() {
-        return BuiltinFunctions.VAR;
+        return BuiltinFunctions.VAR_SAMP;
     }
 
     @Override
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/VarAggregateFunction.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/VarAggregateFunction.java
index aed39ee..4c9f55f 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/VarAggregateFunction.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/std/VarAggregateFunction.java
@@ -75,8 +75,17 @@
         if (isPop) {
             return BuiltinFunctions.VAR_POP;
         } else {
-            return BuiltinFunctions.VAR;
+            return BuiltinFunctions.VAR_SAMP;
         }
     }
 
+    @Override
+    protected boolean getM3Flag() {
+        return false;
+    }
+
+    @Override
+    protected boolean getM4Flag() {
+        return false;
+    }
 }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/utils/SingleVarFunctionsUtil.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/utils/SingleVarFunctionsUtil.java
index 3ce6a39..7528c59 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/utils/SingleVarFunctionsUtil.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/aggregates/utils/SingleVarFunctionsUtil.java
@@ -29,7 +29,11 @@
 public class SingleVarFunctionsUtil {
     private double m1;
     private double m2;
+    private double m3;
+    private double m4;
     private long count;
+    private boolean m3Flag;
+    private boolean m4Flag;
 
     public SingleVarFunctionsUtil() {
         m1 = 0.0;
@@ -42,18 +46,27 @@
      *
      * @param  moment1  first moment (mean) of the data sample
      * @param  moment2  second moment of the data sample
+     * @param  moment3  third moment of the data sample
+     * @param  moment4  fourth moment of the data sample
      * @param  cnt      number of samples
+     * @param  moment3Flag   boolean flag to update the value of the third moment when adding values to the data sample
+     * @param  moment4Flag   boolean flag to update the value of the fourth moment when adding values to the data sample
      */
-    public void set(double moment1, double moment2, long cnt) {
+    public void set(double moment1, double moment2, double moment3, double moment4, long cnt, boolean moment3Flag,
+            boolean moment4Flag) {
         m1 = moment1;
         m2 = moment2;
+        m3 = moment3;
+        m4 = moment4;
         count = cnt;
+        m3Flag = moment3Flag;
+        m4Flag = moment4Flag;
     }
 
     /**
      * Update the central moments after adding val to your data sample
      *
-     * @param  val  value to add to the data sample
+     * @param  val      value to add to the data sample
      */
     public void push(double val) {
         count++;
@@ -61,6 +74,13 @@
         double delta_n = delta / count;
         double term1 = delta * delta_n * (count - 1);
         m1 += delta / count;
+        if (m4Flag) {
+            m4 += term1 * delta_n * delta_n * (count * count - 3 * count + 3);
+            m4 += 6 * delta_n * delta_n * m2 - 4 * delta_n * m3;
+        }
+        if (m3Flag) {
+            m3 += term1 * delta_n * (count - 2) - 3 * delta_n * m2;
+        }
         m2 += term1;
     }
 
@@ -69,11 +89,24 @@
      *
      * @param  moment1  first moment (mean) of the data sample
      * @param  moment2  second moment of the data sample
+     * @param  moment3  third moment of the data sample
+     * @param  moment4  fourth moment of the data sample
      * @param  cnt      number of samples
      */
-    public void combine(double moment1, double moment2, long cnt) {
+    public void combine(double moment1, double moment2, double moment3, double moment4, long cnt) {
         double delta = moment1 - m1;
         long combined_count = count + cnt;
+        if (m3Flag) {
+            double delta3 = delta * delta * delta;
+            if (m4Flag) {
+                m4 += moment4 + delta3 * delta * count * cnt * (count * count - count * cnt + cnt * cnt)
+                        / (combined_count * combined_count * combined_count);
+                m4 += 6 * delta * delta * (count * count * moment2 + cnt * cnt * m2) / (combined_count * combined_count)
+                        + 4 * delta * (count * moment3 - cnt * m3) / combined_count;
+            }
+            m3 += moment3 + delta3 * count * cnt * (count - cnt) / (combined_count * combined_count);
+            m3 += 3 * delta * (count * moment2 - cnt * m2) / combined_count;
+        }
         m1 = (count * m1 + cnt * moment1) / combined_count;
         m2 += moment2 + delta * delta * count * cnt / combined_count;
         count = combined_count;
@@ -87,6 +120,14 @@
         return m2;
     }
 
+    public double getM3() {
+        return m3;
+    }
+
+    public double getM4() {
+        return m4;
+    }
+
     public long getCount() {
         return count;
     }
diff --git a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/functions/FunctionCollection.java b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/functions/FunctionCollection.java
index 3d87d75..71305ca 100644
--- a/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/functions/FunctionCollection.java
+++ b/asterixdb/asterix-runtime/src/main/java/org/apache/asterix/runtime/functions/FunctionCollection.java
@@ -34,12 +34,16 @@
 import org.apache.asterix.runtime.aggregates.collections.LocalFirstElementAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.scalar.ScalarAvgAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.scalar.ScalarCountAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.scalar.ScalarKurtosisAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.scalar.ScalarMaxAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.scalar.ScalarMinAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.scalar.ScalarSkewnessAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.scalar.ScalarSqlAvgAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.scalar.ScalarSqlCountAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.scalar.ScalarSqlKurtosisAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.scalar.ScalarSqlMaxAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.scalar.ScalarSqlMinAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.scalar.ScalarSqlSkewnessAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.scalar.ScalarSqlStddevAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.scalar.ScalarSqlStddevPopAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.scalar.ScalarSqlSumAggregateDescriptor;
@@ -53,7 +57,11 @@
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableAvgAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableCountAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableGlobalAvgAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.serializable.std.SerializableGlobalKurtosisAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.serializable.std.SerializableGlobalSkewnessAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableGlobalSqlAvgAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.serializable.std.SerializableGlobalSqlKurtosisAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.serializable.std.SerializableGlobalSqlSkewnessAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableGlobalSqlStddevAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableGlobalSqlStddevPopAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableGlobalSqlSumAggregateDescriptor;
@@ -65,7 +73,11 @@
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableGlobalVarAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableGlobalVarPopAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableIntermediateAvgAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.serializable.std.SerializableIntermediateKurtosisAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.serializable.std.SerializableIntermediateSkewnessAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableIntermediateSqlAvgAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.serializable.std.SerializableIntermediateSqlKurtosisAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.serializable.std.SerializableIntermediateSqlSkewnessAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableIntermediateSqlStddevAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableIntermediateSqlStddevPopAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableIntermediateSqlSumAggregateDescriptor;
@@ -76,8 +88,13 @@
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableIntermediateSumAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableIntermediateVarAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableIntermediateVarPopAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.serializable.std.SerializableKurtosisAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableLocalAvgAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.serializable.std.SerializableLocalKurtosisAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.serializable.std.SerializableLocalSkewnessAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableLocalSqlAvgAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.serializable.std.SerializableLocalSqlKurtosisAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.serializable.std.SerializableLocalSqlSkewnessAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableLocalSqlStddevAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableLocalSqlStddevPopAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableLocalStddevAggregateDescriptor;
@@ -88,8 +105,11 @@
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableLocalSqlVarPopAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableLocalVarAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableLocalVarPopAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.serializable.std.SerializableSkewnessAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableSqlAvgAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableSqlCountAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.serializable.std.SerializableSqlKurtosisAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.serializable.std.SerializableSqlSkewnessAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableSqlStddevAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableSqlStddevPopAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.serializable.std.SerializableSqlSumAggregateDescriptor;
@@ -108,7 +128,11 @@
 import org.apache.asterix.runtime.aggregates.std.IntermediateSqlSumAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.IntermediateSumAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.RangeMapAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.std.GlobalKurtosisAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.std.GlobalSkewnessAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.GlobalSqlAvgAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.std.GlobalSqlKurtosisAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.std.GlobalSqlSkewnessAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.GlobalSqlStddevAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.GlobalSqlStddevPopAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.GlobalStddevAggregateDescriptor;
@@ -118,7 +142,11 @@
 import org.apache.asterix.runtime.aggregates.std.GlobalVarAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.GlobalVarPopAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.IntermediateAvgAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.std.IntermediateKurtosisAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.std.IntermediateSkewnessAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.IntermediateSqlAvgAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.std.IntermediateSqlKurtosisAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.std.IntermediateSqlSkewnessAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.IntermediateSqlStddevAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.IntermediateSqlStddevPopAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.IntermediateStddevAggregateDescriptor;
@@ -127,13 +155,18 @@
 import org.apache.asterix.runtime.aggregates.std.IntermediateSqlVarPopAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.IntermediateVarAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.IntermediateVarPopAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.std.KurtosisAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.LocalAvgAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.std.LocalKurtosisAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.LocalMaxAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.LocalMinAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.LocalSamplingAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.std.LocalSkewnessAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.LocalSqlAvgAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.std.LocalSqlKurtosisAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.LocalSqlMaxAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.LocalSqlMinAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.std.LocalSqlSkewnessAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.LocalSqlStddevAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.LocalSqlStddevPopAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.LocalSqlSumAggregateDescriptor;
@@ -146,10 +179,13 @@
 import org.apache.asterix.runtime.aggregates.std.LocalVarPopAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.MaxAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.MinAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.std.SkewnessAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.SqlAvgAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.SqlCountAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.std.SqlKurtosisAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.SqlMaxAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.SqlMinAggregateDescriptor;
+import org.apache.asterix.runtime.aggregates.std.SqlSkewnessAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.SqlStddevAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.SqlStddevPopAggregateDescriptor;
 import org.apache.asterix.runtime.aggregates.std.SqlSumAggregateDescriptor;
@@ -555,6 +591,14 @@
         fc.add(LocalVarPopAggregateDescriptor.FACTORY);
         fc.add(IntermediateVarPopAggregateDescriptor.FACTORY);
         fc.add(GlobalVarPopAggregateDescriptor.FACTORY);
+        fc.add(KurtosisAggregateDescriptor.FACTORY);
+        fc.add(LocalKurtosisAggregateDescriptor.FACTORY);
+        fc.add(IntermediateKurtosisAggregateDescriptor.FACTORY);
+        fc.add(GlobalKurtosisAggregateDescriptor.FACTORY);
+        fc.add(SkewnessAggregateDescriptor.FACTORY);
+        fc.add(LocalSkewnessAggregateDescriptor.FACTORY);
+        fc.add(IntermediateSkewnessAggregateDescriptor.FACTORY);
+        fc.add(GlobalSkewnessAggregateDescriptor.FACTORY);
 
         // serializable aggregates
         fc.add(SerializableCountAggregateDescriptor.FACTORY);
@@ -582,6 +626,14 @@
         fc.add(SerializableLocalVarPopAggregateDescriptor.FACTORY);
         fc.add(SerializableIntermediateVarPopAggregateDescriptor.FACTORY);
         fc.add(SerializableGlobalVarPopAggregateDescriptor.FACTORY);
+        fc.add(SerializableKurtosisAggregateDescriptor.FACTORY);
+        fc.add(SerializableLocalKurtosisAggregateDescriptor.FACTORY);
+        fc.add(SerializableIntermediateKurtosisAggregateDescriptor.FACTORY);
+        fc.add(SerializableGlobalKurtosisAggregateDescriptor.FACTORY);
+        fc.add(SerializableSkewnessAggregateDescriptor.FACTORY);
+        fc.add(SerializableLocalSkewnessAggregateDescriptor.FACTORY);
+        fc.add(SerializableIntermediateSkewnessAggregateDescriptor.FACTORY);
+        fc.add(SerializableGlobalSkewnessAggregateDescriptor.FACTORY);
 
         // scalar aggregates
         fc.add(ScalarCountAggregateDescriptor.FACTORY);
@@ -595,6 +647,8 @@
         fc.add(ScalarStddevPopAggregateDescriptor.FACTORY);
         fc.add(ScalarVarAggregateDescriptor.FACTORY);
         fc.add(ScalarVarPopAggregateDescriptor.FACTORY);
+        fc.add(ScalarKurtosisAggregateDescriptor.FACTORY);
+        fc.add(ScalarSkewnessAggregateDescriptor.FACTORY);
 
         // SQL aggregates
         fc.add(SqlCountAggregateDescriptor.FACTORY);
@@ -626,6 +680,14 @@
         fc.add(LocalSqlVarPopAggregateDescriptor.FACTORY);
         fc.add(IntermediateSqlVarPopAggregateDescriptor.FACTORY);
         fc.add(GlobalSqlVarPopAggregateDescriptor.FACTORY);
+        fc.add(SqlKurtosisAggregateDescriptor.FACTORY);
+        fc.add(LocalSqlKurtosisAggregateDescriptor.FACTORY);
+        fc.add(IntermediateSqlKurtosisAggregateDescriptor.FACTORY);
+        fc.add(GlobalSqlKurtosisAggregateDescriptor.FACTORY);
+        fc.add(SqlSkewnessAggregateDescriptor.FACTORY);
+        fc.add(LocalSqlSkewnessAggregateDescriptor.FACTORY);
+        fc.add(IntermediateSqlSkewnessAggregateDescriptor.FACTORY);
+        fc.add(GlobalSqlSkewnessAggregateDescriptor.FACTORY);
 
         // SQL serializable aggregates
         fc.add(SerializableSqlCountAggregateDescriptor.FACTORY);
@@ -653,6 +715,14 @@
         fc.add(SerializableLocalSqlVarPopAggregateDescriptor.FACTORY);
         fc.add(SerializableIntermediateSqlVarPopAggregateDescriptor.FACTORY);
         fc.add(SerializableGlobalSqlVarPopAggregateDescriptor.FACTORY);
+        fc.add(SerializableSqlKurtosisAggregateDescriptor.FACTORY);
+        fc.add(SerializableLocalSqlKurtosisAggregateDescriptor.FACTORY);
+        fc.add(SerializableIntermediateSqlKurtosisAggregateDescriptor.FACTORY);
+        fc.add(SerializableGlobalSqlKurtosisAggregateDescriptor.FACTORY);
+        fc.add(SerializableSqlSkewnessAggregateDescriptor.FACTORY);
+        fc.add(SerializableLocalSqlSkewnessAggregateDescriptor.FACTORY);
+        fc.add(SerializableIntermediateSqlSkewnessAggregateDescriptor.FACTORY);
+        fc.add(SerializableGlobalSqlSkewnessAggregateDescriptor.FACTORY);
 
         // SQL scalar aggregates
         fc.add(ScalarSqlCountAggregateDescriptor.FACTORY);
@@ -664,6 +734,8 @@
         fc.add(ScalarSqlStddevPopAggregateDescriptor.FACTORY);
         fc.add(ScalarSqlVarAggregateDescriptor.FACTORY);
         fc.add(ScalarSqlVarPopAggregateDescriptor.FACTORY);
+        fc.add(ScalarSqlKurtosisAggregateDescriptor.FACTORY);
+        fc.add(ScalarSqlSkewnessAggregateDescriptor.FACTORY);
 
         // window functions
         fc.add(DenseRankRunningAggregateDescriptor.FACTORY);