diff --git a/pinot-query-planner/src/test/java/org/apache/pinot/query/QueryEnvironmentTestBase.java b/pinot-query-planner/src/test/java/org/apache/pinot/query/QueryEnvironmentTestBase.java
index 0a75dc96b81..28aab9446b6 100644
--- a/pinot-query-planner/src/test/java/org/apache/pinot/query/QueryEnvironmentTestBase.java
+++ b/pinot-query-planner/src/test/java/org/apache/pinot/query/QueryEnvironmentTestBase.java
@@ -137,6 +137,10 @@ protected Object[][] provideQueries() {
             "SELECT a.col2, DISTINCTCOUNT(a.col3), COUNT(a.col4), COUNT(*), COUNT(DISTINCT a.col1) FROM a "
                 + "GROUP BY a.col2 ORDER BY a.col2"
         },
+        new Object[]{
+            "SELECT DISTINCTCOUNTTHETASKETCH(col1, 'nominalEntries=4096', 'col3=0', 'col6=0', 'SET_INTERSECT($1, $2)') "
+                + "FROM a"
+        },
         new Object[]{"SELECT a.col1, SKEWNESS(a.col3), KURTOSIS(a.col3), DISTINCTCOUNT(a.col1) FROM a GROUP BY a.col1"},
         new Object[]{"SELECT a.col1, SUM(a.col3) FROM a WHERE a.col3 >= 0 AND a.col2 = 'a' GROUP BY a.col1"},
         new Object[]{"SELECT a.col1, COUNT(*) FROM a WHERE a.col3 >= 0 AND a.col2 = 'a' GROUP BY a.col1"},
diff --git a/pinot-segment-spi/src/main/java/org/apache/pinot/segment/spi/AggregationFunctionType.java b/pinot-segment-spi/src/main/java/org/apache/pinot/segment/spi/AggregationFunctionType.java
index 9b722a515ef..e92a60865dc 100644
--- a/pinot-segment-spi/src/main/java/org/apache/pinot/segment/spi/AggregationFunctionType.java
+++ b/pinot-segment-spi/src/main/java/org/apache/pinot/segment/spi/AggregationFunctionType.java
@@ -90,10 +90,9 @@ public enum AggregationFunctionType {
       OperandTypes.family(List.of(SqlTypeFamily.ANY, SqlTypeFamily.INTEGER), i -> i == 1), SqlTypeName.OTHER),
   DISTINCTCOUNTRAWULL("distinctCountRawULL", ReturnTypes.VARCHAR,
       OperandTypes.family(List.of(SqlTypeFamily.ANY, SqlTypeFamily.INTEGER), i -> i == 1), SqlTypeName.OTHER),
-  DISTINCTCOUNTTHETASKETCH("distinctCountThetaSketch", ReturnTypes.BIGINT,
-      OperandTypes.family(List.of(SqlTypeFamily.ANY, SqlTypeFamily.CHARACTER), i -> i == 1), SqlTypeName.OTHER),
-  DISTINCTCOUNTRAWTHETASKETCH("distinctCountRawThetaSketch", ReturnTypes.VARCHAR,
-      OperandTypes.family(List.of(SqlTypeFamily.ANY, SqlTypeFamily.CHARACTER), i -> i == 1), SqlTypeName.OTHER),
+  DISTINCTCOUNTTHETASKETCH("distinctCountThetaSketch", ReturnTypes.BIGINT, OperandTypes.ONE_OR_MORE, SqlTypeName.OTHER),
+  DISTINCTCOUNTRAWTHETASKETCH("distinctCountRawThetaSketch", ReturnTypes.VARCHAR, OperandTypes.ONE_OR_MORE,
+      SqlTypeName.OTHER),
   DISTINCTCOUNTTUPLESKETCH("distinctCountTupleSketch", ReturnTypes.BIGINT, OperandTypes.BINARY, SqlTypeName.OTHER),
   DISTINCTCOUNTRAWINTEGERSUMTUPLESKETCH("distinctCountRawIntegerSumTupleSketch", ReturnTypes.VARCHAR,
       OperandTypes.BINARY, SqlTypeName.OTHER),