diff --git a/src/backend/commands/statscmds.c b/src/backend/commands/statscmds.c
index 4cf7ae7b2e3..48ba19f4c29 100644
--- a/src/backend/commands/statscmds.c
+++ b/src/backend/commands/statscmds.c
@@ -65,7 +65,7 @@ compare_int16(const void *a, const void *b)
  *		CREATE STATISTICS
  */
 ObjectAddress
-CreateStatistics(CreateStatsStmt *stmt)
+CreateStatistics(CreateStatsStmt *stmt, bool check_rights)
 {
 	int16		attnums[STATS_MAX_DIMENSIONS];
 	int			nattnums = 0;
@@ -179,6 +179,20 @@ CreateStatistics(CreateStatsStmt *stmt)
 	}
 	namestrcpy(&stxname, namestr);
 
+	/*
+	 * Check we have creation rights in target namespace.  Skip check if
+	 * caller doesn't want it.
+	 */
+	if (check_rights)
+	{
+		AclResult	aclresult;
+
+		aclresult = pg_namespace_aclcheck(namespaceId, GetUserId(), ACL_CREATE);
+		if (aclresult != ACLCHECK_OK)
+			aclcheck_error(aclresult, OBJECT_SCHEMA,
+						   get_namespace_name(namespaceId));
+	}
+
 	/*
 	 * Deal with the possibility that the statistics object already exists.
 	 */
diff --git a/src/backend/commands/tablecmds.c b/src/backend/commands/tablecmds.c
index 07f00a212b0..eef5347217a 100644
--- a/src/backend/commands/tablecmds.c
+++ b/src/backend/commands/tablecmds.c
@@ -10599,7 +10599,7 @@ ATExecAddStatistics(AlteredTableInfo *tab, Relation rel,
 	Assert(stmt->transformed);
 
 	HOLD_DISPATCH();
-	address = CreateStatistics(stmt);
+	address = CreateStatistics(stmt, !is_rebuild);
 	RESUME_DISPATCH();
 
 	return address;
diff --git a/src/backend/tcop/utility.c b/src/backend/tcop/utility.c
index 72d4fc4c89b..0a26b6b74eb 100644
--- a/src/backend/tcop/utility.c
+++ b/src/backend/tcop/utility.c
@@ -2517,7 +2517,7 @@ ProcessUtilitySlow(ParseState *pstate,
 					/* Run parse analysis ... */
 					stmt = transformStatsStmt(relid, stmt, queryString);
 
-					address = CreateStatistics(stmt);
+					address = CreateStatistics(stmt, true);
 				}
 				break;
 
diff --git a/src/include/commands/defrem.h b/src/include/commands/defrem.h
index 57a49126c0b..7742a28a5d6 100644
--- a/src/include/commands/defrem.h
+++ b/src/include/commands/defrem.h
@@ -86,7 +86,7 @@ extern void RemoveOperatorById(Oid operOid);
 extern ObjectAddress AlterOperator(AlterOperatorStmt *stmt);
 
 /* commands/statscmds.c */
-extern ObjectAddress CreateStatistics(CreateStatsStmt *stmt);
+extern ObjectAddress CreateStatistics(CreateStatsStmt *stmt, bool check_rights);
 extern ObjectAddress AlterStatistics(AlterStatsStmt *stmt);
 extern void RemoveStatisticsById(Oid statsOid);
 extern Oid	StatisticsGetRelation(Oid statId, bool missing_ok);
diff --git a/src/test/regress/expected/stats_ext.out b/src/test/regress/expected/stats_ext.out
index 06aff4d5bd0..d487a583054 100644
--- a/src/test/regress/expected/stats_ext.out
+++ b/src/test/regress/expected/stats_ext.out
@@ -3277,6 +3277,23 @@ SELECT statistics_name, most_common_vals FROM pg_stats_ext_exprs x
  s_expr          | {1}
 (2 rows)
 
+-- CREATE STATISTICS checks for CREATE on the schema
+RESET SESSION AUTHORIZATION;
+CREATE SCHEMA sts_sch1 CREATE TABLE sts_sch1.tbl (a INT, b INT);
+GRANT USAGE ON SCHEMA sts_sch1 TO regress_stats_user1;
+ALTER TABLE sts_sch1.tbl OWNER TO regress_stats_user1;
+SET SESSION AUTHORIZATION regress_stats_user1;
+CREATE STATISTICS sts_sch1.fail ON a, b FROM sts_sch1.tbl;
+ERROR:  permission denied for schema sts_sch1
+RESET SESSION AUTHORIZATION;
+GRANT CREATE ON SCHEMA sts_sch1 TO regress_stats_user1;
+SET SESSION AUTHORIZATION regress_stats_user1;
+CREATE STATISTICS sts_sch1.pass ON a, b FROM sts_sch1.tbl;
+-- re-creating statistics via ALTER TABLE bypasses checks for CREATE on schema
+RESET SESSION AUTHORIZATION;
+REVOKE CREATE ON SCHEMA sts_sch1 FROM regress_stats_user1;
+SET SESSION AUTHORIZATION regress_stats_user1;
+ALTER TABLE sts_sch1.tbl ALTER COLUMN a TYPE SMALLINT;
 -- Tidy up
 DROP OPERATOR <<< (int, int);
 DROP FUNCTION op_leak(int, int);
@@ -3286,6 +3303,8 @@ DROP SCHEMA tststats CASCADE;
 NOTICE:  drop cascades to 2 other objects
 DETAIL:  drop cascades to table tststats.priv_test_tbl
 drop cascades to view tststats.priv_test_view
+DROP SCHEMA sts_sch1 CASCADE;
+NOTICE:  drop cascades to table sts_sch1.tbl
 DROP USER regress_stats_user1;
 -- test analyze with extended statistics 
 CREATE TABLE tbl_issue1293 (col1 int, col2 int);
diff --git a/src/test/regress/sql/stats_ext.sql b/src/test/regress/sql/stats_ext.sql
index 744bb00c161..8058d2668f3 100644
--- a/src/test/regress/sql/stats_ext.sql
+++ b/src/test/regress/sql/stats_ext.sql
@@ -1675,12 +1675,31 @@ SELECT statistics_name, most_common_vals FROM pg_stats_ext x
 SELECT statistics_name, most_common_vals FROM pg_stats_ext_exprs x
     WHERE tablename = 'stats_ext_tbl' ORDER BY ROW(x.*);
 
+-- CREATE STATISTICS checks for CREATE on the schema
+RESET SESSION AUTHORIZATION;
+CREATE SCHEMA sts_sch1 CREATE TABLE sts_sch1.tbl (a INT, b INT);
+GRANT USAGE ON SCHEMA sts_sch1 TO regress_stats_user1;
+ALTER TABLE sts_sch1.tbl OWNER TO regress_stats_user1;
+SET SESSION AUTHORIZATION regress_stats_user1;
+CREATE STATISTICS sts_sch1.fail ON a, b FROM sts_sch1.tbl;
+RESET SESSION AUTHORIZATION;
+GRANT CREATE ON SCHEMA sts_sch1 TO regress_stats_user1;
+SET SESSION AUTHORIZATION regress_stats_user1;
+CREATE STATISTICS sts_sch1.pass ON a, b FROM sts_sch1.tbl;
+
+-- re-creating statistics via ALTER TABLE bypasses checks for CREATE on schema
+RESET SESSION AUTHORIZATION;
+REVOKE CREATE ON SCHEMA sts_sch1 FROM regress_stats_user1;
+SET SESSION AUTHORIZATION regress_stats_user1;
+ALTER TABLE sts_sch1.tbl ALTER COLUMN a TYPE SMALLINT;
+
 -- Tidy up
 DROP OPERATOR <<< (int, int);
 DROP FUNCTION op_leak(int, int);
 RESET SESSION AUTHORIZATION;
 DROP TABLE stats_ext_tbl;
 DROP SCHEMA tststats CASCADE;
+DROP SCHEMA sts_sch1 CASCADE;
 DROP USER regress_stats_user1;
 
 -- test analyze with extended statistics