diff --git a/src/backend/commands/analyze.c b/src/backend/commands/analyze.c
index d7004e5313..faabbeb002 100644
--- a/src/backend/commands/analyze.c
+++ b/src/backend/commands/analyze.c
@@ -573,9 +573,15 @@ do_analyze_rel(Relation onerel, VacuumParams *params,
 							thisdata->attr_cnt, thisdata->vacattrstats);
 		}
 
-		/* Build extended statistics (if there are any). */
-		BuildRelationExtStatistics(onerel, totalrows, numrows, rows, attr_cnt,
-								   vacattrstats);
+		/*
+		 * Build extended statistics (if there are any).
+		 *
+		 * For now we only build extended statistics on individual relations,
+		 * not for relations representing inheritance trees.
+		 */
+		if (!inh)
+			BuildRelationExtStatistics(onerel, totalrows, numrows, rows,
+									   attr_cnt, vacattrstats);
 	}
 
 	/*
diff --git a/src/test/regress/expected/stats_ext.out b/src/test/regress/expected/stats_ext.out
index 94b8a8f8b8..d782ebcfea 100644
--- a/src/test/regress/expected/stats_ext.out
+++ b/src/test/regress/expected/stats_ext.out
@@ -103,6 +103,14 @@ ANALYZE ab1 (a);
 WARNING:  statistics object "public.ab1_a_b_stats" could not be computed for relation "public.ab1"
 ANALYZE ab1;
 DROP TABLE ab1;
+-- Ensure we can build statistics for tables with inheritance.
+CREATE TABLE ab1 (a INTEGER, b INTEGER);
+CREATE TABLE ab1c () INHERITS (ab1);
+INSERT INTO ab1 VALUES (1,1);
+CREATE STATISTICS ab1_a_b_stats ON a, b FROM ab1;
+ANALYZE ab1;
+DROP TABLE ab1 CASCADE;
+NOTICE:  drop cascades to table ab1c
 -- Verify supported object types for extended statistics
 CREATE schema tststats;
 CREATE TABLE tststats.t (a int, b int, c text);
diff --git a/src/test/regress/sql/stats_ext.sql b/src/test/regress/sql/stats_ext.sql
index 4bc1536727..d506e8238c 100644
--- a/src/test/regress/sql/stats_ext.sql
+++ b/src/test/regress/sql/stats_ext.sql
@@ -73,6 +73,14 @@ ANALYZE ab1 (a);
 ANALYZE ab1;
 DROP TABLE ab1;
 
+-- Ensure we can build statistics for tables with inheritance.
+CREATE TABLE ab1 (a INTEGER, b INTEGER);
+CREATE TABLE ab1c () INHERITS (ab1);
+INSERT INTO ab1 VALUES (1,1);
+CREATE STATISTICS ab1_a_b_stats ON a, b FROM ab1;
+ANALYZE ab1;
+DROP TABLE ab1 CASCADE;
+
 -- Verify supported object types for extended statistics
 CREATE schema tststats;