diff --git a/doc/src/sgml/ref/create_statistics.sgml b/doc/src/sgml/ref/create_statistics.sgml
index 9a8c904c08..a7a55553e1 100644
--- a/doc/src/sgml/ref/create_statistics.sgml
+++ b/doc/src/sgml/ref/create_statistics.sgml
@@ -21,11 +21,11 @@ PostgreSQL documentation
 
  <refsynopsisdiv>
 <synopsis>
-CREATE STATISTICS [ IF NOT EXISTS ] <replaceable class="parameter">statistics_name</replaceable>
+CREATE STATISTICS [ [ IF NOT EXISTS ] <replaceable class="parameter">statistics_name</replaceable>]
     ON ( <replaceable class="parameter">expression</replaceable> )
     FROM <replaceable class="parameter">table_name</replaceable>
 
-CREATE STATISTICS [ IF NOT EXISTS ] <replaceable class="parameter">statistics_name</replaceable>
+CREATE STATISTICS [ [ IF NOT EXISTS ] <replaceable class="parameter">statistics_name</replaceable>]
     [ ( <replaceable class="parameter">statistics_kind</replaceable> [, ... ] ) ]
     ON { <replaceable class="parameter">column_name</replaceable> | ( <replaceable class="parameter">expression</replaceable> ) }, { <replaceable class="parameter">column_name</replaceable> | ( <replaceable class="parameter">expression</replaceable> ) } [, ...]
     FROM <replaceable class="parameter">table_name</replaceable>
@@ -60,8 +60,8 @@ CREATE STATISTICS [ IF NOT EXISTS ] <replaceable class="parameter">statistics_na
    If a schema name is given (for example, <literal>CREATE STATISTICS
    myschema.mystat ...</literal>) then the statistics object is created in the
    specified schema.  Otherwise it is created in the current schema.
-   The name of the statistics object must be distinct from the name of any
-   other statistics object in the same schema.
+   If given, the name of the statistics object must be distinct from the name
+   of any other statistics object in the same schema.
   </para>
  </refsect1>
 
@@ -78,6 +78,7 @@ CREATE STATISTICS [ IF NOT EXISTS ] <replaceable class="parameter">statistics_na
       exists.  A notice is issued in this case.  Note that only the name of
       the statistics object is considered here, not the details of its
       definition.
+      Statistics name is required when <literal>IF NOT EXISTS</literal> is specified.
      </para>
     </listitem>
    </varlistentry>
@@ -88,6 +89,9 @@ CREATE STATISTICS [ IF NOT EXISTS ] <replaceable class="parameter">statistics_na
      <para>
       The name (optionally schema-qualified) of the statistics object to be
       created.
+      If the name is omitted, <productname>PostgreSQL</productname> chooses a
+      suitable name based on the parent table's name and the defined column
+      name(s) and/or expression(s).
      </para>
     </listitem>
    </varlistentry>
diff --git a/src/backend/parser/gram.y b/src/backend/parser/gram.y
index 969c9c158f..b566787ff1 100644
--- a/src/backend/parser/gram.y
+++ b/src/backend/parser/gram.y
@@ -4523,7 +4523,7 @@ ExistingIndex:   USING INDEX name					{ $$ = $3; }
 /*****************************************************************************
  *
  *		QUERY :
- *				CREATE STATISTICS [IF NOT EXISTS] stats_name [(stat types)]
+ *				CREATE STATISTICS [ [IF NOT EXISTS] stats_name] [(stat types)]
  *					ON expression-list FROM from_list
  *
  * Note: the expectation here is that the clauses after ON are a subset of
@@ -4561,6 +4561,18 @@ CreateStatsStmt:
 					n->if_not_exists = true;
 					$$ = (Node *) n;
 				}
+			| CREATE STATISTICS
+			opt_name_list ON stats_params FROM from_list
+				{
+					CreateStatsStmt *n = makeNode(CreateStatsStmt);
+					n->defnames = NULL;
+					n->stat_types = $3;
+					n->exprs = $5;
+					n->relations = $7;
+					n->stxcomment = NULL;
+					n->if_not_exists = false;
+					$$ = (Node *) n;
+				}
 			;
 
 /*
diff --git a/src/test/regress/expected/stats_ext.out b/src/test/regress/expected/stats_ext.out
index 042316aeed..8f5fd546eb 100644
--- a/src/test/regress/expected/stats_ext.out
+++ b/src/test/regress/expected/stats_ext.out
@@ -3062,11 +3062,11 @@ CREATE STATISTICS tststats.priv_test_stats (mcv) ON a, b
 ANALYZE tststats.priv_test_tbl;
 -- Check printing info about extended statistics by \dX
 create table stts_t1 (a int, b int);
-create statistics stts_1 (ndistinct) on a, b from stts_t1;
-create statistics stts_2 (ndistinct, dependencies) on a, b from stts_t1;
-create statistics stts_3 (ndistinct, dependencies, mcv) on a, b from stts_t1;
+create statistics (ndistinct) on a, b from stts_t1;
+create statistics (ndistinct, dependencies) on a, b from stts_t1;
+create statistics (ndistinct, dependencies, mcv) on a, b from stts_t1;
 create table stts_t2 (a int, b int, c int);
-create statistics stts_4 on b, c from stts_t2;
+create statistics on b, c from stts_t2;
 create table stts_t3 (col1 int, col2 int, col3 int);
 create statistics stts_hoge on col1, col2, col3 from stts_t3;
 create schema stts_s1;
@@ -3084,24 +3084,24 @@ set search_path to public, stts_s1, stts_s2, tststats;
  public   | mcv_lists_arrays_stats | a, b, c FROM mcv_lists_arrays                                    |           |              | defined
  public   | mcv_lists_bool_stats   | a, b, c FROM mcv_lists_bool                                      |           |              | defined
  public   | mcv_lists_stats        | a, b, d FROM mcv_lists                                           |           |              | defined
- public   | stts_1                 | a, b FROM stts_t1                                                | defined   |              | 
- public   | stts_2                 | a, b FROM stts_t1                                                | defined   | defined      | 
- public   | stts_3                 | a, b FROM stts_t1                                                | defined   | defined      | defined
- public   | stts_4                 | b, c FROM stts_t2                                                | defined   | defined      | defined
  public   | stts_hoge              | col1, col2, col3 FROM stts_t3                                    | defined   | defined      | defined
+ public   | stts_t1_a_b_stat       | a, b FROM stts_t1                                                | defined   |              | 
+ public   | stts_t1_a_b_stat1      | a, b FROM stts_t1                                                | defined   | defined      | 
+ public   | stts_t1_a_b_stat2      | a, b FROM stts_t1                                                | defined   | defined      | defined
+ public   | stts_t2_b_c_stat       | b, c FROM stts_t2                                                | defined   | defined      | defined
  stts_s1  | stts_foo               | col1, col2 FROM stts_t3                                          | defined   | defined      | defined
  stts_s2  | stts_yama              | col1, col3 FROM stts_t3                                          |           | defined      | defined
  tststats | priv_test_stats        | a, b FROM priv_test_tbl                                          |           |              | defined
 (12 rows)
 
-\dX stts_?
-                       List of extended statistics
- Schema |  Name  |    Definition     | Ndistinct | Dependencies |   MCV   
---------+--------+-------------------+-----------+--------------+---------
- public | stts_1 | a, b FROM stts_t1 | defined   |              | 
- public | stts_2 | a, b FROM stts_t1 | defined   | defined      | 
- public | stts_3 | a, b FROM stts_t1 | defined   | defined      | defined
- public | stts_4 | b, c FROM stts_t2 | defined   | defined      | defined
+\dX stts_t*
+                             List of extended statistics
+ Schema |       Name        |    Definition     | Ndistinct | Dependencies |   MCV   
+--------+-------------------+-------------------+-----------+--------------+---------
+ public | stts_t1_a_b_stat  | a, b FROM stts_t1 | defined   |              | 
+ public | stts_t1_a_b_stat1 | a, b FROM stts_t1 | defined   | defined      | 
+ public | stts_t1_a_b_stat2 | a, b FROM stts_t1 | defined   | defined      | defined
+ public | stts_t2_b_c_stat  | b, c FROM stts_t2 | defined   | defined      | defined
 (4 rows)
 
 \dX *stts_hoge
@@ -3119,24 +3119,24 @@ set search_path to public, stts_s1, stts_s2, tststats;
  public   | mcv_lists_arrays_stats | a, b, c FROM mcv_lists_arrays                                    |           |              | defined
  public   | mcv_lists_bool_stats   | a, b, c FROM mcv_lists_bool                                      |           |              | defined
  public   | mcv_lists_stats        | a, b, d FROM mcv_lists                                           |           |              | defined
- public   | stts_1                 | a, b FROM stts_t1                                                | defined   |              | 
- public   | stts_2                 | a, b FROM stts_t1                                                | defined   | defined      | 
- public   | stts_3                 | a, b FROM stts_t1                                                | defined   | defined      | defined
- public   | stts_4                 | b, c FROM stts_t2                                                | defined   | defined      | defined
  public   | stts_hoge              | col1, col2, col3 FROM stts_t3                                    | defined   | defined      | defined
+ public   | stts_t1_a_b_stat       | a, b FROM stts_t1                                                | defined   |              | 
+ public   | stts_t1_a_b_stat1      | a, b FROM stts_t1                                                | defined   | defined      | 
+ public   | stts_t1_a_b_stat2      | a, b FROM stts_t1                                                | defined   | defined      | defined
+ public   | stts_t2_b_c_stat       | b, c FROM stts_t2                                                | defined   | defined      | defined
  stts_s1  | stts_foo               | col1, col2 FROM stts_t3                                          | defined   | defined      | defined
  stts_s2  | stts_yama              | col1, col3 FROM stts_t3                                          |           | defined      | defined
  tststats | priv_test_stats        | a, b FROM priv_test_tbl                                          |           |              | defined
 (12 rows)
 
-\dX+ stts_?
-                       List of extended statistics
- Schema |  Name  |    Definition     | Ndistinct | Dependencies |   MCV   
---------+--------+-------------------+-----------+--------------+---------
- public | stts_1 | a, b FROM stts_t1 | defined   |              | 
- public | stts_2 | a, b FROM stts_t1 | defined   | defined      | 
- public | stts_3 | a, b FROM stts_t1 | defined   | defined      | defined
- public | stts_4 | b, c FROM stts_t2 | defined   | defined      | defined
+\dX+ stts_t*
+                             List of extended statistics
+ Schema |       Name        |    Definition     | Ndistinct | Dependencies |   MCV   
+--------+-------------------+-------------------+-----------+--------------+---------
+ public | stts_t1_a_b_stat  | a, b FROM stts_t1 | defined   |              | 
+ public | stts_t1_a_b_stat1 | a, b FROM stts_t1 | defined   | defined      | 
+ public | stts_t1_a_b_stat2 | a, b FROM stts_t1 | defined   | defined      | defined
+ public | stts_t2_b_c_stat  | b, c FROM stts_t2 | defined   | defined      | defined
 (4 rows)
 
 \dX+ *stts_hoge
@@ -3153,6 +3153,21 @@ set search_path to public, stts_s1, stts_s2, tststats;
  stts_s2 | stts_yama | col1, col3 FROM stts_t3 |           | defined      | defined
 (1 row)
 
+create statistics (mcv) ON a, b, (a+b), (a-b) FROM stts_t1;
+create statistics (mcv) ON a, b, (a+b), (a-b) FROM stts_t1;
+create statistics (mcv) ON (a+b), (a-b) FROM stts_t1;
+\dX stts_t*expr*
+                                           List of extended statistics
+ Schema |            Name             |             Definition              | Ndistinct | Dependencies |   MCV   
+--------+-----------------------------+-------------------------------------+-----------+--------------+---------
+ public | stts_t1_a_b_expr_expr_stat  | a, b, (a + b), (a - b) FROM stts_t1 |           |              | defined
+ public | stts_t1_a_b_expr_expr_stat1 | a, b, (a + b), (a - b) FROM stts_t1 |           |              | defined
+ public | stts_t1_expr_expr_stat      | (a + b), (a - b) FROM stts_t1       |           |              | defined
+(3 rows)
+
+drop statistics stts_t1_a_b_expr_expr_stat;
+drop statistics stts_t1_a_b_expr_expr_stat1;
+drop statistics stts_t1_expr_expr_stat;
 set search_path to public, stts_s1;
 \dX
                                                        List of extended statistics
@@ -3162,11 +3177,11 @@ set search_path to public, stts_s1;
  public  | mcv_lists_arrays_stats | a, b, c FROM mcv_lists_arrays                                    |           |              | defined
  public  | mcv_lists_bool_stats   | a, b, c FROM mcv_lists_bool                                      |           |              | defined
  public  | mcv_lists_stats        | a, b, d FROM mcv_lists                                           |           |              | defined
- public  | stts_1                 | a, b FROM stts_t1                                                | defined   |              | 
- public  | stts_2                 | a, b FROM stts_t1                                                | defined   | defined      | 
- public  | stts_3                 | a, b FROM stts_t1                                                | defined   | defined      | defined
- public  | stts_4                 | b, c FROM stts_t2                                                | defined   | defined      | defined
  public  | stts_hoge              | col1, col2, col3 FROM stts_t3                                    | defined   | defined      | defined
+ public  | stts_t1_a_b_stat       | a, b FROM stts_t1                                                | defined   |              | 
+ public  | stts_t1_a_b_stat1      | a, b FROM stts_t1                                                | defined   | defined      | 
+ public  | stts_t1_a_b_stat2      | a, b FROM stts_t1                                                | defined   | defined      | defined
+ public  | stts_t2_b_c_stat       | b, c FROM stts_t2                                                | defined   | defined      | defined
  stts_s1 | stts_foo               | col1, col2 FROM stts_t3                                          | defined   | defined      | defined
 (10 rows)
 
@@ -3180,11 +3195,11 @@ set role regress_stats_ext;
  public | mcv_lists_arrays_stats | a, b, c FROM mcv_lists_arrays                                    |           |              | defined
  public | mcv_lists_bool_stats   | a, b, c FROM mcv_lists_bool                                      |           |              | defined
  public | mcv_lists_stats        | a, b, d FROM mcv_lists                                           |           |              | defined
- public | stts_1                 | a, b FROM stts_t1                                                | defined   |              | 
- public | stts_2                 | a, b FROM stts_t1                                                | defined   | defined      | 
- public | stts_3                 | a, b FROM stts_t1                                                | defined   | defined      | defined
- public | stts_4                 | b, c FROM stts_t2                                                | defined   | defined      | defined
  public | stts_hoge              | col1, col2, col3 FROM stts_t3                                    | defined   | defined      | defined
+ public | stts_t1_a_b_stat       | a, b FROM stts_t1                                                | defined   |              | 
+ public | stts_t1_a_b_stat1      | a, b FROM stts_t1                                                | defined   | defined      | 
+ public | stts_t1_a_b_stat2      | a, b FROM stts_t1                                                | defined   | defined      | defined
+ public | stts_t2_b_c_stat       | b, c FROM stts_t2                                                | defined   | defined      | defined
 (9 rows)
 
 reset role;
diff --git a/src/test/regress/sql/stats_ext.sql b/src/test/regress/sql/stats_ext.sql
index 6b954c9e50..5fd865f509 100644
--- a/src/test/regress/sql/stats_ext.sql
+++ b/src/test/regress/sql/stats_ext.sql
@@ -1555,12 +1555,12 @@ ANALYZE tststats.priv_test_tbl;
 
 -- Check printing info about extended statistics by \dX
 create table stts_t1 (a int, b int);
-create statistics stts_1 (ndistinct) on a, b from stts_t1;
-create statistics stts_2 (ndistinct, dependencies) on a, b from stts_t1;
-create statistics stts_3 (ndistinct, dependencies, mcv) on a, b from stts_t1;
+create statistics (ndistinct) on a, b from stts_t1;
+create statistics (ndistinct, dependencies) on a, b from stts_t1;
+create statistics (ndistinct, dependencies, mcv) on a, b from stts_t1;
 
 create table stts_t2 (a int, b int, c int);
-create statistics stts_4 on b, c from stts_t2;
+create statistics on b, c from stts_t2;
 
 create table stts_t3 (col1 int, col2 int, col3 int);
 create statistics stts_hoge on col1, col2, col3 from stts_t3;
@@ -1575,13 +1575,21 @@ analyze stts_t1;
 set search_path to public, stts_s1, stts_s2, tststats;
 
 \dX
-\dX stts_?
+\dX stts_t*
 \dX *stts_hoge
 \dX+
-\dX+ stts_?
+\dX+ stts_t*
 \dX+ *stts_hoge
 \dX+ stts_s2.stts_yama
 
+create statistics (mcv) ON a, b, (a+b), (a-b) FROM stts_t1;
+create statistics (mcv) ON a, b, (a+b), (a-b) FROM stts_t1;
+create statistics (mcv) ON (a+b), (a-b) FROM stts_t1;
+\dX stts_t*expr*
+drop statistics stts_t1_a_b_expr_expr_stat;
+drop statistics stts_t1_a_b_expr_expr_stat1;
+drop statistics stts_t1_expr_expr_stat;
+
 set search_path to public, stts_s1;
 \dX
 
