diff --git a/src/backend/commands/statscmds.c b/src/backend/commands/statscmds.c
index 9938b65083..8f1550ec80 100644
--- a/src/backend/commands/statscmds.c
+++ b/src/backend/commands/statscmds.c
@@ -560,11 +560,11 @@ CreateStatistics(CreateStatsStmt *stmt)
 	}
 
 	/*
-	 * If there are no dependencies on a column, give the statistics an auto
-	 * dependency on the whole table.  In most cases, this will be redundant,
-	 * but it might not be if the statistics expressions contain no Vars
-	 * (which might seem strange but possible). This is consistent with what
-	 * we do for indexes in index_create.
+	 * If there are no dependencies on a column, give the statistics object an
+	 * auto dependency on the whole table.  In most cases, this will be
+	 * redundant, but it might not be if the statistics expressions contain no
+	 * Vars (which might seem strange but possible). This is consistent with
+	 * what we do for indexes in index_create.
 	 *
 	 * XXX We intentionally don't consider the expressions before adding this
 	 * dependency, because recordDependencyOnSingleRelExpr may not create any
@@ -649,9 +649,9 @@ AlterStatistics(AlterStatsStmt *stmt)
 	stxoid = get_statistics_object_oid(stmt->defnames, stmt->missing_ok);
 
 	/*
-	 * If we got here and the OID is not valid, it means the statistics does
-	 * not exist, but the command specified IF EXISTS. So report this as a
-	 * simple NOTICE and we're done.
+	 * If we got here and the OID is not valid, it means the statistics object
+	 * does not exist, but the command specified IF EXISTS. So report this as
+	 * a simple NOTICE and we're done.
 	 */
 	if (!OidIsValid(stxoid))
 	{
@@ -768,7 +768,7 @@ RemoveStatisticsById(Oid statsOid)
 }
 
 /*
- * Select a nonconflicting name for a new statistics.
+ * Select a nonconflicting name for a new statistics object.
  *
  * name1, name2, and label are used the same way as for makeObjectName(),
  * except that the label can't be NULL; digits will be appended to the label
@@ -815,9 +815,9 @@ ChooseExtendedStatisticName(const char *name1, const char *name2,
 }
 
 /*
- * Generate "name2" for a new statistics given the list of column names for it
- * This will be passed to ChooseExtendedStatisticName along with the parent
- * table name and a suitable label.
+ * Generate "name2" for a new statistics object given the list of column
+ * names for it.  This will be passed to ChooseExtendedStatisticName along
+ * with the parent table name and a suitable label.
  *
  * We know that less than NAMEDATALEN characters will actually be used,
  * so we can truncate the result once we've generated that many.
@@ -869,8 +869,8 @@ ChooseExtendedStatisticNameAddition(List *exprs)
 }
 
 /*
- * StatisticsGetRelation: given a statistics's relation OID, get the OID of
- * the relation it is an statistics on.  Uses the system cache.
+ * StatisticsGetRelation: given a statistics object's OID, get the OID of
+ * the relation it is defined on.  Uses the system cache.
  */
 Oid
 StatisticsGetRelation(Oid statId, bool missing_ok)
diff --git a/src/backend/commands/tablecmds.c b/src/backend/commands/tablecmds.c
index dbee6ae199..ff97b618e6 100644
--- a/src/backend/commands/tablecmds.c
+++ b/src/backend/commands/tablecmds.c
@@ -12585,13 +12585,13 @@ RememberStatisticsForRebuilding(Oid stxoid, AlteredTableInfo *tab)
 	/*
 	 * This de-duplication check is critical for two independent reasons: we
 	 * mustn't try to recreate the same statistics object twice, and if the
-	 * statistics depends on more than one column whose type is to be altered,
-	 * we must capture its definition string before applying any of the type
-	 * changes. ruleutils.c will get confused if we ask again later.
+	 * statistics object depends on more than one column whose type is to be
+	 * altered, we must capture its definition string before applying any of
+	 * the type changes. ruleutils.c will get confused if we ask again later.
 	 */
 	if (!list_member_oid(tab->changedStatisticsOids, stxoid))
 	{
-		/* OK, capture the index's existing definition string */
+		/* OK, capture the statistics object's existing definition string */
 		char	   *defstring = pg_get_statisticsobjdef_string(stxoid);
 
 		tab->changedStatisticsOids = lappend_oid(tab->changedStatisticsOids,
diff --git a/src/backend/parser/parse_utilcmd.c b/src/backend/parser/parse_utilcmd.c
index 1d3ee53244..313d7b6ff0 100644
--- a/src/backend/parser/parse_utilcmd.c
+++ b/src/backend/parser/parse_utilcmd.c
@@ -2892,7 +2892,7 @@ transformIndexStmt(Oid relid, IndexStmt *stmt, const char *queryString)
 /*
  * transformStatsStmt - parse analysis for CREATE STATISTICS
  *
- * To avoid race conditions, it's important that this function rely only on
+ * To avoid race conditions, it's important that this function relies only on
  * the passed-in relid (and not on stmt->relation) to determine the target
  * relation.
  */
@@ -2948,7 +2948,7 @@ transformStatsStmt(Oid relid, CreateStatsStmt *stmt, const char *queryString)
 	if (list_length(pstate->p_rtable) != 1)
 		ereport(ERROR,
 				(errcode(ERRCODE_INVALID_COLUMN_REFERENCE),
-				 errmsg("statistics expressions can refer only to the table being indexed")));
+				 errmsg("statistics expressions can refer only to the table being referenced")));
 
 	free_parsestate(pstate);
 
@@ -3615,7 +3615,7 @@ transformAlterTableStmt(Oid relid, AlterTableStmt *stmt,
 		newcmds = lappend(newcmds, newcmd);
 	}
 
-	/* Append extended statistic objects */
+	/* Append extended statistics objects */
 	transformExtendedStatistics(&cxt);
 
 	/* Close rel */
diff --git a/src/backend/statistics/extended_stats.c b/src/backend/statistics/extended_stats.c
index 4c35223457..69ca52094f 100644
--- a/src/backend/statistics/extended_stats.c
+++ b/src/backend/statistics/extended_stats.c
@@ -182,7 +182,7 @@ BuildRelationExtStatistics(Relation onerel, double totalrows,
 			continue;
 		}
 
-		/* compute statistics target for this statistics */
+		/* compute statistics target for this statistics object */
 		stattarget = statext_compute_stattarget(stat->stattarget,
 												bms_num_members(stat->columns),
 												stats);
@@ -195,7 +195,7 @@ BuildRelationExtStatistics(Relation onerel, double totalrows,
 		if (stattarget == 0)
 			continue;
 
-		/* evaluate expressions (if the statistics has any) */
+		/* evaluate expressions (if the statistics object has any) */
 		data = make_build_data(onerel, stat, numrows, rows, stats, stattarget);
 
 		/* compute statistic of each requested type */
@@ -257,9 +257,9 @@ BuildRelationExtStatistics(Relation onerel, double totalrows,
  * when analyzing only some of the columns, this will skip statistics objects
  * that would require additional columns.
  *
- * See statext_compute_stattarget for details about how we compute statistics
- * target for a statistics object (from the object target, attribute targets
- * and default statistics target).
+ * See statext_compute_stattarget for details about how we compute the
+ * statistics target for a statistics object (from the object target,
+ * attribute targets and default statistics target).
  */
 int
 ComputeExtStatisticsRows(Relation onerel,
@@ -329,8 +329,8 @@ ComputeExtStatisticsRows(Relation onerel,
  *
  * When computing target for extended statistics objects, we consider three
  * places where the target may be set - the statistics object itself,
- * attributes the statistics is defined on, and then the default statistics
- * target.
+ * attributes the statistics object is defined on, and then the default
+ * statistics target.
  *
  * First we look at what's set for the statistics object itself, using the
  * ALTER STATISTICS ... SET STATISTICS command. If we find a valid value
@@ -1789,8 +1789,8 @@ statext_mcv_clauselist_selectivity(PlannerInfo *root, List *clauses, int varReli
 
 			/*
 			 * The clause was not estimated yet, and we've extracted either
-			 * attnums of expressions from it. Ignore it if it's not fully
-			 * covered by the chosen statistics.
+			 * attnums or expressions from it. Ignore it if it's not fully
+			 * covered by the chosen statistics object.
 			 *
 			 * We need to check both attributes and expressions, and reject if
 			 * either is not covered.
diff --git a/src/backend/utils/adt/selfuncs.c b/src/backend/utils/adt/selfuncs.c
index 0c8c05f6c2..60549d76b7 100644
--- a/src/backend/utils/adt/selfuncs.c
+++ b/src/backend/utils/adt/selfuncs.c
@@ -3443,13 +3443,13 @@ estimate_num_groups(PlannerInfo *root, List *groupExprs, double input_rows,
 		 * expression, treat it as a single variable even if it's really more
 		 * complicated.
 		 *
-		 * XXX This has the consequence that if there's a statistics on the
-		 * expression, we don't split it into individual Vars. This affects
-		 * our selection of statistics in estimate_multivariate_ndistinct,
-		 * because it's probably better to use more accurate estimate for each
-		 * expression and treat them as independent, than to combine estimates
-		 * for the extracted variables when we don't know how that relates to
-		 * the expressions.
+		 * XXX This has the consequence that if there's a statistics object on
+		 * the expression, we don't split it into individual Vars. This
+		 * affects our selection of statistics in
+		 * estimate_multivariate_ndistinct, because it's probably better to
+		 * use more accurate estimate for each expression and treat them as
+		 * independent, than to combine estimates for the extracted variables
+		 * when we don't know how that relates to the expressions.
 		 */
 		examine_variable(root, groupexpr, 0, &vardata);
 		if (HeapTupleIsValid(vardata.statsTuple) || vardata.isunique)
@@ -3918,7 +3918,7 @@ estimate_multivariate_ndistinct(PlannerInfo *root, RelOptInfo *rel,
 	if (!rel->statlist)
 		return false;
 
-	/* look for the ndistinct statistics matching the most vars */
+	/* look for the ndistinct statistics object matching the most vars */
 	nmatches_vars = 0;			/* we require at least two matches */
 	nmatches_exprs = 0;
 	foreach(lc, rel->statlist)
@@ -3964,7 +3964,7 @@ estimate_multivariate_ndistinct(PlannerInfo *root, RelOptInfo *rel,
 				continue;
 			}
 
-			/* expression - see if it's in the statistics */
+			/* expression - see if it's in the statistics object */
 			foreach(lc3, info->exprs)
 			{
 				Node	   *expr = (Node *) lfirst(lc3);
@@ -4053,7 +4053,7 @@ estimate_multivariate_ndistinct(PlannerInfo *root, RelOptInfo *rel,
 				if (!AttrNumberIsForUserDefinedAttr(attnum))
 					continue;
 
-				/* Is the variable covered by the statistics? */
+				/* Is the variable covered by the statistics object? */
 				if (!bms_is_member(attnum, matched_info->keys))
 					continue;
 
@@ -4075,7 +4075,7 @@ estimate_multivariate_ndistinct(PlannerInfo *root, RelOptInfo *rel,
 			if (found)
 				continue;
 
-			/* expression - see if it's in the statistics */
+			/* expression - see if it's in the statistics object */
 			idx = 0;
 			foreach(lc3, matched_info->exprs)
 			{
@@ -5252,7 +5252,7 @@ examine_variable(PlannerInfo *root, Node *node, int varRelid,
 				{
 					HeapTuple	t = statext_expressions_load(info->statOid, pos);
 
-					/* Get index's table for permission check */
+					/* Get statistics object's table for permission check */
 					RangeTblEntry *rte;
 					Oid			userid;
 
@@ -5276,8 +5276,8 @@ examine_variable(PlannerInfo *root, Node *node, int varRelid,
 					/*
 					 * For simplicity, we insist on the whole table being
 					 * selectable, rather than trying to identify which
-					 * column(s) the statistics depends on.  Also require all
-					 * rows to be selectable --- there must be no
+					 * column(s) the statistics object depends on.  Also
+					 * require all rows to be selectable --- there must be no
 					 * securityQuals from security barrier views or RLS
 					 * policies.
 					 */