diff --git a/src/backend/distributed/commands/distribute_object_ops.c b/src/backend/distributed/commands/distribute_object_ops.c
index 38cee4041..dd456ec4d 100644
--- a/src/backend/distributed/commands/distribute_object_ops.c
+++ b/src/backend/distributed/commands/distribute_object_ops.c
@@ -14,6 +14,7 @@
 
 #include "distributed/commands.h"
 #include "distributed/deparser.h"
+#include "distributed/pg_version_constants.h"
 
 static DistributeObjectOps NoDistributeOps = {
 	.deparse = NULL,
@@ -414,6 +415,29 @@ static DistributeObjectOps Schema_Rename = {
 	.postprocess = NULL,
 	.address = AlterSchemaRenameStmtObjectAddress,
 };
+#if PG_VERSION_NUM >= PG_VERSION_13
+static DistributeObjectOps Statistics_Alter = {
+	.deparse = DeparseAlterStatisticsStmt,
+	.qualify = QualifyAlterStatisticsStmt,
+	.preprocess = PreprocessAlterStatisticsStmt,
+	.postprocess = NULL,
+	.address = NULL,
+};
+#endif
+static DistributeObjectOps Statistics_AlterObjectSchema = {
+	.deparse = DeparseAlterStatisticsSchemaStmt,
+	.qualify = QualifyAlterStatisticsSchemaStmt,
+	.preprocess = PreprocessAlterStatisticsSchemaStmt,
+	.postprocess = PostprocessAlterStatisticsSchemaStmt,
+	.address = AlterStatisticsSchemaStmtObjectAddress,
+};
+static DistributeObjectOps Statistics_AlterOwner = {
+	.deparse = DeparseAlterStatisticsOwnerStmt,
+	.qualify = QualifyAlterStatisticsOwnerStmt,
+	.preprocess = PreprocessAlterStatisticsOwnerStmt,
+	.postprocess = NULL,
+	.address = NULL,
+};
 static DistributeObjectOps Statistics_Drop = {
 	.deparse = NULL,
 	.qualify = QualifyDropStatisticsStmt,
@@ -421,6 +445,13 @@ static DistributeObjectOps Statistics_Drop = {
 	.postprocess = NULL,
 	.address = NULL,
 };
+static DistributeObjectOps Statistics_Rename = {
+	.deparse = DeparseAlterStatisticsRenameStmt,
+	.qualify = QualifyAlterStatisticsRenameStmt,
+	.preprocess = PreprocessAlterStatisticsRenameStmt,
+	.postprocess = NULL,
+	.address = NULL,
+};
 static DistributeObjectOps Table_AlterTable = {
 	.deparse = NULL,
 	.qualify = NULL,
@@ -590,6 +621,11 @@ GetDistributeObjectOps(Node *node)
 					return &Routine_AlterObjectSchema;
 				}
 
+				case OBJECT_STATISTIC_EXT:
+				{
+					return &Statistics_AlterObjectSchema;
+				}
+
 				case OBJECT_TABLE:
 				{
 					return &Table_AlterObjectSchema;
@@ -637,6 +673,11 @@ GetDistributeObjectOps(Node *node)
 					return &Routine_AlterOwner;
 				}
 
+				case OBJECT_STATISTIC_EXT:
+				{
+					return &Statistics_AlterOwner;
+				}
+
 				case OBJECT_TYPE:
 				{
 					return &Type_AlterOwner;
@@ -664,6 +705,13 @@ GetDistributeObjectOps(Node *node)
 			return &Any_AlterRoleSet;
 		}
 
+#if PG_VERSION_NUM >= PG_VERSION_13
+		case T_AlterStatsStmt:
+		{
+			return &Statistics_Alter;
+		}
+
+#endif
 		case T_AlterTableStmt:
 		{
 			AlterTableStmt *stmt = castNode(AlterTableStmt, node);
@@ -907,6 +955,11 @@ GetDistributeObjectOps(Node *node)
 					return &Schema_Rename;
 				}
 
+				case OBJECT_STATISTIC_EXT:
+				{
+					return &Statistics_Rename;
+				}
+
 				case OBJECT_TYPE:
 				{
 					return &Type_Rename;
diff --git a/src/backend/distributed/commands/statistics.c b/src/backend/distributed/commands/statistics.c
index 46fd2ed33..c922a6f31 100644
--- a/src/backend/distributed/commands/statistics.c
+++ b/src/backend/distributed/commands/statistics.c
@@ -37,6 +37,7 @@
 #include "distributed/relation_access_tracking.h"
 #include "distributed/resource_lock.h"
 #include "distributed/worker_transaction.h"
+#include "miscadmin.h"
 #include "utils/builtins.h"
 #include "utils/fmgroids.h"
 #include "utils/lsyscache.h"
@@ -45,7 +46,10 @@
 
 static List * GetExplicitStatisticsIdList(Oid relationId);
 static Oid GetRelIdByStatsOid(Oid statsOid);
-
+static char * CreateAlterCommandIfOwnerNotDefault(Oid statsOid);
+#if PG_VERSION_NUM >= PG_VERSION_13
+static char * CreateAlterCommandIfTargetNotDefault(Oid statsOid);
+#endif
 
 /*
  * PreprocessCreateStatisticsStmt is called during the planning phase for
@@ -190,6 +194,213 @@ PreprocessDropStatisticsStmt(Node *node, const char *queryString)
 }
 
 
+/*
+ * PreprocessAlterStatisticsRenameStmt is called during the planning phase for
+ * ALTER STATISTICS RENAME.
+ */
+List *
+PreprocessAlterStatisticsRenameStmt(Node *node, const char *queryString)
+{
+	RenameStmt *renameStmt = castNode(RenameStmt, node);
+	Assert(renameStmt->renameType == OBJECT_STATISTIC_EXT);
+
+	Oid statsOid = get_statistics_object_oid((List *) renameStmt->object, false);
+	Oid relationId = GetRelIdByStatsOid(statsOid);
+
+	if (!IsCitusTable(relationId) || !ShouldPropagate())
+	{
+		return NIL;
+	}
+
+	EnsureCoordinator();
+
+	QualifyTreeNode((Node *) renameStmt);
+
+	char *ddlCommand = DeparseTreeNode((Node *) renameStmt);
+
+	DDLJob *ddlJob = palloc0(sizeof(DDLJob));
+
+	ddlJob->targetRelationId = relationId;
+	ddlJob->concurrentIndexCmd = false;
+	ddlJob->startNewTransaction = false;
+	ddlJob->commandString = ddlCommand;
+	ddlJob->taskList = DDLTaskList(relationId, ddlCommand);
+
+	List *ddlJobs = list_make1(ddlJob);
+
+	return ddlJobs;
+}
+
+
+/*
+ * PreprocessAlterStatisticsSchemaStmt is called during the planning phase for
+ * ALTER STATISTICS SET SCHEMA.
+ */
+List *
+PreprocessAlterStatisticsSchemaStmt(Node *node, const char *queryString)
+{
+	AlterObjectSchemaStmt *stmt = castNode(AlterObjectSchemaStmt, node);
+	Assert(stmt->objectType == OBJECT_STATISTIC_EXT);
+
+	Oid statsOid = get_statistics_object_oid((List *) stmt->object, false);
+	Oid relationId = GetRelIdByStatsOid(statsOid);
+
+	if (!IsCitusTable(relationId) || !ShouldPropagate())
+	{
+		return NIL;
+	}
+
+	EnsureCoordinator();
+
+	QualifyTreeNode((Node *) stmt);
+
+	char *ddlCommand = DeparseTreeNode((Node *) stmt);
+
+	DDLJob *ddlJob = palloc0(sizeof(DDLJob));
+
+	ddlJob->targetRelationId = relationId;
+	ddlJob->concurrentIndexCmd = false;
+	ddlJob->startNewTransaction = false;
+	ddlJob->commandString = ddlCommand;
+	ddlJob->taskList = DDLTaskList(relationId, ddlCommand);
+
+	List *ddlJobs = list_make1(ddlJob);
+
+	return ddlJobs;
+}
+
+
+/*
+ * PostprocessAlterStatisticsSchemaStmt is called after a ALTER STATISTICS SCHEMA
+ * command has been executed by standard process utility.
+ */
+List *
+PostprocessAlterStatisticsSchemaStmt(Node *node, const char *queryString)
+{
+	AlterObjectSchemaStmt *stmt = castNode(AlterObjectSchemaStmt, node);
+	Assert(stmt->objectType == OBJECT_STATISTIC_EXT);
+
+	Value *statName = llast((List *) stmt->object);
+	Oid statsOid = get_statistics_object_oid(list_make2(makeString(stmt->newschema),
+														statName), false);
+	Oid relationId = GetRelIdByStatsOid(statsOid);
+
+	if (!IsCitusTable(relationId) || !ShouldPropagate())
+	{
+		return NIL;
+	}
+
+	bool missingOk = false;
+	ObjectAddress objectAddress = GetObjectAddressFromParseTree((Node *) stmt, missingOk);
+
+	EnsureDependenciesExistOnAllNodes(&objectAddress);
+
+	return NIL;
+}
+
+
+/*
+ * AlterStatisticsSchemaStmtObjectAddress finds the ObjectAddress for the statistics
+ * that is altered by given AlterObjectSchemaStmt. If missingOk is false and if
+ * the statistics does not exist, then it errors out.
+ *
+ * Never returns NULL, but the objid in the address can be invalid if missingOk
+ * was set to true.
+ */
+ObjectAddress
+AlterStatisticsSchemaStmtObjectAddress(Node *node, bool missingOk)
+{
+	AlterObjectSchemaStmt *stmt = castNode(AlterObjectSchemaStmt, node);
+
+	ObjectAddress address = { 0 };
+	Value *statName = llast((List *) stmt->object);
+	Oid statsOid = get_statistics_object_oid(list_make2(makeString(stmt->newschema),
+														statName), missingOk);
+	ObjectAddressSet(address, StatisticExtRelationId, statsOid);
+
+	return address;
+}
+
+
+#if PG_VERSION_NUM >= PG_VERSION_13
+
+/*
+ * PreprocessAlterStatisticsStmt is called during the planning phase for
+ * ALTER STATISTICS .. SET STATISTICS.
+ */
+List *
+PreprocessAlterStatisticsStmt(Node *node, const char *queryString)
+{
+	AlterStatsStmt *stmt = castNode(AlterStatsStmt, node);
+
+	Oid statsOid = get_statistics_object_oid(stmt->defnames, false);
+	Oid relationId = GetRelIdByStatsOid(statsOid);
+
+	if (!IsCitusTable(relationId) || !ShouldPropagate())
+	{
+		return NIL;
+	}
+
+	EnsureCoordinator();
+
+	QualifyTreeNode((Node *) stmt);
+
+	char *ddlCommand = DeparseTreeNode((Node *) stmt);
+
+	DDLJob *ddlJob = palloc0(sizeof(DDLJob));
+
+	ddlJob->targetRelationId = relationId;
+	ddlJob->concurrentIndexCmd = false;
+	ddlJob->startNewTransaction = false;
+	ddlJob->commandString = ddlCommand;
+	ddlJob->taskList = DDLTaskList(relationId, ddlCommand);
+
+	List *ddlJobs = list_make1(ddlJob);
+
+	return ddlJobs;
+}
+
+
+#endif
+
+/*
+ * PreprocessAlterStatisticsOwnerStmt is called during the planning phase for
+ * ALTER STATISTICS .. OWNER TO.
+ */
+List *
+PreprocessAlterStatisticsOwnerStmt(Node *node, const char *queryString)
+{
+	AlterOwnerStmt *stmt = castNode(AlterOwnerStmt, node);
+	Assert(stmt->objectType == OBJECT_STATISTIC_EXT);
+
+	Oid statsOid = get_statistics_object_oid((List *) stmt->object, false);
+	Oid relationId = GetRelIdByStatsOid(statsOid);
+
+	if (!IsCitusTable(relationId) || !ShouldPropagate())
+	{
+		return NIL;
+	}
+
+	EnsureCoordinator();
+
+	QualifyTreeNode((Node *) stmt);
+
+	char *ddlCommand = DeparseTreeNode((Node *) stmt);
+
+	DDLJob *ddlJob = palloc0(sizeof(DDLJob));
+
+	ddlJob->targetRelationId = relationId;
+	ddlJob->concurrentIndexCmd = false;
+	ddlJob->startNewTransaction = false;
+	ddlJob->commandString = ddlCommand;
+	ddlJob->taskList = DDLTaskList(relationId, ddlCommand);
+
+	List *ddlJobs = list_make1(ddlJob);
+
+	return ddlJobs;
+}
+
+
 /*
  * GetExplicitStatisticsCommandList returns the list of DDL commands to create
  * statistics that are explicitly created for the table with relationId. See
@@ -199,6 +410,7 @@ List *
 GetExplicitStatisticsCommandList(Oid relationId)
 {
 	List *createStatisticsCommandList = NIL;
+	List *alterStatisticsCommandList = NIL;
 
 	PushOverrideEmptySearchPath(CurrentMemoryContext);
 
@@ -207,16 +419,44 @@ GetExplicitStatisticsCommandList(Oid relationId)
 	Oid statisticsId = InvalidOid;
 	foreach_oid(statisticsId, statisticsIdList)
 	{
-		char *createStatisticsCommand = pg_get_statisticsobj_worker(statisticsId, false);
+		char *createStatisticsCommand = pg_get_statisticsobj_worker(statisticsId,
+																	false);
 
-		createStatisticsCommandList = lappend(
-			createStatisticsCommandList,
-			makeTableDDLCommandString(createStatisticsCommand));
+		createStatisticsCommandList =
+			lappend(createStatisticsCommandList,
+					makeTableDDLCommandString(createStatisticsCommand));
+#if PG_VERSION_NUM >= PG_VERSION_13
+
+		/* we need to alter stats' target if it's getting distributed after creation */
+		char *alterStatisticsTargetCommand =
+			CreateAlterCommandIfTargetNotDefault(statisticsId);
+
+		if (alterStatisticsTargetCommand != NULL)
+		{
+			alterStatisticsCommandList =
+				lappend(alterStatisticsCommandList,
+						makeTableDDLCommandString(alterStatisticsTargetCommand));
+		}
+#endif
+
+		/* we need to alter stats' owner if it's getting distributed after creation */
+		char *alterStatisticsOwnerCommand =
+			CreateAlterCommandIfOwnerNotDefault(statisticsId);
+
+		if (alterStatisticsOwnerCommand != NULL)
+		{
+			alterStatisticsCommandList =
+				lappend(alterStatisticsCommandList,
+						makeTableDDLCommandString(alterStatisticsOwnerCommand));
+		}
 	}
 
 	/* revert back to original search_path */
 	PopOverrideSearchPath();
 
+	createStatisticsCommandList = list_concat(createStatisticsCommandList,
+											  alterStatisticsCommandList);
+
 	return createStatisticsCommandList;
 }
 
@@ -332,3 +572,84 @@ GetRelIdByStatsOid(Oid statsOid)
 
 	return statisticsForm->stxrelid;
 }
+
+
+/*
+ * CreateAlterCommandIfOwnerNotDefault returns an ALTER STATISTICS .. OWNER TO
+ * command if the stats object with given id has an owner different than the default one.
+ * Returns NULL otherwise.
+ */
+static char *
+CreateAlterCommandIfOwnerNotDefault(Oid statsOid)
+{
+	HeapTuple tup = SearchSysCache1(STATEXTOID, ObjectIdGetDatum(statsOid));
+
+	if (!HeapTupleIsValid(tup))
+	{
+		ereport(WARNING, (errmsg("No stats object found with id: %u", statsOid)));
+		return NULL;
+	}
+
+	Form_pg_statistic_ext statisticsForm = (Form_pg_statistic_ext) GETSTRUCT(tup);
+	ReleaseSysCache(tup);
+
+	if (statisticsForm->stxowner == GetUserId())
+	{
+		return NULL;
+	}
+
+	char *schemaName = get_namespace_name(statisticsForm->stxnamespace);
+	char *statName = NameStr(statisticsForm->stxname);
+	char *ownerName = GetUserNameFromId(statisticsForm->stxowner, false);
+
+	StringInfoData str;
+	initStringInfo(&str);
+
+	appendStringInfo(&str, "ALTER STATISTICS %s OWNER TO %s",
+					 NameListToQuotedString(list_make2(makeString(schemaName),
+													   makeString(statName))),
+					 quote_identifier(ownerName));
+
+	return str.data;
+}
+
+
+#if PG_VERSION_NUM >= PG_VERSION_13
+
+/*
+ * CreateAlterCommandIfTargetNotDefault returns an ALTER STATISTICS .. SET STATISTICS
+ * command if the stats object with given id has a target different than the default one.
+ * Returns NULL otherwise.
+ */
+static char *
+CreateAlterCommandIfTargetNotDefault(Oid statsOid)
+{
+	HeapTuple tup = SearchSysCache1(STATEXTOID, ObjectIdGetDatum(statsOid));
+
+	if (!HeapTupleIsValid(tup))
+	{
+		ereport(WARNING, (errmsg("No stats object found with id: %u", statsOid)));
+		return NULL;
+	}
+
+	Form_pg_statistic_ext statisticsForm = (Form_pg_statistic_ext) GETSTRUCT(tup);
+	ReleaseSysCache(tup);
+
+	if (statisticsForm->stxstattarget == -1)
+	{
+		return NULL;
+	}
+
+	AlterStatsStmt *alterStatsStmt = makeNode(AlterStatsStmt);
+
+	char *schemaName = get_namespace_name(statisticsForm->stxnamespace);
+	char *statName = NameStr(statisticsForm->stxname);
+
+	alterStatsStmt->stxstattarget = statisticsForm->stxstattarget;
+	alterStatsStmt->defnames = list_make2(makeString(schemaName), makeString(statName));
+
+	return DeparseAlterStatisticsStmt((Node *) alterStatsStmt);
+}
+
+
+#endif
diff --git a/src/backend/distributed/deparser/deparse_statistics_stmts.c b/src/backend/distributed/deparser/deparse_statistics_stmts.c
index 58fd8f736..125d4494f 100644
--- a/src/backend/distributed/deparser/deparse_statistics_stmts.c
+++ b/src/backend/distributed/deparser/deparse_statistics_stmts.c
@@ -22,6 +22,12 @@
 
 static void AppendCreateStatisticsStmt(StringInfo buf, CreateStatsStmt *stmt);
 static void AppendDropStatisticsStmt(StringInfo buf, List *nameList, bool ifExists);
+static void AppendAlterStatisticsRenameStmt(StringInfo buf, RenameStmt *stmt);
+static void AppendAlterStatisticsSchemaStmt(StringInfo buf, AlterObjectSchemaStmt *stmt);
+#if PG_VERSION_NUM >= PG_VERSION_13
+static void AppendAlterStatisticsStmt(StringInfo buf, AlterStatsStmt *stmt);
+#endif
+static void AppendAlterStatisticsOwnerStmt(StringInfo buf, AlterOwnerStmt *stmt);
 static void AppendStatisticsName(StringInfo buf, CreateStatsStmt *stmt);
 static void AppendStatTypes(StringInfo buf, CreateStatsStmt *stmt);
 static void AppendColumnNames(StringInfo buf, CreateStatsStmt *stmt);
@@ -53,6 +59,65 @@ DeparseDropStatisticsStmt(List *nameList, bool ifExists)
 }
 
 
+char *
+DeparseAlterStatisticsRenameStmt(Node *node)
+{
+	RenameStmt *stmt = castNode(RenameStmt, node);
+
+	StringInfoData str;
+	initStringInfo(&str);
+
+	AppendAlterStatisticsRenameStmt(&str, stmt);
+
+	return str.data;
+}
+
+
+char *
+DeparseAlterStatisticsSchemaStmt(Node *node)
+{
+	AlterObjectSchemaStmt *stmt = castNode(AlterObjectSchemaStmt, node);
+
+	StringInfoData str;
+	initStringInfo(&str);
+
+	AppendAlterStatisticsSchemaStmt(&str, stmt);
+
+	return str.data;
+}
+
+
+#if PG_VERSION_NUM >= PG_VERSION_13
+char *
+DeparseAlterStatisticsStmt(Node *node)
+{
+	AlterStatsStmt *stmt = castNode(AlterStatsStmt, node);
+
+	StringInfoData str;
+	initStringInfo(&str);
+
+	AppendAlterStatisticsStmt(&str, stmt);
+
+	return str.data;
+}
+
+
+#endif
+char *
+DeparseAlterStatisticsOwnerStmt(Node *node)
+{
+	AlterOwnerStmt *stmt = castNode(AlterOwnerStmt, node);
+	Assert(stmt->objectType == OBJECT_STATISTIC_EXT);
+
+	StringInfoData str;
+	initStringInfo(&str);
+
+	AppendAlterStatisticsOwnerStmt(&str, stmt);
+
+	return str.data;
+}
+
+
 static void
 AppendCreateStatisticsStmt(StringInfo buf, CreateStatsStmt *stmt)
 {
@@ -74,8 +139,6 @@ AppendCreateStatisticsStmt(StringInfo buf, CreateStatsStmt *stmt)
 	appendStringInfoString(buf, " FROM ");
 
 	AppendTableName(buf, stmt);
-
-	appendStringInfoString(buf, ";");
 }
 
 
@@ -93,6 +156,44 @@ AppendDropStatisticsStmt(StringInfo buf, List *nameList, bool ifExists)
 }
 
 
+static void
+AppendAlterStatisticsRenameStmt(StringInfo buf, RenameStmt *stmt)
+{
+	appendStringInfo(buf, "ALTER STATISTICS %s RENAME TO %s",
+					 NameListToQuotedString((List *) stmt->object), quote_identifier(
+						 stmt->newname));
+}
+
+
+static void
+AppendAlterStatisticsSchemaStmt(StringInfo buf, AlterObjectSchemaStmt *stmt)
+{
+	appendStringInfo(buf, "ALTER STATISTICS %s SET SCHEMA %s",
+					 NameListToQuotedString((List *) stmt->object), quote_identifier(
+						 stmt->newschema));
+}
+
+
+#if PG_VERSION_NUM >= PG_VERSION_13
+static void
+AppendAlterStatisticsStmt(StringInfo buf, AlterStatsStmt *stmt)
+{
+	appendStringInfo(buf, "ALTER STATISTICS %s SET STATISTICS %d", NameListToQuotedString(
+						 stmt->defnames), stmt->stxstattarget);
+}
+
+
+#endif
+static void
+AppendAlterStatisticsOwnerStmt(StringInfo buf, AlterOwnerStmt *stmt)
+{
+	List *names = (List *) stmt->object;
+	appendStringInfo(buf, "ALTER STATISTICS %s OWNER TO %s",
+					 NameListToQuotedString(names),
+					 RoleSpecString(stmt->newowner, true));
+}
+
+
 static void
 AppendStatisticsName(StringInfo buf, CreateStatsStmt *stmt)
 {
diff --git a/src/backend/distributed/deparser/qualify_statistics_stmt.c b/src/backend/distributed/deparser/qualify_statistics_stmt.c
index 9e6d97fa8..2a8cb1eaa 100644
--- a/src/backend/distributed/deparser/qualify_statistics_stmt.c
+++ b/src/backend/distributed/deparser/qualify_statistics_stmt.c
@@ -78,3 +78,89 @@ QualifyDropStatisticsStmt(Node *node)
 
 	dropStatisticsStmt->objects = objectNameListWithSchema;
 }
+
+
+/*
+ * QualifyAlterStatisticsRenameStmt qualifies RenameStmt's with schema name for
+ * ALTER STATISTICS RENAME statements.
+ */
+void
+QualifyAlterStatisticsRenameStmt(Node *node)
+{
+	RenameStmt *renameStmt = castNode(RenameStmt, node);
+	Assert(renameStmt->renameType == OBJECT_STATISTIC_EXT);
+
+	List *nameList = (List *) renameStmt->object;
+	if (list_length(nameList) == 1)
+	{
+		RangeVar *stat = makeRangeVarFromNameList(nameList);
+		Oid schemaOid = RangeVarGetCreationNamespace(stat);
+		stat->schemaname = get_namespace_name(schemaOid);
+		renameStmt->object = (Node *) MakeNameListFromRangeVar(stat);
+	}
+}
+
+
+/*
+ * QualifyAlterStatisticsSchemaStmt qualifies AlterObjectSchemaStmt's with schema name for
+ * ALTER STATISTICS RENAME statements.
+ */
+void
+QualifyAlterStatisticsSchemaStmt(Node *node)
+{
+	AlterObjectSchemaStmt *stmt = castNode(AlterObjectSchemaStmt, node);
+	Assert(stmt->objectType == OBJECT_STATISTIC_EXT);
+
+	List *nameList = (List *) stmt->object;
+	if (list_length(nameList) == 1)
+	{
+		RangeVar *stat = makeRangeVarFromNameList(nameList);
+		Oid schemaOid = RangeVarGetCreationNamespace(stat);
+		stat->schemaname = get_namespace_name(schemaOid);
+		stmt->object = (Node *) MakeNameListFromRangeVar(stat);
+	}
+}
+
+
+#if PG_VERSION_NUM >= PG_VERSION_13
+
+/*
+ * QualifyAlterStatisticsStmt qualifies AlterStatsStmt's with schema name for
+ * ALTER STATISTICS .. SET STATISTICS statements.
+ */
+void
+QualifyAlterStatisticsStmt(Node *node)
+{
+	AlterStatsStmt *stmt = castNode(AlterStatsStmt, node);
+
+	if (list_length(stmt->defnames) == 1)
+	{
+		RangeVar *stat = makeRangeVarFromNameList(stmt->defnames);
+		Oid schemaOid = RangeVarGetCreationNamespace(stat);
+		stat->schemaname = get_namespace_name(schemaOid);
+		stmt->defnames = MakeNameListFromRangeVar(stat);
+	}
+}
+
+
+#endif
+
+/*
+ * QualifyAlterStatisticsStmt qualifies AlterOwnerStmt's with schema name for
+ * ALTER STATISTICS .. OWNER TO statements.
+ */
+void
+QualifyAlterStatisticsOwnerStmt(Node *node)
+{
+	AlterOwnerStmt *stmt = castNode(AlterOwnerStmt, node);
+	Assert(stmt->objectType == OBJECT_STATISTIC_EXT);
+
+	List *nameList = (List *) stmt->object;
+	if (list_length(nameList) == 1)
+	{
+		RangeVar *stat = makeRangeVarFromNameList(nameList);
+		Oid schemaOid = RangeVarGetCreationNamespace(stat);
+		stat->schemaname = get_namespace_name(schemaOid);
+		stmt->object = (Node *) MakeNameListFromRangeVar(stat);
+	}
+}
diff --git a/src/backend/distributed/relay/relay_event_utility.c b/src/backend/distributed/relay/relay_event_utility.c
index fd9f4de71..9e1ca2865 100644
--- a/src/backend/distributed/relay/relay_event_utility.c
+++ b/src/backend/distributed/relay/relay_event_utility.c
@@ -82,17 +82,48 @@ RelayEventExtendNames(Node *parseTree, char *schemaName, uint64 shardId)
 		{
 			AlterObjectSchemaStmt *alterObjectSchemaStmt =
 				(AlterObjectSchemaStmt *) parseTree;
-			char **relationName = &(alterObjectSchemaStmt->relation->relname);
-			char **relationSchemaName = &(alterObjectSchemaStmt->relation->schemaname);
+			ObjectType objectType = alterObjectSchemaStmt->objectType;
 
-			/* prefix with schema name if it is not added already */
-			SetSchemaNameIfNotExist(relationSchemaName, schemaName);
+			if (objectType == OBJECT_STATISTIC_EXT)
+			{
+				RangeVar *stat = makeRangeVarFromNameList(
+					(List *) alterObjectSchemaStmt->object);
+
+				/* append shard id */
+				AppendShardIdToName(&stat->relname, shardId);
+
+				alterObjectSchemaStmt->object = (Node *) MakeNameListFromRangeVar(stat);
+			}
+			else
+			{
+				char **relationName = &(alterObjectSchemaStmt->relation->relname);
+				char **relationSchemaName =
+					&(alterObjectSchemaStmt->relation->schemaname);
+
+				/* prefix with schema name if it is not added already */
+				SetSchemaNameIfNotExist(relationSchemaName, schemaName);
+
+				/* append shardId to base relation name */
+				AppendShardIdToName(relationName, shardId);
+			}
 
-			/* append shardId to base relation name */
-			AppendShardIdToName(relationName, shardId);
 			break;
 		}
 
+#if PG_VERSION_NUM >= PG_VERSION_13
+		case T_AlterStatsStmt:
+		{
+			AlterStatsStmt *alterStatsStmt = (AlterStatsStmt *) parseTree;
+			RangeVar *stat = makeRangeVarFromNameList(alterStatsStmt->defnames);
+
+			AppendShardIdToName(&stat->relname, shardId);
+
+			alterStatsStmt->defnames = MakeNameListFromRangeVar(stat);
+
+			break;
+		}
+#endif
+
 		case T_AlterTableStmt:
 		{
 			/*
@@ -180,6 +211,22 @@ RelayEventExtendNames(Node *parseTree, char *schemaName, uint64 shardId)
 			break;
 		}
 
+		case T_AlterOwnerStmt:
+		{
+			AlterOwnerStmt *alterOwnerStmt = castNode(AlterOwnerStmt, parseTree);
+
+			/* we currently extend names in alter owner statements only for statistics */
+			Assert(alterOwnerStmt->objectType == OBJECT_STATISTIC_EXT);
+
+			RangeVar *stat = makeRangeVarFromNameList((List *) alterOwnerStmt->object);
+
+			AppendShardIdToName(&stat->relname, shardId);
+
+			alterOwnerStmt->object = (Node *) MakeNameListFromRangeVar(stat);
+
+			break;
+		}
+
 		case T_ClusterStmt:
 		{
 			ClusterStmt *clusterStmt = (ClusterStmt *) parseTree;
@@ -530,6 +577,17 @@ RelayEventExtendNames(Node *parseTree, char *schemaName, uint64 shardId)
 			{
 				RenamePolicyEventExtendNames(renameStmt, schemaName, shardId);
 			}
+			else if (objectType == OBJECT_STATISTIC_EXT)
+			{
+				RangeVar *stat = makeRangeVarFromNameList((List *) renameStmt->object);
+
+				AppendShardIdToName(&stat->relname, shardId);
+				AppendShardIdToName(&renameStmt->newname, shardId);
+
+				SetSchemaNameIfNotExist(&stat->schemaname, schemaName);
+
+				renameStmt->object = (Node *) MakeNameListFromRangeVar(stat);
+			}
 			else
 			{
 				ereport(WARNING, (errmsg("unsafe object type in rename statement"),
diff --git a/src/include/distributed/commands.h b/src/include/distributed/commands.h
index b33e5486e..338f3f25c 100644
--- a/src/include/distributed/commands.h
+++ b/src/include/distributed/commands.h
@@ -282,6 +282,12 @@ extern List * PreprocessCreateStatisticsStmt(Node *node, const char *queryString
 extern List * PostprocessCreateStatisticsStmt(Node *node, const char *queryString);
 extern ObjectAddress CreateStatisticsStmtObjectAddress(Node *node, bool missingOk);
 extern List * PreprocessDropStatisticsStmt(Node *node, const char *queryString);
+extern List * PreprocessAlterStatisticsRenameStmt(Node *node, const char *queryString);
+extern List * PreprocessAlterStatisticsSchemaStmt(Node *node, const char *queryString);
+extern List * PostprocessAlterStatisticsSchemaStmt(Node *node, const char *queryString);
+extern ObjectAddress AlterStatisticsSchemaStmtObjectAddress(Node *node, bool missingOk);
+extern List * PreprocessAlterStatisticsStmt(Node *node, const char *queryString);
+extern List * PreprocessAlterStatisticsOwnerStmt(Node *node, const char *queryString);
 extern List * GetExplicitStatisticsCommandList(Oid relationId);
 extern List * GetExplicitStatisticsSchemaIdList(Oid relationId);
 
diff --git a/src/include/distributed/deparser.h b/src/include/distributed/deparser.h
index d49797f05..7e264544c 100644
--- a/src/include/distributed/deparser.h
+++ b/src/include/distributed/deparser.h
@@ -58,9 +58,17 @@ extern char * DeparseAlterSchemaRenameStmt(Node *stmt);
 /* forward declarations for deparse_statistics_stmts.c */
 extern char * DeparseCreateStatisticsStmt(Node *node);
 extern char * DeparseDropStatisticsStmt(List *nameList, bool ifExists);
+extern char * DeparseAlterStatisticsRenameStmt(Node *node);
+extern char * DeparseAlterStatisticsSchemaStmt(Node *node);
+extern char * DeparseAlterStatisticsStmt(Node *node);
+extern char * DeparseAlterStatisticsOwnerStmt(Node *node);
 
 extern void QualifyCreateStatisticsStmt(Node *node);
 extern void QualifyDropStatisticsStmt(Node *node);
+extern void QualifyAlterStatisticsRenameStmt(Node *node);
+extern void QualifyAlterStatisticsSchemaStmt(Node *node);
+extern void QualifyAlterStatisticsStmt(Node *node);
+extern void QualifyAlterStatisticsOwnerStmt(Node *node);
 
 /* forward declarations for deparse_type_stmts.c */
 extern char * DeparseCompositeTypeStmt(Node *stmt);
diff --git a/src/test/regress/expected/pg13_propagate_statistics.out b/src/test/regress/expected/pg13_propagate_statistics.out
new file mode 100644
index 000000000..c75eb333f
--- /dev/null
+++ b/src/test/regress/expected/pg13_propagate_statistics.out
@@ -0,0 +1,112 @@
+SHOW server_version \gset
+SELECT substring(:'server_version', '\d+')::int > 12 AS server_version_above_twelve
+\gset
+\if :server_version_above_twelve
+\else
+\q
+\endif
+CREATE SCHEMA "statistics'TestTarget";
+SET search_path TO "statistics'TestTarget";
+SET citus.next_shard_id TO 980000;
+SET client_min_messages TO WARNING;
+SET citus.shard_count TO 32;
+SET citus.shard_replication_factor TO 1;
+CREATE TABLE t1 (a int, b int);
+CREATE STATISTICS s1 ON a,b FROM t1;
+CREATE STATISTICS s2 ON a,b FROM t1;
+CREATE STATISTICS s3 ON a,b FROM t1;
+CREATE STATISTICS s4 ON a,b FROM t1;
+-- test altering stats target
+-- test alter target before distribution
+ALTER STATISTICS s1 SET STATISTICS 3;
+-- since max value for target is 10000, this will automatically be lowered
+ALTER STATISTICS s2 SET STATISTICS 999999;
+WARNING:  lowering statistics target to 10000
+SELECT create_distributed_table('t1', 'b');
+ create_distributed_table
+---------------------------------------------------------------------
+
+(1 row)
+
+-- test alter target before distribution
+ALTER STATISTICS s3 SET STATISTICS 46;
+\c - - - :worker_1_port
+SELECT stxstattarget, stxrelid::regclass
+FROM pg_statistic_ext
+WHERE stxnamespace IN (
+	SELECT oid
+	FROM pg_namespace
+	WHERE nspname IN ('statistics''TestTarget')
+)
+ORDER BY stxstattarget, stxrelid::regclass ASC;
+ stxstattarget |             stxrelid
+---------------------------------------------------------------------
+            -1 | "statistics'TestTarget".t1_980000
+            -1 | "statistics'TestTarget".t1_980002
+            -1 | "statistics'TestTarget".t1_980004
+            -1 | "statistics'TestTarget".t1_980006
+            -1 | "statistics'TestTarget".t1_980008
+            -1 | "statistics'TestTarget".t1_980010
+            -1 | "statistics'TestTarget".t1_980012
+            -1 | "statistics'TestTarget".t1_980014
+            -1 | "statistics'TestTarget".t1_980016
+            -1 | "statistics'TestTarget".t1_980018
+            -1 | "statistics'TestTarget".t1_980020
+            -1 | "statistics'TestTarget".t1_980022
+            -1 | "statistics'TestTarget".t1_980024
+            -1 | "statistics'TestTarget".t1_980026
+            -1 | "statistics'TestTarget".t1_980028
+            -1 | "statistics'TestTarget".t1_980030
+             3 | "statistics'TestTarget".t1_980000
+             3 | "statistics'TestTarget".t1_980002
+             3 | "statistics'TestTarget".t1_980004
+             3 | "statistics'TestTarget".t1_980006
+             3 | "statistics'TestTarget".t1_980008
+             3 | "statistics'TestTarget".t1_980010
+             3 | "statistics'TestTarget".t1_980012
+             3 | "statistics'TestTarget".t1_980014
+             3 | "statistics'TestTarget".t1_980016
+             3 | "statistics'TestTarget".t1_980018
+             3 | "statistics'TestTarget".t1_980020
+             3 | "statistics'TestTarget".t1_980022
+             3 | "statistics'TestTarget".t1_980024
+             3 | "statistics'TestTarget".t1_980026
+             3 | "statistics'TestTarget".t1_980028
+             3 | "statistics'TestTarget".t1_980030
+            46 | "statistics'TestTarget".t1_980000
+            46 | "statistics'TestTarget".t1_980002
+            46 | "statistics'TestTarget".t1_980004
+            46 | "statistics'TestTarget".t1_980006
+            46 | "statistics'TestTarget".t1_980008
+            46 | "statistics'TestTarget".t1_980010
+            46 | "statistics'TestTarget".t1_980012
+            46 | "statistics'TestTarget".t1_980014
+            46 | "statistics'TestTarget".t1_980016
+            46 | "statistics'TestTarget".t1_980018
+            46 | "statistics'TestTarget".t1_980020
+            46 | "statistics'TestTarget".t1_980022
+            46 | "statistics'TestTarget".t1_980024
+            46 | "statistics'TestTarget".t1_980026
+            46 | "statistics'TestTarget".t1_980028
+            46 | "statistics'TestTarget".t1_980030
+         10000 | "statistics'TestTarget".t1_980000
+         10000 | "statistics'TestTarget".t1_980002
+         10000 | "statistics'TestTarget".t1_980004
+         10000 | "statistics'TestTarget".t1_980006
+         10000 | "statistics'TestTarget".t1_980008
+         10000 | "statistics'TestTarget".t1_980010
+         10000 | "statistics'TestTarget".t1_980012
+         10000 | "statistics'TestTarget".t1_980014
+         10000 | "statistics'TestTarget".t1_980016
+         10000 | "statistics'TestTarget".t1_980018
+         10000 | "statistics'TestTarget".t1_980020
+         10000 | "statistics'TestTarget".t1_980022
+         10000 | "statistics'TestTarget".t1_980024
+         10000 | "statistics'TestTarget".t1_980026
+         10000 | "statistics'TestTarget".t1_980028
+         10000 | "statistics'TestTarget".t1_980030
+(64 rows)
+
+\c - - - :master_port
+SET client_min_messages TO WARNING;
+DROP SCHEMA "statistics'TestTarget" CASCADE;
diff --git a/src/test/regress/expected/pg13_propagate_statistics_0.out b/src/test/regress/expected/pg13_propagate_statistics_0.out
new file mode 100644
index 000000000..e25fbb82d
--- /dev/null
+++ b/src/test/regress/expected/pg13_propagate_statistics_0.out
@@ -0,0 +1,6 @@
+SHOW server_version \gset
+SELECT substring(:'server_version', '\d+')::int > 12 AS server_version_above_twelve
+\gset
+\if :server_version_above_twelve
+\else
+\q
diff --git a/src/test/regress/expected/propagate_statistics.out b/src/test/regress/expected/propagate_statistics.out
index 2a69cec89..80e501fff 100644
--- a/src/test/regress/expected/propagate_statistics.out
+++ b/src/test/regress/expected/propagate_statistics.out
@@ -70,6 +70,27 @@ DROP STATISTICS IF EXISTS s3, sc2.s4, s6;
 DROP STATISTICS s5,s6;
 ERROR:  statistics object "statistics'Test.s6" does not exist
 DROP STATISTICS IF EXISTS s5,s5,s6,s6;
+-- test renaming statistics
+CREATE STATISTICS s6 ON a,b FROM test_stats4;
+DROP STATISTICS s7;
+ERROR:  statistics object "statistics'Test.s7" does not exist
+ALTER STATISTICS s6 RENAME TO s7;
+ALTER STATISTICS sc1.st1 RENAME TO st1_new;
+-- test altering stats schema
+CREATE SCHEMA test_alter_schema;
+ALTER STATISTICS s7 SET SCHEMA test_alter_schema;
+-- test alter owner
+ALTER STATISTICS sc2."neW'Stat" OWNER TO pg_monitor;
+-- test alter owner before distribution
+CREATE TABLE ownertest(a int, b int);
+CREATE STATISTICS sc1.s9 ON a,b FROM ownertest;
+ALTER STATISTICS sc1.s9 OWNER TO pg_signal_backend;
+SELECT create_distributed_table('ownertest','a');
+ create_distributed_table
+---------------------------------------------------------------------
+
+(1 row)
+
 \c - - - :worker_1_port
 SELECT stxname
 FROM pg_statistic_ext
@@ -129,23 +150,39 @@ ORDER BY stxname ASC;
  s2_980058
  s2_980060
  s2_980062
- st1_980064
- st1_980066
- st1_980068
- st1_980070
- st1_980072
- st1_980074
- st1_980076
- st1_980078
- st1_980080
- st1_980082
- st1_980084
- st1_980086
- st1_980088
- st1_980090
- st1_980092
- st1_980094
-(64 rows)
+ s9_980129
+ s9_980131
+ s9_980133
+ s9_980135
+ s9_980137
+ s9_980139
+ s9_980141
+ s9_980143
+ s9_980145
+ s9_980147
+ s9_980149
+ s9_980151
+ s9_980153
+ s9_980155
+ s9_980157
+ s9_980159
+ st1_new_980064
+ st1_new_980066
+ st1_new_980068
+ st1_new_980070
+ st1_new_980072
+ st1_new_980074
+ st1_new_980076
+ st1_new_980078
+ st1_new_980080
+ st1_new_980082
+ st1_new_980084
+ st1_new_980086
+ st1_new_980088
+ st1_new_980090
+ st1_new_980092
+ st1_new_980094
+(80 rows)
 
 SELECT count(DISTINCT stxnamespace)
 FROM pg_statistic_ext
@@ -159,8 +196,21 @@ WHERE stxnamespace IN (
      3
 (1 row)
 
+SELECT COUNT(DISTINCT stxowner)
+FROM pg_statistic_ext
+WHERE stxnamespace IN (
+	SELECT oid
+	FROM pg_namespace
+	WHERE nspname IN ('public', 'statistics''Test', 'sc1', 'sc2')
+);
+ count
+---------------------------------------------------------------------
+     3
+(1 row)
+
 \c - - - :master_port
 SET client_min_messages TO WARNING;
 DROP SCHEMA "statistics'Test" CASCADE;
+DROP SCHEMA test_alter_schema CASCADE;
 DROP SCHEMA sc1 CASCADE;
 DROP SCHEMA sc2 CASCADE;
diff --git a/src/test/regress/multi_schedule b/src/test/regress/multi_schedule
index 5f862dc71..8a65fb475 100644
--- a/src/test/regress/multi_schedule
+++ b/src/test/regress/multi_schedule
@@ -94,6 +94,7 @@ test: tableam
 # Tests for statistics propagation
 # ----------
 test: propagate_statistics
+test: pg13_propagate_statistics
 
 # ----------
 # Miscellaneous tests to check our query planning behavior
diff --git a/src/test/regress/sql/pg13_propagate_statistics.sql b/src/test/regress/sql/pg13_propagate_statistics.sql
new file mode 100644
index 000000000..9716d3289
--- /dev/null
+++ b/src/test/regress/sql/pg13_propagate_statistics.sql
@@ -0,0 +1,45 @@
+SHOW server_version \gset
+SELECT substring(:'server_version', '\d+')::int > 12 AS server_version_above_twelve
+\gset
+\if :server_version_above_twelve
+\else
+\q
+\endif
+
+CREATE SCHEMA "statistics'TestTarget";
+SET search_path TO "statistics'TestTarget";
+SET citus.next_shard_id TO 980000;
+SET client_min_messages TO WARNING;
+SET citus.shard_count TO 32;
+SET citus.shard_replication_factor TO 1;
+
+CREATE TABLE t1 (a int, b int);
+CREATE STATISTICS s1 ON a,b FROM t1;
+CREATE STATISTICS s2 ON a,b FROM t1;
+CREATE STATISTICS s3 ON a,b FROM t1;
+CREATE STATISTICS s4 ON a,b FROM t1;
+
+-- test altering stats target
+-- test alter target before distribution
+ALTER STATISTICS s1 SET STATISTICS 3;
+-- since max value for target is 10000, this will automatically be lowered
+ALTER STATISTICS s2 SET STATISTICS 999999;
+
+SELECT create_distributed_table('t1', 'b');
+
+-- test alter target before distribution
+ALTER STATISTICS s3 SET STATISTICS 46;
+
+\c - - - :worker_1_port
+SELECT stxstattarget, stxrelid::regclass
+FROM pg_statistic_ext
+WHERE stxnamespace IN (
+	SELECT oid
+	FROM pg_namespace
+	WHERE nspname IN ('statistics''TestTarget')
+)
+ORDER BY stxstattarget, stxrelid::regclass ASC;
+
+\c - - - :master_port
+SET client_min_messages TO WARNING;
+DROP SCHEMA "statistics'TestTarget" CASCADE;
diff --git a/src/test/regress/sql/propagate_statistics.sql b/src/test/regress/sql/propagate_statistics.sql
index 1c46b9644..8a0372cf7 100644
--- a/src/test/regress/sql/propagate_statistics.sql
+++ b/src/test/regress/sql/propagate_statistics.sql
@@ -57,6 +57,24 @@ DROP STATISTICS IF EXISTS s3, sc2.s4, s6;
 DROP STATISTICS s5,s6;
 DROP STATISTICS IF EXISTS s5,s5,s6,s6;
 
+-- test renaming statistics
+CREATE STATISTICS s6 ON a,b FROM test_stats4;
+DROP STATISTICS s7;
+ALTER STATISTICS s6 RENAME TO s7;
+ALTER STATISTICS sc1.st1 RENAME TO st1_new;
+
+-- test altering stats schema
+CREATE SCHEMA test_alter_schema;
+ALTER STATISTICS s7 SET SCHEMA test_alter_schema;
+
+-- test alter owner
+ALTER STATISTICS sc2."neW'Stat" OWNER TO pg_monitor;
+-- test alter owner before distribution
+CREATE TABLE ownertest(a int, b int);
+CREATE STATISTICS sc1.s9 ON a,b FROM ownertest;
+ALTER STATISTICS sc1.s9 OWNER TO pg_signal_backend;
+SELECT create_distributed_table('ownertest','a');
+
 \c - - - :worker_1_port
 SELECT stxname
 FROM pg_statistic_ext
@@ -75,8 +93,17 @@ WHERE stxnamespace IN (
 	WHERE nspname IN ('public', 'statistics''Test', 'sc1', 'sc2')
 );
 
+SELECT COUNT(DISTINCT stxowner)
+FROM pg_statistic_ext
+WHERE stxnamespace IN (
+	SELECT oid
+	FROM pg_namespace
+	WHERE nspname IN ('public', 'statistics''Test', 'sc1', 'sc2')
+);
+
 \c - - - :master_port
 SET client_min_messages TO WARNING;
 DROP SCHEMA "statistics'Test" CASCADE;
+DROP SCHEMA test_alter_schema CASCADE;
 DROP SCHEMA sc1 CASCADE;
 DROP SCHEMA sc2 CASCADE;