diff --git a/doc/src/sgml/ref/alter_table.sgml b/doc/src/sgml/ref/alter_table.sgml
index 1e4f26c13f6..20f0e4a3140 100644
--- a/doc/src/sgml/ref/alter_table.sgml
+++ b/doc/src/sgml/ref/alter_table.sgml
@@ -207,9 +207,11 @@ WITH ( MODULUS <replaceable class="parameter">numeric_literal</replaceable>, REM
      </para>
 
      <para>
-      When this form is used, the column's statistics are removed,
+      When this form is used, the column's statistics are removed if any,
       so running <link linkend="sql-analyze"><command>ANALYZE</command></link>
       on the table afterwards is recommended.
+      For a virtual generated column, <command>ANALYZE</command>
+      is not necessary because such columns never have statistics.
      </para>
     </listitem>
    </varlistentry>
@@ -270,6 +272,14 @@ WITH ( MODULUS <replaceable class="parameter">numeric_literal</replaceable>, REM
       in a stored generated column is rewritten and all the future changes
       will apply the new generation expression.
      </para>
+
+     <para>
+      When this form is used on a stored generated column, its statistics
+      are removed, so running <link linkend="sql-analyze"><command>ANALYZE
+      </command></link> on the table afterwards is recommended.
+      For a virtual generated column, <command>ANALYZE</command>
+      is not necessary because such columns never have statistics.
+     </para>
     </listitem>
    </varlistentry>