CREATE STATISTICS Permissions
CREATE STATISTICS FOR ALL TABLES requires DB_ADMIN or equivalent privileges.
CREATE STATISTICS FOR ALL owner TABLES requires that the effective user be owner, or that the session have DB_ADMIN or equivalent privileges.
CREATE STATISTICS FOR tablename, ...requires that the user own the table, or the session have DB_ADMIN or equivalent privileges, or the user be granted the MODIFY privilege for the table. If any table in the list fails the permission check, the entire statement fails.
Similar permissions are required for DROP STATISTICS.
Note: "DB_ADMIN or equivalent" means that the user must be the DBA (owner) of the database, or has been granted the DB_ADMIN database privilege for the database or installation, or is defined as a SECURITY user.