SANTA MONICA, Calif. — She proclaimed her new name on the cover of Vanity Fair magazine, but Caitlyn Jenner’s transition from her old identity as Bruce Jenner is finally official.

A judge on Friday approved Jenner’s request to formally change her name and gender, marking another milestone in the Olympic gold medalist’s public transition as a transgender woman.

Jenner, 65, sought the change “to better match my identity,” according to court filings she submitted earlier this month.

Superior Court Judge Gerald Rosenberg granted the petition during a brief hearing. Jenner did not attend but was represented by two lawyers.