Final answer:
The Aircrew Personal Equipment Record is initiated by the cognizant O-level activity using the Record of Promotions, reductions, transfers, casualties, etc., during active service form.
Step-by-step explanation:
The Aircrew Personal Equipment Record (what form) shall be initiated by the cognizant O-level activity upon the initial issue of personal equipment to the aircrew member.
The form that shall be initiated is the Record of Promotions, reductions, transfers, casualties, etc., during active service. This form is used to keep a record of any changes or updates in the aircrew member's personal equipment, such as promotions, transfers, and casualties.
The authority to be quoted in each case is the cognizant O-level activity, which is responsible for initiating and maintaining the Aircrew Personal Equipment Record.