Before the estate can be closed, the personal representative must file a final account, report, and petition for final distribution. The process of claiming a bank account after death varies based on a number of factors.Here's how to claim a deceased person's bank accounts. The process to claim a deceased person's bank account is straightforward if there are clearly defined payableondeath beneficiaries or a joint account owner. Begin the probate process. Learn about the California Probate process and get answers to common questions with this comprehensive guide. Navigating probate made easier! In some situations, probate can be avoided in California with a Small Estate Affidavit. Manteca and Livermore based attorney Grant A. Similar to bank accounts, review past income tax returns and collect the deceased person's mail.