An "autobiographical account" refers to a written or spoken story about a person's own life experiences, thoughts, and feelings. It is a personal and often candid narrative that someone shares about their own life. Full definition
It contains nine chapters, each beginning with a brief autobiographical account of formative moments in Judt's intellectual or personal development. (blog.politics.ox.ac.uk)
According to the brief autobiographical account sometimes appended to her speaking programs, it was the result of her first contact with the spirit world, which occurred when she was nine years old in a meadow near her bucolic childhood home in upstate New York. (bookbrowse.com)
(For a couple of autobiographical accounts along these lines, see the introductions to Donald Dayton's Discovering an Evangelical Heritage and Jim Wallis's Agenda for Biblical People.) (religion-online.org)