TerryS 
In my view "my autobiography" is an oxymoron.
Glengavel 
It's a tautology, not an oxymoron; that would be me writing "Damon Hill: His Autobiography" (I think). ... Maybe it's an acceptable term, who knows the vagaries of the English language? Not me, and I've only been speaking it for 50-odd years.
It's not an oxymoron, which is the juxtaposition of two words with opposing meanings.
It's not a tautology either, just a flatly accurate statement of presentation, akin to the former F1 driver handing someone a copy of the book and saying "This is my autobiography."
"Damon Hill: My Autobiography" and "Damon Hill: the autobiography" and Damon Hill: an autobiography," would all be correct.
The distinction between them is that in the first version, the author's voice is present.
The second and third would be "publisher's titles" with the author's voice absent, with the distinction that
- the second is a statement implicitly asserting exclusive authority with an expectation that no other autobiography would be forthcoming and/or that previous texts purporting to be an autobiography are not;
- the third presents the possibility that another autobiography either was or will be written or published.
"Damon Hil: his autobiography" is actually the variant that could be considered tautological, given that if it's an autobiography of Damon Hill's, it couldn't be anyone else's, but it can more readily be treated as another "publisher's title," containing a flat statement of accurate presentation.
Odd given that Damon's got a degree in English.
Nah. There are plenty of folks with a degree in English who make mistakes in style, grammar, etc. Their copy editors are supposed to catch them, but not all such errors are caught.
They end up in titles more rarely than they do in the body of texts, but they do so often enough to cause memorable moments of hilarity and/or embarrassment. 
Oddly enough, a quick search revealed not a single one, nor even a list, which I find kinda perplexing. 
Tangentially, there's an interesting book (haven't read it) whose title is:
"There Are Two Errors in the the Title of this Book"
https://www.goodread...le_of_This_Book
Even more so, my search did prompt this excellent collection of amusing titles with nothing grammatically incorrect about them:
http://www.boredpand...-titles-covers/
Edited by Zmeej, 04 October 2016 - 19:23.