grammar - What is the term for giving an action or phenomenon somebody's name, e.g. "Doing a Lord Lucan"?

A friend of mine is keen on taking the glory (or adverse publicity!) when something goes wrong on a job he's working on and he likes to give it his name, e.g., "this is turning into a right Simpson of a job […]."

So I suppose my question is two fold:

• What do you call it when somebody does this?


• What is the grammatical description for the name when used in this context?