I've always been kind of terrified of being falsely accused of rape. Although I don't know of anyone in real life who has experienced it, I've read a lot of stories of it happening and am really paranoid of it happening to me. As a result, I avoid drunken hookups (me and the girl have to be sober the first time having sex), and refuse to do anything with a girl who has a boyfriend. I think in general, I'm pretty respectful/cognizant of boundaries, and shouldn't really have much to fear. But at the same time, I'm still scared of running into crazies who will throw me under the bus.

How rational is my fear? Are false rape accusations actually somewhat common, or am I being irrationally scared due to reading stories online? And even better, does anyone have statistics regarding this issue?