I did a little research on this not to long ago and IIRC I found the following 2 ways to reduce your risk of becoming a statistic:
1) Dont' drink and ride. One of the most common accident is a single vehicle accident (ie motos only). This occurs when you try and go off-roading in a turn and either make love to a tree or imitate Sting at the end of Quadraphenia (sp?) but forget to jump off. Now, this goes for riding over your abilities as well but I know when I'm sauced up I feel like I can go round a decreasing radius turn at 120 (Tourist Trophy PS2 only, of course)
2) Where helmut? There helmut! I don't want to start anything with this, but I think you stand a better chance if you wear a full face DOT approved helmut than if you don't. Full gear helps too because when you take 250g's to the dome (and that's with a helmut) AND have most of your skin removed on your shoulder/back your prognosis isn't good.
There is not much you can do about "left-handers" other than be cautious and keep to the posted limit when you feel vulnerable. I know we all fear being rear-ended (and not just in the Turkish prison way but on the road too) but I think it was proven that it isn't in the top 3. Don't tear my head off if I'm wrong...I know i've seen some scary pics of rear-ends (please disredard the joke in there).
Just my 2 cents!