In reply to Rick:
I put my abseil back-up prusik below my belay device. The belay device screwgate is on short extender, attached to my harness belay loop by another screwgate. You could also use a short QD with both the krabs at one end, with their gates opposed. The back-up prusik (french prusik/autoblock) is also attached to my harness belay loop on another screwgate. That's why the belay device is on the end of a short extender, so that there's room for the prusik.
If I let go the dead rope for any reason the back-up prusik bites and holds me on the belay device. I can stop any time I want to without worrying about the prusik slipping because it's the belay device which is braking the rope; the prusik is just holding the rope in the correct braking position. My legs are not encumbered by having dead rope wrapped round them (although I could do this as well if I wanted to, for even more security) or by having a prusik clipped in to one of my leg loops, so I can still maneouvre myself around the rock face if I need to eg to reach a stricken partner. If anything untoward should happen to the belay device then I can still hang on the prusik by my belay loop, although to be honest I'm not sure what might happen to a belay device which would lead to this eventuality, I've just heard it suggested as another reason to favour the belay loop over the leg loop.
Putting the abseil back-up prusik above the belay device means that you have to keep one hand on the rope above the belay device in order to descend. Controlled tests indicate that people who lose control of their belay device will instinctively grab at the rope above them. If you already have a hand on the rope above your belay device then you will likely as not grab with that hand, which in all probability will release the back-up prusik as well, thus removing all braking from the system and leading to a rapid and potentially painful descent.
To avoid the risk of abbing off the end of the rope, tie knots in the free ends before throwing them down. Trusting a prusik to hold you on the last foot or so of the rope if your belay/ab device has just dropped off the end is optimism of the highest order, IMHO.
If at any time you need to re-ascend, you use a second prusik, or a tibloc, or a sling or anything else suitable that you have to hand. It's just something else you should check before you commit to a "blind" abseil: am I carrying the kit I need to get myself out of trouble if this turns out to be a bad line to ab down?
But then I am paranoid about abseiling and always check everything twice before setting off, including asking myself these sorts of questions. You are so completely dependent on your equipment when abbing, and too many other people have hurt themselves by not being careful enough.
All that being said, if all I had left after an accident was a rope and one non-locking krab, and if the only alternative to going down was imminent death from exposure, then I'd probably take my chance on the rope.