Ancker Jr. C.J. The One-on-One Stochastic Duel. Parts I and II

University of Southern California. — Los Angeles, 1979. — 104 p.This report is approximately one half of the output of a project to exhaustively review the literature of one-on-one stochastic duels. It contains two main parts. The first is an exposition, identifying and tying together for the first time, by examples, the two principal analytical techniques used, namely; mixture theory and renewal theory. Secondly, it contains an exhaustive, comprehensive, and fully annotated bibliography of all research results in this theory which are known to the author. Finally, it also lists many theorems involving characteristic functions which are particularly useful for this work.