STOCHASTIC DUELS--II
Abstract
The mean, variance, third central moment, etc., of a marksman's time to hit a passive target are evaluated in terms of the corresponding parameters of his time to fire a single round. The solution of the simple duel in the case where each protagonist's time-to-kill is distributed as a gamma-variate, is obtained as the cumulative distribution of a certain binomial variate, and this result is employed to furnish an approximate solution to the general simple duel. An expansion of the moment-generating function of the marksman's time-to- kill in powers of his kill probability is next derived and found to provide a good approximation to the solution of the simple duel; various properties of the expansion are also considered. A stochastic battle in which all men on both sides are at all times able to participate in the action is examined. A stochastic battle where the two forces can only be brought into play at a single point of contact is entertained.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 13, 1963
- Accession Number
- AD0420515
Entities
People
- Trevor Williams
Organizations
- System Development Corporation