Accession Number:

AD0420515

Title:

STOCHASTIC DUELS--II

Descriptive Note:

Corporate Author:

SYSTEM DEVELOPMENT CORP SANTA MONICA CA

Personal Author(s):

Report Date:

1963-09-13

Pagination or Media Count:

65.0

Abstract:

The mean, variance, third central moment, etc., of a marksmans 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 protagonists 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 marksmans 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.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE