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On the distribution of hits

Published online by Cambridge University Press:  14 July 2016

S. M. Rudolfer
S. M. Rudolfer*
Affiliation:
University of Manchester
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Abstract

A marksman fires at a target which consists of s zones. At each stage, he shoots independently of his previous efforts and has a probability p0 of missing the target which is a function of the probabilities p1…, ps of hitting zones 1, …, s, respectively. The distribution of the number of hits Xn on the target after n shots is obtained and used to study the marksman's optimal strategy for the case and α0 ≦ 1.

Keywords

RATE OF CONVERGENCE OF MEAN AND VARIANCEPROCESS BUILT ON A MARKOV CHAINNUMBER OF HITS
Type
Short Communications
Information
Journal of Applied Probability , Volume 13 , Issue 1 , March 1976 , pp. 164 - 168
Copyright
Copyright © Applied Probability Trust 1976 

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