Abstract
We give conditions under which the number of events which occur in a sequence of m-dependent events is stochastically smaller than a suitably defined compound Poisson random variable. The results are applied to counts of sequence pattern appearances and to system reliability. We also provide a numerical example.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Cited by
2 articles.
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1. Coverage of Random Discs Driven by a Poisson Point Process;Probability Approximations and Beyond;2011-12-07
2. Risk Analysis of Complex and Uncertain Systems;International Series in Operations Research & Management Science;2009