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A Compound Poisson Approximation Inequality
Published online by Cambridge University Press: 14 July 2016
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.
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- © Applied Probability Trust 2006
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