A Poisson limit theorem for reliability models based on Markov chains


In this article, we deal with a class of discrete-time reliability models. The failures are assumed to be generated by an underlying time inhomogeneous Markov chain. The multivariate point process of failures is proved to converge to a Poissontype process when the failures are rare. As a result, we obtain a Compound Poisson approximation of the cumulative… (More)


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