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Probabilistic Models and Statistical Inference, p. 167-179

DOI: 10.1002/9781118701881.ch12

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Reliability and probability of first occurred failure for discrete-time semi-Markov systems

Journal article published in 2013 by Stylianos Georgiadis ORCID, Nikolaos Limnios, Irene Votsi
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This paper is available in a repository.

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Abstract

In this chapter, we present the empirical estimation of some reliability measures, such as the rate of occurrence of failures and the steady-state availability, for a discrete-time semi-Markov system. The probability of first occurred failure is introduced and estimated. A numerical application is given to illustrate the strong consistency of these estimators.