Reliability of Semi-Markov Systems

M. Luz Gámiz (), K. B. Kulasekera (), Nikolaos Limnios () and Bo Henry Lindqvist ()
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M. Luz Gámiz: Universidad Granada
K. B. Kulasekera: Clemson University
Nikolaos Limnios: Université de Technologie de Compiègne
Bo Henry Lindqvist: Norwegian University of Science and Technology

Chapter Chapter 6 in Applied Nonparametric Statistics in Reliability, 2011, pp 143-183 from Springer

Abstract: Abstract The purpose of this chapter is to present the reliability analysis of semi-Markov systems. The underconsideration semi-Markov processes are both of continuous and discrete time with countable or finite state space and of general state space. The basic definitions of Markov renewal and semi-Markov processes are presented, as well as the Markov renewal theorem and the basic statistical estimation theory. We describe a general reliability model and give corresponding estimators and their properties.

Keywords: Renewal Process; Sojourn Time; Empirical Estimator; Embed Markov Chain; General State Space (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:ssrchp:978-0-85729-118-9_6

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DOI: 10.1007/978-0-85729-118-9_6

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