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Reliability of Semi-Markov Systems

  • M. Luz Gámiz
  • K. B. Kulasekera
  • Nikolaos Limnios
  • Bo Henry Lindqvist
Chapter
Part of the Springer Series in Reliability Engineering book series (RELIABILITY)

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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  • M. Luz Gámiz
    • 1
  • K. B. Kulasekera
    • 2
  • Nikolaos Limnios
    • 3
  • Bo Henry Lindqvist
    • 4
  1. 1.Facultad Ciencias, Depto. Estadistica e Investigacion OperativaUniversidad GranadaGranadaSpain
  2. 2.Department of Mathematical SciencesClemson UniversityClemsonUSA
  3. 3.Centre de Recherches de Royallieu, Laboratoire de Mathématiques AppliquéesUniversité de Technologie de CompiègneCompiègneFrance
  4. 4.Department of Mathematical SciencesNorwegian University of Science and TechnologyTrondheimNorway

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