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

Stylianos Georgiadis (1) , N. Limnios (1) , I. Votsi (1, 2)

1 LMAC - Laboratoire de Mathématiques Appliquées de Compiègne
2 Aristotle University of Thessaloniki

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.

Mots clés: Semi-Markov chain; empirical estimation; rate of occurrence of failures; steady- state availability; first occurred failure

Domaines: Applications [stat.AP]

Stylianos Georgiadis, N. Limnios, I. Votsi. Reliability and probability of first occurred failure for discrete-time semi-Markov systems. Applied Reliability Engineering and Risk Analysis: Probabilistic Models and Statistical Inference, Wiley, 2013, ⟨10.1002/9781118701881.ch12⟩. ⟨hal-01635222⟩