Bayesian analysis of repairable systems showing a bounded failure intensity

Maurizio Guida and Gianpaolo Pulcini

Reliability Engineering and System Safety, 2006, vol. 91, issue 7, 828-838

Abstract: The failure pattern of repairable mechanical equipment subject to deterioration phenomena sometimes shows a finite bound for the increasing failure intensity. A non-homogeneous Poisson process with bounded increasing failure intensity is then illustrated and its characteristics are discussed. A Bayesian procedure, based on prior information on model-free quantities, is developed in order to allow technical information on the failure process to be incorporated into the inferential procedure and to improve the inference accuracy. Posterior estimation of the model-free quantities and of other quantities of interest (such as the optimal replacement interval) is provided, as well as prediction on the waiting time to the next failure and on the number of failures in a future time interval is given. Finally, numerical examples are given to illustrate the proposed inferential procedure.

Keywords: Repairable systems; Non-homogeneous Poisson process, Bayesian estimation (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:91:y:2006:i:7:p:828-838

DOI: 10.1016/j.ress.2005.08.008

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