Bayesian analysis of repairable systems showing a bounded failure intensity

Bayesian analysis of repairable systems showing a bounded failure intensity

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Article ID: iaor200773
Country: Netherlands
Volume: 91
Issue: 7
Start Page Number: 828
End Page Number: 838
Publication Date: Jul 2006
Journal: Reliability Engineering & Systems Safety
Authors: ,
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. Finally, numerical examples are given to illustrate the proposed inferential procedure.

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