Models for repairable systems can be characterized by the effect of the failure and the subsequent repair. Conventional repair models consider two extremes: As-bad-as-old models that lead to the nonhomogeneous Poisson process and the as-good-as-new models that lead to the renewed process. Bayesian methods are considered for models that are a compromise between these extremes. For multiple systems, a hierarchical Bayesian model is proposed. Markov chain Monte Carlo methods are use to approximate properties of the posterior distributions.
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