Bayesian analysis of ARA imperfect repair models

Special Issue: The Seventh International Conference on Mathematical Methods in Reliability: Theory, Methods, and ApplicationsInternational audienceThis article proposes a Bayesian analysis of a class of imperfect repair models, the ARA models. The choice of prior distributions and the computation of posterior distributions are discussed. The presentation is unified for all ARA models and many kinds of possible priors. A numerical study on the quality of the Bayesian estimators is presented, as well as a comparison with the maximum likelihood estimators. Finally, the approach is applied to a real data set