Bayesian estimations of parameters in a three state reliability semi-Markov models

摘要

Maximum likelihood and Bayes estimates of the parameters included in a three state semi-Markov reliability models are presented. The renewal kernel which depends upon a vector of unknown parameters is used to define a semi-Markov process which can be used to describe some reliability models. Estimations of the parameters included in the semi-Markov reliability model of standby system with repair are considered. Moreover, some of the obtained results are compared with those obtained in other literature. Special case of the obtained results is presented.