Modelling of repairable systems with various degrees of repair

The availability of a stochastic repairable system depends on the failure behaviour and on repair strategies. In this paper, the authors deal with a general repair model for a system using auxiliary counting processes and corresponding intensities which include various degrees of repair (between minimal repair and perfect repair). For determining the model parameters the authors need estimators depending on failure times and repair times: maximum likelihood estimator and Bayes estimators are considered. Special results are obtained by the use of Weibull-type intensities and random observation times.