Estimating repair effect and parameters of intensity function under the repair model of Brown, Mahoney and Sivazlian

Estimation problems of parameters of the failure process and the repair effect in repairable systems are considered. We propose estimation procedures in repairable systems without preventive maintenances. The failure process is modeled by a proportional age reduction model which is able to consider both ageing and repair effects. Maximum likelihood method is used to estimate the repair effect and parameters of intensity function simultaneously. Simulations are performed to evaluate the accuracy of estimators. A numerical example is also presented.