Statistical Modelling and Inference for Component Failure times under Preventive Maintenance and Independent Censoring

Consider the competing risks situation for a component which may be subject to either a failure or a preventive maintenance action, where the latter will prevent the failure. It is then reasonable to expect a dependence between the failure mechanism and the PM regime. The chapter reconsiders the so called repair alert model which is constructed for handling such cases. A main ingredient here is the repair alert function which characterizes the “alertness” of the maintenance crew. The main emphasis of the chapter is on statistical inference for the model, based on possibly right censored data. Both nonparametric and parametric inference is studied. The methods are applied to two different data sets.