The power law process, often misleadingly called the Weibull process, is a useful and simple model for describing the failure times of repairable systems. We present elementary properties of the power law process, such as point estimation of unknown parameters, confidence intervals for the parameters, and tests of hypotheses. It is shown that an appropriate transformation of the failure times can lead to a goodness-of-fit test. We also discuss some of the terminology used for repairable systems and contrast this with terminology used for nonrepairable systems.
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Rigdon et al. (1989) studied this question.
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