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The most commonly used models for the failure process of a repairable system are nonho-mogeneous Poisson processes, corresponding to minimal repairs, and renewal processes, corresponding to perfect repairs. This paper studies a more general model for recurrent events, called the Trend-Renewal Process (TRP). This is a time transformed renewal process, having(More)
The trend-renewal-process (TRP)is defined to be a time-transformed renewal process , where the time transformation is given by a trend function λ(·) which is similar to the intensity of a nonhomogeneous Poisson process (NHPP). A nonparametric maximum likelihood estimator of the trend function of a TRP is obtained under the often natural condition that λ(·)(More)
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