Showing papers by "Steven E. Rigdon published in 1989"
TL;DR: The power law process, often misleadingly called the Weibull process, is a useful and simple model for describing the failure times of repairable systems.
Abstract: 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 par..
115 citations
TL;DR: In this paper, the goodness-of-fit tests for the power law process with intensity function were constructed by making one of two transformations of the event times, i.e., the Kolmogorov-Smirnov, Cramer-von Mises or Anderson-Darling test.
Abstract: Exact goodness-of-fit tests for the power law process, a nonhomogeneous Poisson process with intensity function , can be constructed by making one of two transformations of the event times. The Kolmogorov-Smirnov, Cramer-von Mises or Anderson-Darling test can then be applied to these transformed variables. In this article it is shown that these two transformations lead to the same test statistics in one particular case. The results of a simulation study show that these tests have very low power when the alternative hypothesis is a renewal process. A transformation of these transformed variables, suggested by Durbin, increases the power substantially.
19 citations
TL;DR: In this paper, the authors derived expressions for the mean squared errors for two estimators of the intensity function of the power law process, a nonhomogeneous Poisson process with intensity function (β/θ)( t /θ) β−1.
5 citations