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A Bounded Intensity Process for the Reliability of Repairable Equipment

Summary: [This abstract is based on the author's abstract.]
A nonhomogeneous Poisson process is often used in the reliability analysis of complex repairable equipment. A nonhomogeneous Poisson model is proposed for which the failure intensity is an increasing bounded function. The model's characteristics and the physical meaning of its parameters are explored. Maximum likelihood estimates and confidence intervals for the model parameters are provided, as well as a testing procedure for a time trend. Numerical examples illustrate the proposed model and testing procedure.

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