On a cumulative damage process and resulting first passages times

Waltraud Kahle and Heide Wendt

Applied Stochastic Models in Business and Industry, 2004, vol. 20, issue 1, 17-26

Abstract: The reliability of a product is often affected by a damage process. In this paper we consider a shock model where at random times a shock causes a random damage. The cumulative damage process is assumed to be generated by a position‐dependent marking of a doubly stochastic Poisson process. Some characteristics of this process are described. For general and special cases the probability that the damage process does not cross a certain threshold before a time t is calculated. Copyright © 2004 John Wiley & Sons, Ltd.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:wly:apsmbi:v:20:y:2004:i:1:p:17-26

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