Nonstationary shock models

M. S. A-Hameed and F. Proschan

Stochastic Processes and their Applications, 1973, vol. 1, issue 4, 383-404

Abstract: This paper extends results obtained by Esary, Marshall and Proschan [10]. Life distribution properties of a device subject to shocks governed by a nonhomogeneous Poisson process are related to corresponding properties of the probability of failing after experiencing a given number of shocks. Physically motivated models are analyzed in which shocks cause damage to a set of components, the damages accumulate additively, and when the accumulated damage exceeds a critical threshold (possibly random) for any of the components, the device fails. Bounds are obtained on the moments of the life length of the device.

Keywords: shock; models; nonhomogenous; Poisson; process; total; positivity; increasing; failure; fate; new; better; than; used; reliability; survival; probability (search for similar items in EconPapers)
Date: 1973
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Citations: View citations in EconPapers (29)

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