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Some multivariate distributions derived from a non-fatal shock model

Published online by Cambridge University Press:  14 July 2016

Thomas H. Savits
Thomas H. Savits*
Affiliation:
University of Pittsburgh
*
∗Postal address: Department of Mathematics and Statistics, University of Pittsburgh, Pittsburgh, PA 15260, USA.
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Abstract

A non-homogeneous Poisson shock model has a continuous mean function Λ(t). The kth shock Sk causes simultaneous failure of the components j ∊ J ∊ {1, ···, n} with probability pJ(Sk). If Tj is the lifetime of component j, it is shown that (T1, · ··, Tn) belongs to various multivariate non-parametric life classes depending on the life class of .

Keywords

IFRIFRANBUNON-HOMOGENOUS POISSON PROCESSESIMPERFECT REPAIR
Type
Research Papers
Information
Journal of Applied Probability , Volume 25 , Issue 2 , June 1988 , pp. 383 - 390
Copyright
Copyright © Applied Probability Trust 1988 

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Footnotes

Research supported by ONR Contract N00014–84-K-0084 and AFOSR Grant AFOSR-84–0113.

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