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Study of a Stochastic Failure Model in a Random Environment

Part of: Distribution theory - Probability Special processes

Published online by Cambridge University Press:  14 July 2016

Ji Hwan Cha  and
Jie Mi
Ji Hwan Cha*
Affiliation:
Pukyong National University
Jie Mi*
Affiliation:
Florida International University
*
∗ Postal address: Division of Mathematical Sciences, Pukyong National University, Busan, 608-737, Korea. Email address: [email protected]
∗∗ Postal address: Department of Statistics, Florida International University, Miami, FL 33199, USA. Email address: [email protected]
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Abstract

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Most devices (systems) are operated under different environmental conditions. The failure process of a system not only depends on the intrinsic characteristics of the system itself but also on the external environmental conditions under which the system is being operated. In this paper we study a stochastic failure model in a random environment and investigate the effect of the environmental factors on the failure process of the system.

Keywords

Environmental conditionfailure processPoisson shock processbaseline failure rate functioncompound failure rate functionstochastic ordering

MSC classification

Primary: 60E99: None of the above, but in this section
Secondary: 60K10: Applications (reliability, demand theory, etc.)
Type
Research Article
Information
Journal of Applied Probability , Volume 44 , Issue 1 , March 2007 , pp. 151 - 163
Copyright
Copyright © Applied Probability Trust 2007