On a Stochastic Survival Model for a System Under Randomly Variable Environment

Ji Hwan Cha () and Jie Mi ()
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Ji Hwan Cha: Ewha Womans University
Jie Mi: Florida International University

Methodology and Computing in Applied Probability, 2011, vol. 13, issue 3, 549-561

Abstract: Abstract In many cases, the survival probability of a system depends not only on the intrinsic characteristic of the system itself but also on the randomly variable external environment under which the system is being operated. In this paper we study a stochastic survival model for a system under random shock process which affects the survival of the system in a complicated way. The lifetime distribution of the system is derived, and the effect of environmental factors on the failure process of the system is also investigated.

Keywords: Randomly variable environment; Failure process; Poisson shock process; Compound failure rate function; Primary 60E99; Secondary 60K10 (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (8)

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DOI: 10.1007/s11009-010-9171-1

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