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.
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Acknowledgements The authors thank the referee for helpful comments, suggestions and a careful reading of this paper, which have improved the presentation of this paper considerably. The work of the first author was supported by the Korea Science and Engineering Foundation (KOSEF) grant funded by the Korea government(MOST) (No. R01-2008-000-10957-0).
- Compound failure rate function
- Failure process
- Poisson shock process
- Randomly variable environment