On some conditional characteristics of hazard rate processes induced by external shocks
- 주제(키워드) Hazard rate process , Nonhomogeneous Poisson process , Shocks , Failure rate
- 등재 SCIE, SCOPUS
- 발행기관 Elsevier
- 발행년도 2014
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000097689
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.orl.2014.05.007
- 저작권 이화여자대학교 논문은 저작권에 의해 보호받습니다.
초록/요약
Stochastic failure models for systems under randomly variable environment (dynamic environment) are often described using hazard rate process. In this paper, we consider hazard rate processes induced by external shocks affecting a system that follow the nonhomogeneous Poisson process. The sample paths of these processes monotonically increase. However, the failure rate of a system can have completely different shapes and follow, e.g., the upside-down bathtub pattern. We describe and study various ‘conditional properties’ of the models that help to analyze and interpret the shape of the failure rate and other relevant characteristics.
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