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A Note on the Efficiency Based Reliability Measures for Heterogeneous Populations
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  • A Note on the Efficiency Based Reliability Measures for Heterogeneous Populations
  • A Note on the Efficiency Based Reliability Measures for Heterogeneous Populations
저자명
Cha. Ji-Hwan
간행물명
한국통계학회 논문집
권/호정보
2011년|18권 2호|pp.201-211 (11 pages)
발행정보
한국통계학회
파일정보
정기간행물|ENG|
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이 논문은 한국과학기술정보연구원과 논문 연계를 통해 무료로 제공되는 원문입니다.
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기타언어초록

In many cases, populations in the real world are composed of different subpopulations. Furthermore, in addition to the heterogeneity in the lifetimes of items, there also could be the heterogeneity in the efficiency or performance of items. In this case, the reliability measures should be defined in a different way. In this article, we consider the mixture of stochastically ordered subpopulations. Efficiency based reliability measures are defined when the performance of items in the subpopulations has different levels. Discrete and continuous mixing models are studied. The concept of the association between the lifetime and the performance of items in subpopulations is defined. It is shown that the consideration of efficiency can change the shape of the mixture failure rate dramatically especially when the lifetime and the performance of items in subpopulations are negatively associated. Furthermore, the modelling method proposed in this paper is applied to the case when the stress levels of the operating environment of items are different.