Multivariate reliability modelling based on dependent dynamic shock models
- 주제(키워드) Common shock , Multivariate IFR , Nonhomogeneous Poisson process , Positive upper orthant dependent , Shock models
- 등재 SCIE, SCOPUS
- 발행기관 Elsevier Inc.
- 발행년도 2017
- URI http://www.dcollection.net/handler/ewha/000000146891
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.apm.2017.06.032
초록/요약
In this paper, we stochastically model positively dependent multivariate reliability distributions based on stochastically dependent dynamic shock models. In the first part, we consider a shock model with delayed failures. This shock model will be used to construct a class of absolutely continuous multivariate reliability distributions. Explicit parametric forms for the multivariate reliability functions are suggested. Multivariate ageing properties and dependence structures of the class are discussed as well. In the second part, we obtain two types of absolutely continuous multivariate exponential distributions based on further generalized shock models. © 2017 Elsevier Inc.
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