On a system of nonhomogeneous components sharing a common frailty

Xiaoliang Ling, Peng Zhao, Xiaohu Li

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

The components of a reliability system subjected to a common random environment usually have dependent lifetimes. This paper studies the stochastic properties of such a system with lifetimes of the components following multivariate frailty models and multivariate mixed proportional reversed hazard rate (PRHR) models, respectively. Through doing stochastic comparison, we devote to throwing a new light on how the random environment affects the number of working components of a reliability system and on assessing the performance of a k-out-of-n system.

Original languageEnglish
Pages (from-to)1330-1338
Number of pages9
JournalJournal of Statistical Planning and Inference
Volume142
Issue number6
DOIs
StatePublished - Jun 2012

Keywords

  • K-Out-of-n system
  • Multivariate frailty model
  • Proportional hazard rate
  • Proportional reversed hazard rate
  • Random environment
  • Stochastic order

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