Stochastic Comparisons of Used Coherent System and New System of Used Components for Non-Identically Distributed and Dependent Components

Rui Fang, Xiaohu Li

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

For components having dependent and possibly non-identically distributed lifetimes, we study the stochastic comparison between lifetimes of a used coherent system and a similar new system consisting of used components. Sufficient conditions for the usual stochastic order, the hazard rate order and the reversed hazard rate order under the situation when component lifetimes have general distribution are provided. As for proportional hazards component lifetimes, sufficient and necessary conditions guaranteeing several stochastic orders are derived, including the usual stochastic order, the hazard rate order, the reversed hazard rate order, the likelihood ratio order and the relative ageing orderings. Several numerical examples are provided for illustrations.

Original languageEnglish
Title of host publicationProceedings - 2017 IEEE International Conference on Software Quality, Reliability and Security Companion, QRS-C 2017
Pages146-151
Number of pages6
ISBN (Electronic)9781538620724
DOIs
StatePublished - 7 Aug 2017
Event2017 IEEE International Conference on Software Quality, Reliability and Security Companion, QRS-C 2017 - Prague, Czech Republic
Duration: 25 Jul 201729 Jul 2017

Publication series

NameProceedings - 2017 IEEE International Conference on Software Quality, Reliability and Security Companion, QRS-C 2017

Conference

Conference2017 IEEE International Conference on Software Quality, Reliability and Security Companion, QRS-C 2017
Country/TerritoryCzech Republic
CityPrague
Period25/07/1729/07/17

Keywords

  • Coherent system
  • Proportional hazards
  • Residual lifetime
  • Stochastic order
  • Survival copula

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