Competing Between Two Groups of Individuals Following Frailty Models

Xiaohu Li, Gaofeng Da, Peng Zhao

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

This paper studies the competing system between two groups of individuals, each of them follows multivariate frailty models. We investigate the distribution of the number of individuals in one group to survive some failure in the other group and how the frailty vector of each group has an impact on the distribution by using stochastic comparisons. Applications in candidates selection by ranking and engineering reliability are presented as well.

Original languageEnglish
Pages (from-to)1033-1051
Number of pages19
JournalMethodology and Computing in Applied Probability
Volume14
Issue number4
DOIs
StatePublished - Dec 2012

Keywords

  • Multivariate frailty model
  • POD dependent
  • Stochastic orders

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