Aging and ordering properties of multivariate lifetimes with Archimedean dependence structures

Chen Li, Xiaohu Li

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

This paper further studies monotone aging properties of the multivariate random lifetime. We revise the sufficient condition for the negative monotone aging property in terms of the multivariate usual stochastic order in Theorem 3.3 of Rezapour et al. (2013) and derive the condition sufficient to the multivariate monotone aging properties in terms of the upper orthant order. Also we study the upper orthant order of multivariate residual lifetimes and inactivity times from populations sharing a common Archimedean survival copula and Archimedean survival copula, respectively. Two simple applications in multivariate stress-strength and frailty models are presented as well.

Original languageEnglish
Pages (from-to)874-891
Number of pages18
JournalCommunications in Statistics - Theory and Methods
Volume46
Issue number2
DOIs
StatePublished - 17 Jan 2017

Keywords

  • Conditionally increasing in sequence
  • IFR
  • inactivity time
  • residual lifetime
  • upper orthant order

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