Preservation of increasing convex/concave order under the formation of parallel/series system of dependent components

Chen Li, Xiaohu Li

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

This paper investigates sufficient conditions for preservation property of the increasing convex order and the increasing concave order under the taking of maximum and minimum of statistically dependent random variables, respectively. As applications, we develop the preservation of NBUC and NBU(2) aging properties respectively under the parallel and series systems of components with statistically dependent lifetimes. Some copulas are presented as illustrations on statistical dependence structure satisfying the sufficient condition as well.

Original languageEnglish
Pages (from-to)445-464
Number of pages20
JournalMetrika
Volume81
Issue number4
DOIs
StatePublished - 1 May 2018

Keywords

  • Copula
  • Increasing concave order
  • Increasing convex order
  • NBU(2)
  • NBUC
  • Parallel systems
  • Series systems

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