Hazard rate and reversed hazard rate orders on extremes of heterogeneous and dependent random variables

Chen Li, Xiaohu Li

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

We develop sufficient conditions for the hazard rate order on minimums of sample with Archimedean survival copulas and having proportional hazard rates or scales, and the reversed hazard rate order on maximums of sample with Archimedean copulas and have proportional reversed hazard rates, respectively. Also, we present applications of the hazard rate order on sample minimums in engineering reliability and actuarial risk.

Original languageEnglish
Pages (from-to)104-111
Number of pages8
JournalStatistics and Probability Letters
Volume146
DOIs
StatePublished - Mar 2019

Keywords

  • Archimedean copula
  • Decreasing hazard rate
  • Proportional hazard rates
  • Scale model
  • Weak supermajorization

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