Ordering properties of order statistics from random variables of Archimedean copulas with applications

Xiaohu Li, Rui Fang

Research output: Contribution to journalArticlepeer-review

69 Scopus citations

Abstract

Ordering properties on order statistics from heterogeneous observations have been paid lots of attention. This article devotes to investigating the ordering properties on order statistics from statistically dependent observations. We build the likelihood ratio order and the (reversed) hazard rate order of the extremal values and their adjacent order statistics. Also, some applications of our comparison results in TTE model and its dual version, auction theory and k-out-of-. n reliability systems are presented.

Original languageEnglish
Pages (from-to)304-320
Number of pages17
JournalJournal of Multivariate Analysis
Volume133
DOIs
StatePublished - 1 Jan 2015

Keywords

  • Hazard rate order
  • Likelihood ratio order
  • Majorization
  • Proportional hazards

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