On comparisons of population and subpopulations in frailty models

Gaofeng Da, Weiyong Ding, Xiaohu Li

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

This paper studies stochastic comparisons between a population and subpopulations in both multiplicative and additive frailty models. The comparisons between a population and its baseline in stochastic ordering are conducted as a special case. We build equivalent characterizations of some common stochastic orders between a population and a subpopulation, in terms of the frailty of the subpopulation and the first two moments of frailty variable. Some examples and applications are discussed as well.

Original languageEnglish
Pages (from-to)3698-3711
Number of pages14
JournalCommunications in Statistics - Theory and Methods
Volume49
Issue number15
DOIs
StatePublished - 2 Aug 2020

Keywords

  • 60K10
  • Primary 90B25
  • Secondary 60E15
  • Stochastic order
  • additive frailty
  • mixture
  • proportional hazard rates
  • reverse hazard rate

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