On stochastic dependence in residual lifetime and inactivity time with some applications

Chen Li, Xiaohu Li

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

For bivariate random lifetimes, we study the role of stochastic dependence through conducting stochastic comparison on the residual life, inactivity time and some aging behavior of one marginal conditioned by the survival or failure of the other. The main results serve as essential supplement to those related ones of Bassan and Spizzichino (1999) and Longobardi and Pellerey (2019). Applications in frailty, resilience and load-sharing models are presented as well.

Original languageEnglish
Article number109120
JournalStatistics and Probability Letters
Volume177
DOIs
StatePublished - Oct 2021

Keywords

  • Copula
  • DRHR
  • IHR
  • Likelihood ratio order
  • Mean residual life order
  • TP2

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