On extremes of bivariate residual lifetimes from generalized Marshall–Olkin and time transformed exponential models

Yinping You, Xiaohu Li, Narayanaswamy Balakrishnan

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We study here extremes of residuals of the bivariate lifetime and the residual of extremes of the two lifetimes. In the case of generalized Marshall–Olkin model and the total time transformed exponential model, we first present some sufficient conditions for the extremes of residuals to be stochastically larger than the residual of the corresponding extremes, and then investigate the stochastic order of the residual of extremes of the two lifetimes based on the majorization of the age vector of the residuals.

Original languageEnglish
Pages (from-to)1041-1056
Number of pages16
JournalMetrika
Volume77
Issue number8
DOIs
StatePublished - 14 Oct 2014

Keywords

  • GMO model
  • Marjorization
  • RTI
  • Stochastic order
  • TTE model

Fingerprint

Dive into the research topics of 'On extremes of bivariate residual lifetimes from generalized Marshall–Olkin and time transformed exponential models'. Together they form a unique fingerprint.

Cite this