Percentile Residual Life Orders Articles uri icon

publication date

  • June 2011

start page

  • 235

end page

  • 252


  • 3


  • 27

International Standard Serial Number (ISSN)

  • 1524-1904

Electronic International Standard Serial Number (EISSN)

  • 1526-4025


  • In this paper we study a family of stochastic orders of random variables defined via the comparison of their percentile residual life functions. Some interpretations of these stochastic orders are given, and various properties of them are derived. The relationships to other stochastic orders are also studied. Finally, some applications in reliability theory and finance are described.


  • mean residual life function; hazard rate order; reversed hazard rate order; mixtures; lehmann’s alternative; proportionalhazards; imperfect repair; reliability theory; value at risk; deductible