On stochastic comparisons of residual life time at random time Article

Dewan, I, Khaledi, BE. (2014). On stochastic comparisons of residual life time at random time . STATISTICS & PROBABILITY LETTERS, 88(1), 73-79. 10.1016/j.spl.2014.01.029

cited authors

  • Dewan, I; Khaledi, BE

authors

abstract

  • Let X1, X2, Θ and Θ ' be independent non-negative random variables. The residual life of X i at random time Θ, that is, XiΘ=Xi-Θ{divides}Xi>Θ is considered. Some sufficient conditions which lead to the likelihood ratio ordering, the failure rate ordering, the reverse failure rate ordering and the mean residual life ordering between X1Θ and X2Θ are obtained and an application in queuing theory is explained. A set of conditions which lead to the same stochastic orderings between X1Θ and X1Θ' are also derived. © 2014.

publication date

  • May 1, 2014

published in

Digital Object Identifier (DOI)

start page

  • 73

end page

  • 79

volume

  • 88

issue

  • 1