Preservation of stochastic orders for random minima and maxima, with applications

Xiaohu Li, Ming J. Zuo

Research output: Contribution to journalArticlepeer-review

36 Scopus citations

Abstract

It is shown, in this note, that the right spread order and the increasing convex order are both preserved under the taking of random maxima, and the total time on test transform order and the increasing concave order are preserved under the taking of random minima. Some inequalities and preservation properties in reliability and economics are given as applications.

Original languageEnglish
Pages (from-to)332-344
Number of pages13
JournalNaval Research Logistics
Volume51
Issue number3
DOIs
StatePublished - Apr 2004

Keywords

  • Aging properties
  • Increasing concave order
  • Increasing convex order
  • Lorenz order
  • Parallel system
  • Right spread order
  • Series system
  • Total time on test transform order

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