A general family of univariate stochastic orders

Xiaohu Li, Moshe Shaked

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

In this paper we introduce and study a family of univariate stochastic orders parameterized by a function h. The usual stochastic order ≤st, and the total time on test transform order ≤ttt, are special cases of this new family. We study some properties of the new family, and we give some applications of it in actuarial science, reliability theory, and statistics.

Original languageEnglish
Pages (from-to)3601-3610
Number of pages10
JournalJournal of Statistical Planning and Inference
Volume137
Issue number11
DOIs
StatePublished - 1 Nov 2007

Keywords

  • Coherent system
  • Dispersive order
  • Distortion function
  • Lehmann's alternatives
  • Location independent riskier order
  • Premium
  • Proportional hazards
  • Reliability function
  • Total time on test transform

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