Stochastic Orderings Between p-Spacings Of Generalized Order Statistics From Two Samples

  • Authors:

  • Taizhong Hu;Weiwei Zhuang

  • Affiliations:

  • Department of Statistics and Finance, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China, E-mail: thu@ustc.edu.cn/ weizh@mail.ustc.edu.cn;Department of Statistics and Finance, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China, E-mail: thu@ustc.edu.cn/ weizh@mail.ustc.edu.cn

  • Venue:
  • Probability in the Engineering and Informational Sciences
  • Year:
  • 2006

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Abstract

The concept of generalized order statistics was introduced as a unified approach to a variety of models of ordered random variables. The purpose of this article is to investigate conditions on the distributions and the parameters on which the generalized order statistics are based to establish the likelihood ratio ordering of general p-spacings and the hazard rate and the dispersive orderings of (normalizing) simple spacings from two samples. We thus strengthen and complement some results in Franco, Ruiz, and Ruiz [7] and Belzunce, Mercader, and Ruiz [5]. This article is a continuation of Hu and Zhuang [10].