Stochastic Properties Of p-Spacings Of Generalized Order Statistics

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:
2005

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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 the conditions on the parameters that enable one to establish several stochastic comparisons of general p-spacings for a subclass of generalized order statistics in the likelihood ratio and the hazard rate orders. Preservation properties of the logconvexity and logconcavity of p-spacings are also given.