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STOCHASTIC PROPERTIES OF p-SPACINGS OF GENERALIZED ORDER STATISTICS

Published online by Cambridge University Press:  23 March 2005

Taizhong Hu  and
Weiwei Zhuang
Taizhong Hu
Affiliation:
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
Weiwei Zhuang
Affiliation:
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
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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.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 19 , Issue 2 , April 2005 , pp. 257 - 276
Copyright
© 2005 Cambridge University Press

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