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ORDERING CONDITIONAL DISTRIBUTIONS OF GENERALIZED ORDER STATISTICS

Published online by Cambridge University Press:  08 August 2007

Taizhong Hu ,
Wei Jin  and
Baha-Eldin Khaledi
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; wjin@ustc.edu
Wei Jin
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; wjin@ustc.edu
Baha-Eldin Khaledi
Affiliation:
Department of Statistics Faculty of Mathematical Sciences Shahied Beheshti University Tehran, Iran E-mail: bkhaledi@hotmail.com
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Abstract

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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 establish the usual stochastic and the likelihood ratio orderings of conditional distributions of generalized order statistics from one sample or two samples, strengthening and generalizing the main results in Khaledi and Shaked [15], and Li and Zhao [17]. Some applications of the main results are also given.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 21 , Issue 3 , July 2007 , pp. 401 - 417
Copyright
2007 Cambridge University Press