Ordering Conditional Distributions Of Generalized Order Statistics

Authors:
Taizhong Hu;Wei Jin;Baha-eldin Khaledi
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/ wjin@ustc.edu;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;Department of Statistics Faculty of Mathematical Sciences Shahied Beheshti University Tehran, Iran E-mail: bkhaledi@hotmail.com
Venue:
Probability in the Engineering and Informational Sciences
Year:
2007

Citing 4
Cited 4

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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 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.