The Hazard Rate and the Reversed Hazard Rate Orders, with Applications to Order Statistics

被引：0
|
作者：
Asok K. Nanda
Moshe Shaked
机构：
[1] Indian Institute of Technology,Department of Mathematics
[2] University of Arizona,Department of Mathematics
来源：
Annals of the Institute of Statistical Mathematics | 2001年 / 53卷
关键词：
Stochastic orders; -out-of-; systems;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we first point out a simple observation that can be used successfully in order to translate results about the hazard rate order into results about the reversed hazard rate order. Using it, we derive some interesting new results which compare order statistics in the hazard and in the reversed hazard rate orders; as well as in the usual stochastic order. We also simplify proofs of some known results involving the reversed hazard rate order. Finally, a few further applications of the observation are given.
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页码：853 / 864
页数：11
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