Stochastic comparisons of random minima and maxima

被引：31
|
作者：
Shaked, M [1 ]
Wong, TT [1 ]
机构：
[1] COMMUNITY COLL SO NEVADA,DEPT MATH,N LAS VEGAS,NV 89030
来源：
JOURNAL OF APPLIED PROBABILITY | 1997年 / 34卷 / 02期
关键词：
hazard rate order; reverse hazard rate order; likelihood ratio order; usual stochastic order; Laplace transform; Laplace transform order; random minima and maxima; reliability theory;
D O I：
10.2307/3215381
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
Let X-1, X-2,... be a sequence of independent random variables and let N be a positive integer-valued random variable which is independent of the X-1. In this paper we obtain some stochastic comparison results involving min{X-1,X-2,...,X-N} and max{X-1,X-2,..., X-N}.
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页码：420 / 425
页数：6
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