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}.

引用

页码：420 / 425

页数：6

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