Likelihood ratio ordering of order statistics

被引：4
|
作者：
Ma, CS [1 ]
机构：
[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia
来源：
JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 1998年 / 70卷 / 02期
关键词：
hazard rate ordering; k-out-of-n system; likelihood ratio ordering; order statistics; stochastic ordering;
D O I：
10.1016/S0378-3758(97)00189-4
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：
This paper provides an improvement on the work of Bapat and Kochar (1994, Linear Algebra Appl., 199, 281-291) and strengthens the literature on the likelihood ratio ordering of order statistics. For independent (but possibly nonidentically distributed) absolutely continuous random variables X-1,...,X-n, it is shown under some weak conditions that X1:n less than or equal to (1r) ... less than or equal to (1r) Xn:n where less than or equal to (1r) stands for the likelihood ratio ordering and Xk:n represents the kth-order statistic. (C) 1998 Elsevier Science B.V. All rights reserved.
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页码：255 / 261
页数：7
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