On usual multivariate stochastic ordering of order statistics from heterogeneous beta variables

被引：13

作者：

Balakrishnan, Narayanaswamy ^{[1
,3
]}

Barmalzan, Ghobad ^{[2
]}

Haidari, Abedin ^{[2
]}

机构：

[1] McMaster Univ, Dept Math & Stat, Hamilton, ON, Canada

[2] Zabol Univ, Dept Stat, Zabol, Sistan & Baluch, Iran

[3] King Abdulaziz Univ, Dept Stat, Jeddah 21413, Saudi Arabia

来源：

JOURNAL OF MULTIVARIATE ANALYSIS | 2014年 / 127卷

关键词：

Usual multivariate stochastic order; Order statistics; Proportional reversed hazard rates model; Beta distribution; Exponentiated Weibull distribution; EXPONENTIATED WEIBULL FAMILY;

D O I：

10.1016/j.jmva.2014.02.008

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-i similar to eta(alpha(i), 1) and Y, similar to eta(gamma(i,) 1), i = 1, 2, be all independent. We show that (alpha(1) alpha(2)) >- (gamma(1) gamma(z)) implies (Y-1:2, Y-2:2) >=(st) (X-1:2, X-2:2). We then extend this result to the general case of the proportional reversed hazard rates (PRHR) model. (C) 2014 Elsevier Inc. All rig similar to hts reserved.

引用

页码：147 / 150

页数：4

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