A mixture model of proportional reversed hazard rate

被引：28
|
作者：
Li, Xiaohu [1 ]
Li, Zhouping [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2008年 / 37卷 / 18期
基金：
中国国家自然科学基金;
关键词：
DRHR; hazard rate order; HNBUE; likelihood ratio order; positively likelihood ratio dependent;
D O I：
10.1080/03610920802050935
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 article investigates properties of mixture model of proportional reversed hazard rate. Firstly, the mixing random variable and the overall population variable are proved to be positively likelihood dependent. Secondly, lower bounds for the distribution function as well as the conditional distribution are established in the case that the mixing variable belongs to certain nonparametric classes. Finally, some stochastic orders on the mixing (baseline) variables are proved to be translated to the corresponding overall population variables.
引用
收藏
页码：2953 / 2963
页数：11
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