Some Inequalities for Distributions with Monotone Hazard Rate

被引:0
|
作者
Ushakov, Nikolai [1 ]
Ushakov, Vladimir [2 ]
机构
[1] Norwegian Univ Sci & Technol, Dept Math Sci, N-7491 Trondheim, Norway
[2] Moscow MV Lomonosov State Univ, Dept Math Stat, Inst Informat Problems, FRC CSC RAS, Moscow 119992, Russia
关键词
Moment inequalities; monotone hazard rate; extreme statistics;
D O I
10.1109/SMRLO.2016.56
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Extreme statistics naturally arise in many problems of reliability and survival analysis. In this paper, we obtain several inequalities for the expectation of extreme statistics of a random sample drawn from a distribution with monotone hazard rate. Such distributions are important in many applications and are of special interest. The inequalities are sharp and can be used, in particular, in some characterization problems.
引用
收藏
页码:300 / 302
页数:3
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