On renewal increasing mean residual life distributions: An age replacement model with hypothesis testing application

被引：5
|
作者：
Sepehrifar, Mohammad B. [1 ]
Khorshidian, Kavoos [2 ]
Jamshidian, Ahmad R. [2 ,3 ]
机构：
[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39759 USA
[2] Shiraz Univ, Dept Stat, Shiraz 71454, Iran
[3] Sheikh Bahaee Univ, Dept Math & Comp, Esfahan 8143153784, Iran
来源：
STATISTICS & PROBABILITY LETTERS | 2015年 / 96卷
关键词：
Poisson Shock model; Increasing mean residual life (IMRL); Exponential distribution; Moment inequalities; Estimates of power function;
D O I：
10.1016/j.spl.2014.09.009
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：
We study the life distribution of an operating device through the notion of mean residual life. The device is experiencing a random number of shocks governed by a homogeneous Poisson process, and a new U-statistic test procedure is introduced to test the hypothesis of that the life is exponentially distributed against the alternative that the life distribution is the life distribution has renewal increasing mean residual property. Published by Elsevier B.V.
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页码：117 / 122
页数：6
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