A new lifetime model with decreasing, increasing, bathtub-shaped, and upside-down bathtub-shaped hazard rate function

被引：5
作者：
Bidram, Hamid [1 ]
Nadarajah, Saralees [2 ]
机构：
[1] Univ Isfahan, Dept Stat, Esfahan, Iran
[2] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England
来源：
STATISTICS | 2016年 / 50卷 / 01期
关键词：
exponential-geometric distribution; hazard rate function; Renyi entropy; stress-strength parameter; RENYI ENTROPY; FAILURE; FAMILY;
D O I：
10.1080/02331888.2015.1006224
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：
A new three-parameter distribution with decreasing, increasing, bathtub-shaped and upside-down bathtub-shaped hazard rate function is proposed. The new distribution encompasses some previously known distributions as special cases. Basic mathematical properties of the new distribution (including the moment-generating function, moments, order statistics properties, Renyi entropy and stress-strength parameter) are derived. Its parameters are estimated by the method of maximum likelihood. An application is illustrated using a real data set.
引用
收藏
页码：139 / 156
页数：18
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