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

页码：139 / 156

页数：18

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