Transmuted Linear Exponential Distribution: A New Generalization of the Linear Exponential Distribution

被引：40
|
作者：
Tian, Yuzhu [1 ]
Tian, Maozai [1 ]
Zhu, Qianqian [1 ]
机构：
[1] Renmin Univ China, Ctr Appl Stat, Sch Stat, Beijing, Peoples R China
来源：
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION | 2014年 / 43卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Hazard rate function; Maximum likelihood estimation; Transmuted linear exponential distribution;
D O I：
10.1080/03610918.2013.763978
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：
In this article, a transmuted linear exponential distribution is developed that generalizes the linear exponential distribution with an additional parameter using the quadratic rank transmutation map which was studied by Shaw et al. Some statistical properties of the proposed distribution such as moments, quantiles, and the failure rate function are investigated. The maximum likelihood estimators of unknown parameters are also discussed and a real data analysis is carried out to illustrate the superiority of the proposed distribution.
引用
收藏
页码：2661 / 2677
页数：17
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