Topp-Leone generated family of distributions: Properties and applications

被引：55
作者：
Rezaei, Sadegh [1 ]
Sadr, Behnam Bahrami [1 ]
Alizadeh, Morad [2 ]
Nadarajah, Saralees [3 ]
机构：
[1] Amirkabir Univ Technol, Dept Stat, Tehran, Iran
[2] Persian Gulf Univ Bushehr, Dept Stat, Bushehr, Iran
[3] Univ Manchester, Sch Math, Manchester, Lancs, England
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2017年 / 46卷 / 06期
关键词：
Generated family; Maximum likelihood; Moment; Order statistic; Quantile function; MOMENTS;
D O I：
10.1080/03610926.2015.1053935
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 introduce a new family of distributions based on a one-parameter distribution exhibiting bathtub-shaped hazard rates. We study the mathematical properties of the family and estimate its parameters by the method of maximum likelihood. Finally, the usefulness of the family is illustrated using a real dataset.
引用
收藏
页码：2893 / 2909
页数：17
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