The Topp Leone-G Power Series Class of Distributions with Applications

被引：5
|
作者：
Makubate, Boikanyo [1 ]
Rannona, Kethamile [1 ]
Oluyede, Broderick [1 ]
Chipepa, Fastel [1 ]
机构：
[1] Botswana Int Univ Sci & Technol, Dept Math & Stat Sci, Palapye, Botswana
来源：
PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH | 2021年 / 17卷 / 04期
关键词：
Topp-Leone-G Distribution; Power Series Distribution; Maximum Likelihood Estimation; FAMILY;
D O I：
10.18187/pjsor.v17i4.3636
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 present a new class of distributions called the Topp-Leone-G Power Series (TL-GPS) class of distributions. This model is obtained by compounding the Topp-Leone-G distribution with the power series distribution. Statistical properties of the TL-GPS class of distributions are obtained. Maximum likelihood estimates for the proposed model were obtained. A simulation study is carried out for the special case of Topp-Leone Log-Logistic Poisson distribution to assess the performance of the maximum likelihood estimates. Finally, we apply Topp-Leone-log-logistic Poisson distribution to real data sets to illustrate the usefulness and applicability of the proposed class of distributions.
引用
收藏
页码：827 / 846
页数：20
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