The Ristic-Balakrishnan-Topp-Leone-Gompertz-G Family of Distributions with Applications

被引：2
|
作者：
Pu, Shusen [1 ]
Moakofi, Thatayaone [2 ]
Oluyede, Broderick [2 ]
机构：
[1] Univ West Florida, Dept Math & Stat, Pensacola, FL 32514 USA
[2] Botswana Int Univ Sci & Technol, Dept Math & Stat Sci, Palapye, Botswana
来源：
JOURNAL OF STATISTICAL THEORY AND APPLICATIONS | 2023年 / 22卷 / 1-2期
关键词：
Generalized distributions; Gamma generator; Topp-Leone distribution; Statistical properties; Maximum likelihood estimation; Goodness-of-fit tests;
D O I：
10.1007/s44199-023-00053-9
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 paper, we introduce the newly generated Ristic-Balakrishnan-Topp-Leone-Gompertz-G family of distributions. Statistical and mathematical properties of this new family including moments, moment generating function, incomplete moments, conditional moments, probability weighted moments, distribution of the order statistics, stochastic ordering, and Renyi entropy are derived. The unknown parameters of the family are inferred using the maximum likelihood estimation technique. A Monte Carlo simulation study is performed to investigate the convergence of the maximum likelihood estimation. Three real-life data sets are used to demonstrate the flexibility and capacity of the new family of distributions.
引用
收藏
页码：116 / 150
页数：35
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