Alpha Power Odd Generalized Exponential Family of Distributions: Model, Properties and Applications

被引：0
|
作者：
Elbatal, Ibrahim [1 ]
Cakmakyapan, Selen [2 ]
Ozel, Gamze [3 ]
机构：
[1] Imam Mohammad Ibn Saud Islamic Univ, Dept Math & Stat, Riyadh 11432, Saudi Arabia
[2] Istanbul Medeniyet Univ, Dept Stat, TR-34700 Istanbul, Turkey
[3] Hacettepe Univ, Dept Stat, TR-06800 Ankara, Turkey
来源：
GAZI UNIVERSITY JOURNAL OF SCIENCE | 2022年 / 35卷 / 03期
关键词：
Alpha power transformation; Odd generalized exponential family; Moments; Maximum likelihood estimation;
D O I：
10.35378/gujs.868555
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we exhibit a general family of distributions called alpha power odd generalized exponential family of distributions. The new family is very flexible with increasing, decreasing, J, reversed-J, bathtub shapes. Statistical properties of the family such as quantile, expansion of density function, moments, incomplete moments, mean deviation, Bonferroni and Lorenz curves are proposed. The method of maximum likelihood to estimate the model parameters is used. Three applications based on real data sets are the importance and flexibility of the three proposed models.
引用
收藏
页码：1171 / 1188
页数：18
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