The alpha power extended generalized exponential distribution

被引:6
作者
Eghwerido, Joseph Thomas [1 ]
Nzei, Lawrence Chukwudumebi [2 ]
Zelibe, Samuel Chiabom [3 ]
机构
[1] Fed Univ Petr Resources, Dept Stat, Effurun, Delta State, Nigeria
[2] Univ Benin, Dept Stat, Benin, Edo State, Nigeria
[3] Fed Univ Petr Resources, Dept Math, Effurun, Delta State, Nigeria
关键词
Alpha power; Exponential distribution; Extended exponential distribution; Generating function; RELIABILITY FUNCTION; PARAMETER;
D O I
10.1080/09720510.2021.1872692
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
This article proposes the alpha power extended generalized exponential distribution. This distribution is a unique case of the alpha power family of distribution with a generalization of the exponential distribution. The statistical properties of the proposed distribution such as survival function hazard function cumulative distribution function moment generating function, kurtosis, skewness, order statistics, odd function, cumulative function, reversed hazard, entropy and quantile are established. The parameters estimate of the proposed distribution were obtained by maximum likelihood method. The flexibility of the propose distribution was examined using two real life datasets. The goodness of fit of the proposed model indicates that the new distribution performed better than some existing distributions.
引用
收藏
页码:187 / 210
页数:24
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