The Transmuted Weibull Lomax Distribution: Properties and Application

被引：40

作者：

Afify, Ahmed Z. ^{[1
]}

Nofal, Zohdy M. ^{[1
]}

Yousof, Haitham M. ^{[1
]}

El Gebaly, Yehia M. ^{[1
]}

Butt, Nadeem Shafique ^{[2
]}

机构：

[1] Benha Univ, Dept Stat Math & Insurance, Banha, Egypt

[2] Rabigh King Abdul Aziz Univ, Dept Family & Community Med, Jeddah, Saudi Arabia

来源：

PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH | 2015年 / 11卷 / 01期

关键词：

Weibull Lomax; Probability Weighted Moments; Entropy; Order Statistics; Maximum Likelihood;

D O I：

10.18187/pjsor.v11i1.956

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：

A new five parameter model is proposed and stutied. The new distribution generalizes the Weibull Lomax distribution introduced by Tahir et al. (2015) and is referred to as transmuted Weibull Lomax (TWL) distribution. Various structural properties of the new model including ordinary and incomplete moments, quantiles, generating function, probability weighted moments, Renyi and q-entropies and order statistics are derived. We proposed the method of maximum likelihood for estimating the model parameters. The usefulness of the new model is illustrated through an application to a real data set.

引用

页码：135 / 152

页数：18

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