Recent Developments in Distribution Theory: A Brief Survey and Some New Generalized Classes of distributions

被引：59

作者：

Ahmad, Zubair ^{[1
]}

Hamedani, G. G. ^{[2
]}

Butt, Nadeem Shafique ^{[3
]}

机构：

[1] Yazd Univ, Dept Stat, Yazd, Iran

[2] Marquette Univ, Dept Math Stat & Comp Sci, Milwaukee, WI 53201 USA

[3] King Abdulaziz Univ, Dept Family & Community Med, Jeddah, Saudi Arabia

来源：

PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH | 2019年 / 15卷 / 01期

关键词：

Generalized classes of distributions; Exponentiated family; Marshall Olkin family; Transmuted family; Kumaraswamy family; Alpha power transformation; Zubair-G family; Construction of new families; WEIBULL DISTRIBUTION; GAMMA-DISTRIBUTION; LINDLEY DISTRIBUTION; X FAMILY;

D O I：

10.18187/pjsor.v15i1.2803

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：

The generalization of the classical distributions is an old practice and has been considered as precious as many other practical problems in statistics. These generalizations started with the introduction of the additional location, scale or shape parameters. In the last couple of years, this branch of statistics has received a great deal of attention and quite a few new generalized classes of distributions have been introduced. We present a brief survey of this branch and introduce several new families as well.

引用

页码：87 / 110

页数：24

共 135 条

[1]

Abdul-Moniem I. B., 2012, J MATH COMPUT SCI-JM, V2, P999

[2]

Afify A. Z., 2016, HACETTEPE J MATH STA

[3]

Afify A.Z., 2016, J. Data Sci., V14, P245, DOI [10.6339/JDS.20160414(2).0004, DOI 10.6339/JDS.201604_14(2).0004]

[4]

Afify AZ, 2016, J STAT THEORY APPL, V15, P326, DOI 10.2991/jsta.2016.15.4.2