The Topp-Leone odd log-logistic family of distributions

被引：82

作者：

Brito, E. ^{[1
]}

Cordeiro, G. M. ^{[2
]}

Yousof, H. M. ^{[3
]}

Alizadeh, M. ^{[4
]}

Silva, G. O. ^{[1
]}

机构：

[1] Univ Fed Bahia, Dept Estat, Salvador, BA, Brazil

[2] Univ Fed Pernambuco, Dept Estat, Recife, PE, Brazil

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

[4] Persian Gulf Univ, Dept Stat, Bushehr, Iran

来源：

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION | 2017年 / 87卷 / 15期

关键词：

Maximum likelihood; odd log-logistic-G family; regression model; Topp-Leone distribution; WEIBULL REGRESSION-MODEL; J-SHAPED DISTRIBUTIONS; MOMENTS;

D O I：

10.1080/00949655.2017.1351972

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We introduce a new class of continuous distributions named the Topp-Leone odd log-logistic family, which extends the one-parameter distribution pioneered by Topp and Leone [A family of J-shaped frequency functions. J Amer Statist Assoc. 1955;50:209-219]. We study some of its mathematical properties and describe two special cases. Further, we propose a regression model based on the new Topp-Leone odd log-logistic Weibull distribution. The usefulness and flexibility of the proposed family are illustrated by means of three real data sets.

引用

页码：3040 / 3058

页数：19

共 30 条

[11] A new family of generalized distributions [J].