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

[1]

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

[2]

Afify A.Z., 2016, Pak. J. Stat., V32, P139

[3]

Alizadeh M., 2015, Journal of Statistical Distributions and Applications, V2, P1, DOI DOI 10.1186/s40488-015-0027-7

[4]

Alizadeh M., 2015, Journal of the Egyptian Mathematical Society, V23, P546, DOI [10.1016/j.joems.2014.12.002, DOI 10.1016/J.JOEMS.2014.12.002]

[5]

[Anonymous], 2013, R LANG ENV STAT COMP

[6]

[Anonymous], 2003, STAT MODEL METHODS L

[7]

[Anonymous], 2013, Data Sci. J., DOI 10.6339/JDS.2013.11(1).1086

[8]

AZZALINI A, 1990, J R STAT SOC C-APPL, V39, P357

[9] The Lomax generator of distributions: Properties, minification process and regression model [J].

Cordeiro, Gauss M. ;

Ortega, Edwin M. M. ;

Popovic, Bozidar V. ;

Pescim, Rodrigo R. .

APPLIED MATHEMATICS AND COMPUTATION, 2014, 247 :465-486

[10] The McDonald Weibull model [J].

Cordeiro, Gauss M. ;

Hashimoto, Elizabeth M. ;

Ortega, Edwin M. M. .

STATISTICS, 2014, 48 (02) :256-278

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