The odd Lomax generator of distributions: Properties, estimation and applications

被引：65

作者：

Cordeiro, Gauss M. ^{[1
]}

Afify, Ahmed Z. ^{[2
]}

Ortega, Edwin M. M. ^{[3
]}

Suzuki, Adriano K. ^{[4
]}

Mead, Mohamed E. ^{[5
,6
]}

机构：

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

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

[3] Univ Sao Paulo, Dept Ciencias Exatas, Sao Paulo, Brazil

[4] Univ Sao Paulo, Dept Matemat Aplicada & Estat, Sao Paulo, Brazil

[5] Zagazig Univ, Dept Stat Math & Insurance, Zagazig, Egypt

[6] Univ Jeddah, Dept Math, Fac Sci & Arts, Khulais, Saudi Arabia

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2019年 / 347卷

关键词：

Generating function; Lomax model; Maximum likelihood; Order statistic; T-X family; FAMILY;

D O I：

10.1016/j.cam.2018.08.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a new family of continuous distributions called the odd Lomax-G class and provide four special models. We derive explicit expressions for the ordinary and incomplete moments, generating function, Renyi entropy, order statistics and probability weighted moments. The maximum likelihood and least squares methods are used to estimate the model parameters. The flexibility of the proposed family is illustrated by means of two applications to real data sets. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：222 / 237

页数：16

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