The Topp Leone odd Lindley-G family of distributions : Properties and applications

被引：24

作者：

Reyad, Hesham ^{[1
]}

Alizadeh, Morad ^{[2
]}

Jamal, Farrukh ^{[3
]}

Othman, Soha ^{[4
]}

机构：

[1] Qassim Univ, Coll Business & Econ, Dept Management Informat Syst & Prod Management, Buraydah, Saudi Arabia

[2] Persian Gulf Univ, Fac Sci, Dept Stat, Bushehr, Iran

[3] Govt SA Postgrad Coll, Dept Stat, Dera Nawab Sahib, Pakistan

[4] Cairo Univ, Inst Stat Studies & Res, Dept Appl Stat, Cairo, Egypt

来源：

JOURNAL OF STATISTICS & MANAGEMENT SYSTEMS | 2018年 / 21卷 / 07期

关键词：

Maximum Likelihood; Odd Lindley-G family; Order Statistic; Stress Strength Model; Topp Leone-G family;

D O I：

10.1080/09720510.2018.1495157

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：

We introduce a new class of continuous distributions called the Topp Leone odd Lindley-G family. Some mathematical properties of the new family such as; the raw and incomplete moments, moment generating function, stress strength model, Renyi entropy, probability weighted moments and order statistics are investigated. We discuss the maximum likelihood estimates and the observed information matrix for the model parameters. The potentiality of the new family is illustrated by means of three applications to real data sets.

引用

页码：1273 / 1297

页数：25

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