The Nadarajah Haghighi Topp Leone-G Family of Distributions with Mathematical Properties and Applications

被引：0

作者：

Reyad, Hesham ^{[1
]}

Selim, Mahmoud Ali ^{[2
,3
]}

Othman, Soha ^{[4
]}

机构：

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

[2] King Khalid Univ, Community Coll, Abha, Saudi Arabia

[3] Al Azhar Univ, Fac Commerce, Cairo, Egypt

[4] Cairo Univ, Dept Appl Stat, Cairo, Egypt

来源：

PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH | 2019年 / 15卷 / 04期

关键词：

Entropies; Nadarajah Haghighi distribution; Maximum Likelihood; Probability Weighted Moments; Stress Strength Model; T-X Family; LINDLEY-G FAMILY;

D O I：

暂无

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：

Based on the Nadarajah Haghighi distribution and the Topp Leone-G family in view of the T-X family, we introduce a new generator of continuous distributions with three extra parameters called the Nadarajah Haghighi Topp Leone-G family. Three sub-models of the new class are discussed. Main mathematical properties of the new family are investigated such as; quantile function, raw and incomplete moments, Bonferroni and Lorenz curves, moment and probability generating functions, stress strength model, Shanon and Renyi entropies, order statistics and probability weighted moments. The model parameters of the new family is estimated by using the method of maximum likelihood and the observed information matrix is also obtained. We introduce two real applications to show the importance of the new family.

引用

页码：849 / 866

页数：18

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