The Gamma-Weibull-G Family of Distributions with Applications

被引：17

作者：

Oluyede, Broderick O. ^{[1
]}

Pu, Shusen ^{[2
]}

Makubate, Boikanyo ^{[3
]}

Qiu, Yuqi ^{[4
]}

机构：

[1] Georgia Southern Univ GSU, Dept Math Sci, Statesboro, GA 30460 USA

[2] Case Western Reserve Univ, Dept Math & Stat, Cleveland, OH 44106 USA

[3] Botswana Int Univ Sci & Technol BIUST, Dept Math & Stat Sci, Palapye, Botswana

[4] Univ Calif San Diego, Dept Biostat, San Diego, CA 92103 USA

来源：

AUSTRIAN JOURNAL OF STATISTICS | 2018年 / 47卷 / 01期

关键词：

gamma distribution; Weibull-G distribution; maximum likelihood estimation;

D O I：

10.17713/ajs.v47i1.155

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：

Weibull distribution and its extended families has been widely studied in lifetime applications. Based on the Weibull-G family of distributions and the exponentiated Weibull distribution, we study in detail this new class of distributions, namely, Gamma-Weibull-G (GWG) family of distributions. Some special models in the new class are discussed. Statistical properties of the family of distributions, such as expansion of density function, hazard and reverse hazard functions, quantile function, moments, incomplete moments, generating functions, mean deviations, Bonferroni and Lorenz curves and order statistics are presented. We also present Renyi entropy, estimation of parameters by using method of maximum likelihood, asymptotic confidence intervals and applications using real data sets.

引用

页码：45 / 76

页数：32

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