The Gamma-Weibull-G Family of Distributions with Applications

Broderick Oluyede; Shusen Pu; Boikanyo Makubate; Yuqi Qiu

doi:10.17713/ajs.v47i1.155

Authors

Broderick Oluyede Georgia Southern University
Shusen Pu
Boikanyo Makubate
Yuqi Qiu

DOI:

https://doi.org/10.17713/ajs.v47i1.155

Abstract

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-WeibullG family of distributions (GWG). 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 R´enyi entropy, estimation of parameters by using method of maximum likelihood, asymptotic confidence intervals and applications using real data

Author Biography

Broderick Oluyede, Georgia Southern University

Broderick O. Oluyede, Ph.D.Professor and Consulting StatisticianDirector, Statistical Consulting Unit (SCU)Department of Mathematical SciencesGeorgia Southern UniversityStatesboro, GA 30460Telephone: (912) 478 5427Email: [email protected]

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