The Weibull-Gamma distribution: Properties and applications

Abstract

A new member of the Weibull-generated (Weibull-G) family of distributions-namely theWeibull-gamma distribution-is proposed. This four-parameter distribution can provide great flexibility in modeling different data distribution shapes. Some special cases of theWeibull-gamma distribution are considered. Several properties of the new distribution are studied. The maximum likelihood method is applied to obtain an estimation of the parameters of the Weibull-gamma distribution. The usefulness of the proposed distribution is examined by means of five applications to real datasets.