The Weibull-Gamma Distribution: Properties and Applications

Abstract

A new member of the Weibull-generated (Weibull-G) family of distributions—namely the Weibull-gamma distribution—is proposed. This four-parameter distribution can provide great flexibility in modeling different data distribution shapes. Some special cases of the Weibull-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.

Keywords

• weibull distribution
• gamma distribution
• transformed-transformer family of distributions
• maximum likelihood estimation
• simulation study