2019•EntropyOpen access

The Weibull-Gamma Distribution: Properties and Applications

Hadeel S. Klakattawi

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.

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Key concepts: Weibull distribution, Generalized gamma distribution, Gamma distribution, Exponentiated Weibull distribution, Weibull modulus, Distribution fitting, Inverse-gamma distribution, Distribution (mathematics)