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The Weibull-Gamma Distribution: Properties and Applications

Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Entropy 2019, 21(5), 438; https://doi.org/10.3390/e21050438
Received: 28 March 2019 / Revised: 16 April 2019 / Accepted: 23 April 2019 / Published: 26 April 2019
(This article belongs to the Section Information Theory, Probability and Statistics)
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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. View Full-Text
Keywords: weibull distribution; gamma distribution; transformed-transformer family of distributions; maximum likelihood estimation; simulation study weibull distribution; gamma distribution; transformed-transformer family of distributions; maximum likelihood estimation; simulation study
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Klakattawi, H.S. The Weibull-Gamma Distribution: Properties and Applications. Entropy 2019, 21, 438.

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