The Gamma–Kumaraswamy distribution: An alternative to Gamma distribution

ABSTRACT

In this article, a new generalization of the Kumaraswamy distribution, namely the Gamma–Kumaraswamy distribution, is defined and studied. Various properties of the Gamma–Kumaraswamy are obtained. The structural analysis of the distribution in this article includes limiting behavior, mode, quantiles, moments, skewness, kurtosis, Shannon’s entropy, and order statistics. The method of maximum likelihood estimation is proposed for estimating the model parameters. For illustrative purposes, two real datasets are analyzed as application of the Gamma–Kumaraswamy distribution.

KEYWORDS:

• Characterizations
• Gamma–Kumaraswamy distribution
• Reliability parameter
• Renyi’s entropy
• Stochastic ordering.

MATHEMATICS SUBJECT CLASSIFICATION:

• 60E
• 62F

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Correction to: Ghosh, I.K., & Hamedani, G.G. (2018). The Gamma–Kumaraswamy distribution: an alternative to Gamma distribution. Communications in Statistics-Theory and Methods, 47, 2056–2072

Acknowledgments

The authors are very grateful to the referees and the associate editor for their comments and suggestions which significantly improved the quality of the manuscript.