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The Gamma–Kumaraswamy distribution: An alternative to Gamma distribution

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  • Indranil Ghosh
  • G. G. Hamedani

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.

Suggested Citation

  • Indranil Ghosh & G. G. Hamedani, 2018. "The Gamma–Kumaraswamy distribution: An alternative to Gamma distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(9), pages 2056-2072, May.
    • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:9:p:2056-2072
    DOI: 10.1080/03610926.2015.1122055
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