The Gamma–Kumaraswamy distribution: An alternative to Gamma distribution. Issue 9 (3rd May 2018)

• Record Type: Journal Article
• Authors: Ghosh, Indranil; Hamedani, G. G.
• Is Part Of: Communications in statistics. Volume 47:Issue 9(2018)
• Page Start: 2056
• Page End: 2072
• Publication Date: 2018-05-03
• Subjects: Characterizations -- Gamma–Kumaraswamy distribution -- Reliability parameter -- Renyi's entropy -- Stochastic ordering.; 60E -- 62F; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2015.1122055
• Languages: English
• ISSNs: 0361-0926

Abstract

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.