Kumaraswamy Distribution Based on Alpha Power Transformation Methods
H. E. Hozaien, G. R. AL Dayian, A. A. EL-Helbawy
Asian Journal of Probability and Statistics · pp. 14–29 · Published 24 Feb 2021
10.9734/ajpas/2021/v11i130257Abstract
In this paper, the alpha power Kumaraswamy distribution, new alpha power transformed Kumaraswamy distribution and new extended alpha power transformed Kumaraswamy distribution are presented. Some statistical properties of the three distributions are derived including quantile function, moments and moment generating function, mean residual life and order statistics. Estimation of the unknown parameters based on maximum likelihood estimation are obtained. A simulation study is carried out. Finally, a real data set is applied.
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