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The Marshall-Olkin-Kumarswamy-G family of distributions

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Abstract:

A new family of distribution is proposed by using Kumaraswamy-G distribution as the base line distribution in the Marshal-Olkin Construction. A number of known distributions are derived as particular cases. Various properties of the proposed family like formulation of the pdf as different mixture of exponentiated baseline distributions, quantile function, moments, and stochastic orderings have been investigated. Asymptotes and shapes also investigated. Shannon and R\'enyi entropies and order statistics are also derived. The parameter estimation by methods of maximum likelihood and method of moment are also presented.

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