Beta generated Kumaraswamy-G and other new families of distributions

A new generalization of the family of Kumaraswamy-G distribution is proposed by constructing beta generated Kumaraswamy-G distribution. Three recently proposed families namely the Garhy generated family (Garhy et al., 2016), Beta-Dagum distribution and Beta-Singh-Maddala distribution (Domma and Condino, 2016) are seen as particular case of the proposed distribution among others. Useful expansions of the pdf and the cdf of the proposed family is derived and seen as infinite mixtures of the Kumaraswamy-G distribution Moments, moment generating function, quantile power series, random sample generation, density function of order statistics and their expansions, R\'enyi entropies, asymptotes and shapes are also investigated. Two methods of parameter estimation are presented. Finally, some new classes of beta generated families are proposed for future investigations.