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In this paper, new distribution so called the Kumaraswamy -Kumaraswamy (KW-KW) distribution, as a Special model from the class of Kumaraswamy Generalized (KW-G) distributions, is introduced. the probability density function (pdf), the cumulative distribution function (cdf), moments, quantiles, the median, the mode, the mean deviation, the entropy, order statistics, L-moments and parameters estimation based on maximum likelihood are obtained. A numerical illustration is used to studying the properties of the parameters.

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A new family of distributions called the Kumaraswamy type I half logistic is introduced and studied. The new family is extending well-known distributions as well as provides great flexibility to model specific real data and it is very easy in mathematical properties. Four new special models are presented. Some mathematical properties of the Kumaraswamy type I half logistic family are studied. Explicit expressions for the moments, probability weighted, quantile function, mean deviation and order statistics are investigated. Parameter estimates of the family are obtained based on maximum likelihood procedure. Two real data sets are employed to show the usefulness of the new family.

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