Kumaraswamy Type I Half Logistic Family of Distributions with Applications

Abstract

A new family of distributions called the Kumaraswamy type I half logistic is introduced and studied. 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. One real data set is employed to show the usefulness of the new family. 

Keywords

• Half logistic distribution,Order statistics,Maximum likelihood method

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