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 andstudied. The new family is extending well-known distributions as well as provides great flexibilityto model specific real data and it is very easy in mathematical properties. Four new special modelsare presented. Some mathematical properties of the Kumaraswamy type I half logistic family arestudied. Explicit expressions for the moments, probability weighted, quantile function, meandeviation and order statistics are investigated. Parameter estimates of the family are obtainedbased on maximum likelihood procedure. Two real data sets are employed to show the usefulnessof the new family.