The Kumaraswamy-Half-Cauchy distribution: properties and applications

Abstract

In this article, based on the half-Cauchy distribution, we propose a new distribution called Kumaraswamy- Half-Cauchy distribution. Various explicit expressions for it’s moments, generating and quantile functions, mean deviations, reliability parameter, density function of the order statistics and their moments are provided. We consider the method of maximum likelihood to estimate the model parameters. For illustrative purposes, a real life data set is considered as an application of our new distribution.

Keywords

• Half-Cauchy distribution
• Kumaraswamy-Half-Cauchy distribution; Rennyi’s entropy; Order statistics