Kumaraswamy Exponentiated Inverse Rayleigh Distribution

Abstract

A four parameter Kumaraswamy Exponentiated Inverse Rayleigh distribution (KEIR) introduced in this study. Studied some properties of this model, including survival and hazard function, mean, moment generating function, incomplete moments, quintiles and renyi entropy. Fit the proposed distribution to a real data set using the maximum likelihood estimation method to illustrate its potential and flexibility.

Keywords: Kumaraswamy; Inverse Rayleigh; Moments; Entropy; Maximum Likelihood, Order statistics