The Exponentiated Kumaraswamy InverseWeibull Distribution with Application in Survival Analysis

Abstract

In this paper, a new distribution called the exponentiated Kumaraswamy inverse Weibull is proposed. This distribution includes as special cases the inverse exponential, inverse Weibull, inverse Rayleigh and exponentiated inverse Weibull distributions. We study the main properties of this distribution, with special emphasis on its moments and some characteristics related to reliability studies. We also discuss parameter estimation considering the methods of moments and maximum likelihood. An application reveals that the model proposed can be very useful in fitting real data