The Exponentiated Kumaraswamy Inverse Weibull Distribution with Application in Survival Analysis

Abstract

In this paper, a new distribution called the exponentiated Kumaraswamy inverse Weibull is proposed. This dis- tribution includes as special cases the inverse exponential, inverseWeibull, 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 consider- ing the methods of moments and maximum likelihood. An application reveals that the model proposed can be very useful in fitting real data.

Keywords

• Akaike information criterion; hazard function; Kumaraswamy distribution; maximum likelihood estimation; Weibull distribution; characterizations.