On the generalized inverse Weibull distribution

Abstract

A new class of continuous distributions based on generalized inverse Weibull has been introduced. As a special case, generalized inverse Weibull - generalized inverse Weibull distribution is proposed. The probability density function, cumulative distribution function, reliability and hazard rate functions are introduced. Furthermore, most important statistical properties of the proposed distribution such as Shannon entropy, relative entropy, stress-strength model have been obtained.