Generalized Gamma – Generalized Inverse Weibull Distribution

Abstract

In this paper, we introduce a new family of continuous distributions based on generalized gamma. As a special case,

generalized gamma - generalized inverse Weibull distribution is proposed. The probability density function, cumulative distribution

function, reliability function and hazard rate function are introduced. Furthermore, most important statistical properties of generalized

gamma - generalized inverse Weibull distribution such as the mean, variance, coefficient of skewness, coefficient of kurtosis, Shannon

entropy, relative entropy and stress strength are obtained.