Generalized Gompertz-Generalized Gompertz Distribution

Abstract

In the present paper, we introduce a new generated family of continuous distributions based on generalized Gompertz distribution. Then generalized Gompertz-generalized Gompertz distribution is proposed as a special case of this new family. The probability density, cumulative distribution, reliability and hazard rate functions are introduced. Additionally, the most essential statistical properties of this new distribution such as the mean, variance, coefficient of skewness, coefficient of kurtosis, characteristic function, quantiel, median, Shannon and relative entropies along with stress strength model are obtained.