The Gompertz extended generalized exponential distribution: properties and applications

Authors : J. T. EGHWERİDO, Lawrence NZEI, Ikwuoche John DAVID, Obinna Damian ADUBISI

Pages : 739-753

Doi:10.31801/cfsuasmas.602930

View : 9 | Download : 7

Publication Date : 2020-06-30

Article Type : Research Paper

Abstract :In this article,  a new class of distribution in the exponential family of distributions called the Gompertz extended generalized exponential distribution insert ignore into journalissuearticles values(G-EGE); for life time processes is proposed. The mathematical properties of the G-EGE distribution such as the reliability, hazard rate function, reversed hazard, cumulative. odd functions, quantiles function, kurtosis, skewness and order statistics were derived. The parameter estimates of the G-EGE distribution were estimated using the maximum likelihood estimation method. The efficiency and flexibility of the G-EGE distribution were examined using a simulation study and a real life data application. The results revealed that the G-EGE distribution outperformed some of the existing distributions considered in this study.
Keywords : Exponential distribution, Extended generalized exponential distribution