- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 69 Issue: 1
- The Gompertz extended generalized exponential distribution: properties and applications
The Gompertz extended generalized exponential distribution: properties and applications
Authors : J. T. Eghwerido, Lawrence Nzei, Ikwuoche John David, Obinna Damian Adubisi
Pages : 739-753
Doi:10.31801/cfsuasmas.602930
View : 6 | Download : 4
Publication Date : 2020-06-30
Article Type : Research
Abstract :In this article, a new class of distribution in the exponential family of distributions called the Gompertz extended generalized exponential distribution (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