The Gompertz extended generalized exponential distribution: properties and applications

Year 2020, Volume: 69 Issue: 1, 739 - 753, 30.06.2020

J. T. Eghwerido , Lawrence Nzeı , Ikwuoche John Davıd Obinna Damian Adubısı

https://doi.org/10.31801/cfsuasmas.602930

Cited By: 10

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

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