A Modification of the Gompertz Distribution Based on the Class of Extended-Weibull Distributions, By Saeid Tahmasebi

Research

Title	A Modification of the Gompertz Distribution Based on the Class of Extended-Weibull Distributions
Type	Article
Keywords	Extended-Weibull distribution- Gompertz distribution- Quantile function- Regularity conditions
Journal	JOURNAL OF STATISTICAL THEORY AND APPLICATIONS
DOI	https://doi.org/10.2991/jsta.d.201116.001
Researchers	Mohammad Reza Kazemi (First researcher) , Ali Akbar Jafari (Second researcher) , Saeid Tahmasebi (Third researcher)

Abstract

This paper introduces a new four-parameter extension of the generalized Gompertz distributions. This distribution involves some well-known distributions such as extension of generalized exponential, generalized exponential, and generalized Gompertz distributions. In addition, it can have a decreasing, increasing, upside-down bathtub, and bathtub-shaped hazard rate function depending on its parameters. Some mathematical properties of this new distribution, such as moments, quantiles, hazard rate function, and reversible hazard rate function are obtained. In addition, the density function and the moments of the ordered statistics of this new distribution is provided. The parameters of model are estimated using the maximum likelihood method. Also, a real data set was used to illustrate the validity of the proposed distribution