Communications in Science and Technology
Vol 6 No 2 (2021)

The gompertz exponential pareto distribution with the properties and applications to bladder cancer and hydrological datasets

Adewunmi Olaniran Adeyemi (University of Lagos, Lagos State, Nigeria)
Eno Emmanuella Akarawak (University of Lagos, Lagos State, Nigeria)
Ismail Adedeji Adeleke (University of Lagos, Lagos State, Nigeria)



Article Info

Publish Date
31 Dec 2021

Abstract

Many existing distributions in literatures does not have the modeling fits capacity to adequately describe the real-life phenomena. The Exponential Pareto (EP) distribution has further gained some generalizations among several authors using different generator techniques with an aim to obtain a new distribution with greater flexibility. This article proposes Gompertz Exponential Pareto (GEP) distribution using the Gompertz generator. Findings from the study revealed some lifetime distributions as special cases and mathematical properties of the distribution investigated including the mean, variance, coefficient of variation, quantile, moment, moment generating function and, order statistics. The distribution can be positively or negatively skewed. It is unimodal with failure rates whose shapes could be reversed J bathtub, constant, decreasing and, increasing and the parameters were estimated using maximum likelihood estimation approach. Applications to two real-life datasets revealed the ability of GEP distribution to provide more flexibilities and better fit to the dataset compared to some previously proposed distributions for the data. The results also revealed that GEP had the superior performance over other generalizations of EP distribution existing in literatures and the performance has further strengthened the usefulness of the Gompertz-generator technique.

Copyrights © 2021






Journal Info

Abbrev

cst

Publisher

Subject

Engineering

Description

Communication in Science and Technology [p-ISSN 2502-9258 | e-ISSN 2502-9266] is an international open access journal devoted to various disciplines including social science, natural science, medicine, technology and engineering. CST publishes research articles, reviews and letters in all areas of ...