Gumbel-Exponential Distribution: Its Properties and Application.

Victor Mimoh Mazona; Femi Barnabas Adebola; Vincent Odiaka

doi:10.52589/AJMSS-RUNRPJAZ

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Gumbel-Exponential Distribution: Its Properties and Application.

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African Journal of Mathematics and Statistics Studies

Vol. 8Issue 42025pp. 18–32Published 25 September 2025

DOI 10.52589/AJMSS-RUNRPJAZ

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Abstract:

This paper presents a mixture distribution of a new modelling tool,which is termed Gumbel-Exponential (GEXP) distribution. The distribution allows us to capture some real characteristics of data and it is an important tool for understanding the phenomenon. The various statistical properties of this distribution were fully explored and discussed, these include; the mean, variance, moments, mode, reliability function and hazard function.The worth of the mixing distribution has been demonstrated by applying it to real life data.

Keywords:Gumbel Distribution Exponential Distribution Reliability Function Hazard Function Maximum Likelihood Estimation.

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Copyrights

Authors retain copyright in their articles and have unrestricted rights to reuse, republish, archive, share, and distribute their work after publication.
All articles are published open access under the Creative Commons Attribution 4.0 International (CC BY 4.0) licence, which permits use, sharing, adaptation, distribution, and reproduction in any medium or format, including for commercial purposes, provided appropriate credit is given to the original author(s) and source.