The Transformed MG-Extended Exponential Distribution: Properties and Applications-Reference-Cited by-同舟云学术

The Transformed MG-Extended Exponential Distribution: Properties and Applications

Published:2024-06-05 Issue: Volume: Page:
ISSN:2214-1766
Container-title:Journal of Statistical Theory and Applications
language:en
Short-container-title:J Stat Theory Appl

Author:

Menberu Addisalem Assaye^ORCID,Goshu Ayele Taye^ORCID

Abstract

AbstractOur research paper introduces a newly developed probability distribution called the transformed MG-extended exponential (TMGEE) distribution. This distribution is derived from the exponential distribution using the modified Frechet approach, but it has a more adaptable hazard function and unique features that we have explained in detail. We conducted simulation studies using two methods: rejection sampling and inverse transform sampling, to produce summaries and show distributional properties. Moreover, we applied the TMGEE distribution to three real datasets from the health area to demonstrate its applicability. We used the maximum likelihood estimation technique to estimate the distribution’s parameters. Our results indicate that the TMGEE distribution provides a better fit for the three sets of data as compared to nine other commonly used probability distributions, including Weibull, exponential, and lognormal distributions.

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s44199-024-00078-8.pdf

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