Academic Journal

The Transformed MG-Extended Exponential Distribution: Properties and Applications

التفاصيل البيبلوغرافية
العنوان: The Transformed MG-Extended Exponential Distribution: Properties and Applications
المؤلفون: Addisalem Assaye Menberu, Ayele Taye Goshu
المصدر: Journal of Statistical Theory and Applications (JSTA), Vol 23, Iss 3, Pp 175-205 (2024)
بيانات النشر: Springer, 2024.
سنة النشر: 2024
المجموعة: LCC:Probabilities. Mathematical statistics
مصطلحات موضوعية: Exponential distribution, Inverse transform sampling, Maximum likelihood estimates, Monte Carlo simulation, Rejection sampling, Probabilities. Mathematical statistics, QA273-280
الوصف: Abstract Our 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.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2214-1766
Relation: https://doaj.org/toc/2214-1766
DOI: 10.1007/s44199-024-00078-8
URL الوصول: https://doaj.org/article/badabfe3a58d4e8d9ae71559d924ebae
رقم الانضمام: edsdoj.badabfe3a58d4e8d9ae71559d924ebae
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:22141766
DOI:10.1007/s44199-024-00078-8