The extended gamma distribution with regression model and applications

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dc.authorid0000-0003-3302-0705en_US
dc.contributor.authorAltun, Emrah
dc.contributor.authorKorkmaz, Mustafa Çağatay
dc.contributor.authorEl-Morshedy, Mahmoud
dc.contributor.authorEliwa, M. S.
dc.date.accessioned2021-02-08T08:43:16Z
dc.date.available2021-02-08T08:43:16Z
dc.date.issued2021
dc.departmentAÇÜ, Eğitim Fakültesien_US
dc.description.abstractThis paper introduces a new extension of the gamma distribution, named as a new extended gamma distribution, via mixture representation of xgamma and gamma distributions. The statistical properties of the proposed distribution are derived such as moment generating and characteristic functions, variance, skewness, and kurtosis measures, Lorenz curve, and mean residual life function. The maximum likelihood, parametric bootstrap, method of moments, least squares, and weighted least squares estimation methods are considered to obtain the unknown model parameters. The finite sample performance of estimation methods is discussed via a simulation study. Using the proposed distribution, we propose a new regression model for the right-skewed response variable as an alternative to the gamma regression model. Two real data sets are analyzed to convince the readers for the usefulness of the proposed model.
dc.identifier.citationAltun, E., Korkmaz, M. Ç., El-Morshedy, M., & Eliwa, M. S. (2021). The extended gamma distribution with regression model and applications [J]. AIMS Mathematics, 6(3), 2418-2439.en_US
dc.identifier.doi10.3934/math.2021147
dc.identifier.endpage2439en_US
dc.identifier.issue3en_US
dc.identifier.scopusqualityQ1
dc.identifier.startpage2418en_US
dc.identifier.urihttps://hdl.handle.net/11494/2600
dc.identifier.volume6en_US
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorKorkmaz, Mustafa Çağatay
dc.language.isoenen_US
dc.publisherAmerican Institute of Mathematical Sciencesen_US
dc.relation.ispartofAIMS Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectXgamma distributionen_US
dc.subjectGamma distributionen_US
dc.subjectMaximum likelihooden_US
dc.subjectMethod of momentsen_US
dc.subjectRandomized quantile residualsen_US
dc.subjectBias-correctionen_US
dc.titleThe extended gamma distribution with regression model and applicationsen_US
dc.typeArticle

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