The unit-gompertz quantile regression model for the bounded responses

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dc.contributor.authorMazucheli, Josmar
dc.contributor.authorAlves, Bruna
dc.contributor.authorKorkmaz, Mustafa Çağatay
dc.date.accessioned2025-07-17T12:29:47Z
dc.date.available2025-07-17T12:29:47Z
dc.date.issued2023
dc.departmentAÇÜ, Eğitim Fakültesi, Eğitim Bilimleri Bölümü
dc.description.abstractThis paper proposes a regression model for the continuous responses bounded to the unit interval which is based on the unit-Gompertz distribution as an alternative to quantile regression models based on the unit-Birnbaum-Saunders, unit-Weibull, L-Logistic, Kumaraswamy and Johnson SB distributions. Re-parameterizing the unit-Gompertz distribution as a function of its quantile allows us to model the effect of covariates across the entire response distribution, rather than only at the mean. Our proposal sometimes outperforms the other distributions available in the literature. These discoveries are provided by Monte Carlo simulations and one application using a real data set. An R package, including parameter estimation, model checking as well as density, cumulative distribution, quantile and random number generating functions of the unit-Gompertz distribution are developed and can be readily used in applications.
dc.identifier.doi10.1515/ms-2023-0077
dc.identifier.endpage1054
dc.identifier.issn01399918
dc.identifier.issue4
dc.identifier.scopuss2.0-85168110317
dc.identifier.scopusqualityQ2
dc.identifier.startpage1039
dc.identifier.urihttps://hdl.handle.net/11494/5816
dc.identifier.volume73
dc.indekslendigikaynakScopus
dc.institutionauthorKorkmaz, Mustafa Çağatay
dc.language.isoen
dc.publisherDe Gruyter Open Ltd
dc.relation.ispartofMathematica Slovaca
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/embargoedAccess
dc.subjectBounded data
dc.subjectGompertz distribution
dc.subjectLikelihood function
dc.subjectMonte Carlo simulation
dc.subjectParametric quan-tile regression
dc.titleThe unit-gompertz quantile regression model for the bounded responses
dc.typeArticle

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