A New Generalization of the Truncated Gumbel Distributionwith Quantile Regression and Applications

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dc.contributor.authorGómez, Héctor J.
dc.contributor.authorSantoro, Karol I.
dc.contributor.authorAyma, Diego
dc.contributor.authorCortés, Isaac E.
dc.contributor.authorMagalhães, Tiago M.
dc.date.accessioned2026-03-23T13:51:33Z
dc.date.available2026-03-23T13:51:33Z
dc.date.issued2024
dc.description.abstractIn this article, we introduce a new model with positive support. This model is an extension of the truncated Gumbel distribution, where a shape parameter is incorporated that provides greater flexibility to the new model. The model is parameterized in terms of the p-thquantile of the distribution to perform quantile regression in this model. An extensive simulation study demonstrates the good performance of the maximum likelihood estimators in finite samples. Finally, two applications to real datasets related to the level of beta-carotene and body mass index are presented.
dc.identifier.doi10.3390/math12111762
dc.identifier.issn2227-7390
dc.identifier.urihttps://repositorioabierto.uantof.cl/handle/uantof/671
dc.language.isoen
dc.publisherMDPI
dc.rightsAttribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.sourceMathematics
dc.subjectGumbel distribution
dc.subjectmaximum likelihood estimators
dc.subjectquantile regression
dc.subjecttruncated distribution
dc.titleA New Generalization of the Truncated Gumbel Distributionwith Quantile Regression and Applications
dc.typeArticle
oaire.citation.issue11
oaire.citation.volume12
organization.identifier.rorhttps://ror.org/04eyc6d95
organization.legalNameUniversidad de Antofagasta
uantof.identificator.departmentDepartamento de Estadística y Ciencia de Datos
uantof.identificator.facultyFacultad de Ciencias Básicas
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