Modified Unit-Half-Normal Distribution with Applications

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dc.contributor.authorAlvarez, Paulina I.
dc.contributor.authorVarela, Héctor
dc.contributor.authorCortés, Isaac E.
dc.contributor.authorVenegas, Osvaldo
dc.contributor.authorGómez, Héctor W.
dc.date.accessioned2026-03-23T12:52:17Z
dc.date.available2026-03-23T12:52:17Z
dc.date.issued2024
dc.description.abstractIn this article, we introduce a new continuous distribution based on the unit interval. Thisdistribution is generated from a transformation of a random variable with half-normal distribution.We study its basic properties, percentiles, moments and order statistics. Maximum likelihoodestimation is applied, and we present a simulation study to observe the behavior of the maximumlikelihood estimators. We examine two applications to real proportions datasets, where the newdistribution is shown to provide a better fit than other distributions defined in the unit interval.
dc.description.sponsorshipSemillero UA-2023
dc.identifier.doi10.3390/math12010136
dc.identifier.issn2227-7390
dc.identifier.urihttps://repositorioabierto.uantof.cl/handle/uantof/668
dc.language.isoen
dc.publisherMDPI
dc.rightsAttribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.sourceMathematics
dc.subjecthalf-normal distribution
dc.subjectproportions data
dc.subjectmaximum likelihood estimation
dc.titleModified Unit-Half-Normal Distribution with Applications
dc.typeArticle
oaire.citation.issue1
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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