Modified Unit-Half-Normal Distribution with Applications

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dc.contributor.authorPaulina I. Alvarez
dc.contributor.authorHéctor Varela
dc.contributor.authorIsaac E. Cortés
dc.contributor.authorOsvaldo Venegas
dc.contributor.authorHéctor W. Gómez
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.issn22277390
dc.identifier.urihttps://repositorioabierto.uantof.cl/handle/uantof/668
dc.language.isoen
dc.rightsAttribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.sourceMathematics
dc.titleModified Unit-Half-Normal Distribution with Applications
dc.typeArticle
oaire.citation.volume12
organization.identifier.rorUniversidad de Antofagasta
uantof.identificator.departmentDepartamento de Estadística y Ciencia de Datos
uantof.identificator.facultyFacultad de Ciencias Básicas
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