Modified Unit-Half-Normal Distribution with Applications

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datacite.alternateIdentifier.citationMATHEMATICS,Vol.12,2024
datacite.alternateIdentifier.doi10.3390/math12010136
datacite.creatorAlvarez, Paulina I.
datacite.creatorVarela, Hector
datacite.creatorCortes, Isaac E.
datacite.creatorVenegas, Osvaldo
datacite.creatorGomez, Hector W.
datacite.date2024
datacite.subject.englishhalf-normal distribution
datacite.subject.englishproportions data
datacite.subject.englishmaximum likelihood estimation
datacite.titleModified Unit-Half-Normal Distribution with Applications
dc.date.accessioned2024-05-27T18:27:49Z
dc.date.available2024-05-27T18:27:49Z
dc.description.abstractIn this article, we introduce a new continuous distribution based on the unit interval. This distribution is generated from a transformation of a random variable with half-normal distribution. We study its basic properties, percentiles, moments and order statistics. Maximum likelihood estimation is applied, and we present a simulation study to observe the behavior of the maximum likelihood estimators. We examine two applications to real proportions datasets, where the new distribution is shown to provide a better fit than other distributions defined in the unit interval.
dc.identifier.urihttps://repositoriodigital.uct.cl/handle/10925/5829
dc.language.isoen
dc.publisherMDPI
dc.sourceMATHEMATICS
oaire.resourceTypeWOS
oaire.resourceType.enArticle
uct.indizacionSCI
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