Scale Mixture of Gleser Distribution with an Application to Insurance Data

datacite.alternateIdentifier.citationMATHEMATICS,Vol.12,2024
datacite.alternateIdentifier.doi10.3390/math12091397
datacite.creatorOlmos, Neveka M.
datacite.creatorGomez Deniz, Emilio
datacite.creatorVenegas, Osvaldo
datacite.date2024
datacite.subject.englishGleser distribution
datacite.subject.englishheavy-tailed distribution
datacite.subject.englishmaximum likelihood
datacite.subject.englishscale mixture
datacite.titleScale Mixture of Gleser Distribution with an Application to Insurance Data
dc.date.accessioned2024-05-27T18:27:19Z
dc.date.available2024-05-27T18:27:19Z
dc.description.abstractIn this paper, the scale mixture of the Gleser (SMG) distribution is introduced. This new distribution is the product of a scale mixture between the Gleser (G) distribution and the Beta(a,1) distribution. The SMG distribution is an alternative to distributions with two parameters and a heavy right tail. We study its representation and some basic properties, maximum likelihood inference, and Fisher's information matrix. We present an application to a real dataset in which the SMG distribution shows a better fit than two other known distributions.
dc.identifier.urihttps://repositoriodigital.uct.cl/handle/10925/5721
dc.language.isoen
dc.publisherMDPI
dc.sourceMATHEMATICS
oaire.resourceTypeArticle
uct.indizacionSCI
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