On Properties of the Bimodal Skew-Normal Distribution and an Application

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dc.contributor.authorElal Olivero, David
dc.contributor.authorOlivares Pacheco, Juan F.
dc.contributor.authorVenegas, Osvaldo
dc.contributor.authorBolfarine, Heleno
dc.contributor.authorGomez, Hector W.
dc.date2020
dc.date.accessioned2021-04-30T17:04:09Z
dc.date.available2021-04-30T17:04:09Z
dc.description.abstractThe main object of this paper is to develop an alternative construction for the bimodal skew-normal distribution. The construction is based upon a study of the mixture of skew-normal distributions. We study some basic properties of this family, its stochastic representations and expressions for its moments. Parameters are estimated using the maximum likelihood estimation method. A simulation study is carried out to observe the performance of the maximum likelihood estimators. Finally, we compare the efficiency of the new distribution with other distributions in the literature using a real data set. The study shows that the proposed approach presents satisfactory results.
dc.identifier.citationMATHEMATICS,Vol.8,,2020
dc.identifier.doi10.3390/math8050703
dc.identifier.urihttp://repositoriodigital.uct.cl/handle/10925/3832
dc.language.isoen
dc.publisherMDPI
dc.rights.licenseLicencia Creative Commons CC BY de Acceso Abierto.
dc.sourceMATHEMATICS
dc.subject.englishbimodal
dc.subject.englishsimulation
dc.subject.englishskew-normal distribution
dc.subject.englishstochastic representation
dc.titleOn Properties of the Bimodal Skew-Normal Distribution and an Application
dc.typeArticle
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uct.indizacionSCI
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