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.authorGómez, Héctor W.
dc.date.accessioned2024-04-22T23:09:05Z
dc.date.available2024-04-22T23:09:05Z
dc.date.issued2020
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.description.sponsorshipSEMILLERO UA-2020; Vicerrectoría de Investigación y Postgrado de la Universidad Católica de Temuco, Projecto interno FEQUIP 2019-INRN-03
dc.identifier.doi10.3390/MATH8050703
dc.identifier.issn2227-7390
dc.identifier.urihttps://repositorioabierto.uantof.cl/handle/uantof/377
dc.language.isoen
dc.publisherMDPI
dc.rightsAttribution 4.0 International
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.sourceMathematics
dc.subjectbimodal
dc.subjectsimulation
dc.subjectskew-normaldistribution
dc.subjectstochasticrepresentation
dc.titleOn properties of the bimodal skew-normal distribution and an application
dc.typeArticle
oaire.citation.issue703
oaire.citation.volume8
organization.identifier.rorhttps://ror.org/04eyc6d95
organization.legalNameUniversidad de Antofagasta
uantof.identificator.departmentDepartamento de Matemáticas
uantof.identificator.facultyFacultad de Ciencias Básicas
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