An Extension of the Epsilon-Skew-Normal Distribution

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dc.contributor.authorArellano Valle, Reinaldo B.
dc.contributor.authorCortes, Milton A.
dc.contributor.authorGomez, Hector W.
dc.date.accessioned2024-01-10T12:37:34Z
dc.date.available2024-01-10T12:37:34Z
dc.date.issued2010
dc.description.abstractThis article is related with the probabilistic and statistical properties of an parametric extension of the so-called epsilon-skew-normal (ESN) distribution introduced by Mudholkar and Hutson (2000), which considers an additional shape parameter in order to increase the flexibility of the ESN distribution. Also, this article concerns likelihood inference about the parameters of the new class. In particular, the information matrix of the maximum likelihood estimators is obtained, showing that it is non singular in the special normal case. Finally, the statistical methods are illustrated with two examples based on real datasets.
dc.description.funderFONDECYT
dc.fechaingreso.objetodigital2024-05-08
dc.format.extent11 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1080/03610920902807903
dc.identifier.eissn1532-415X
dc.identifier.issn0361-0926
dc.identifier.urihttps://doi.org/10.1080/03610920902807903
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/76877
dc.identifier.wosidWOS:000275049600013
dc.information.autorucMatemática;Arellano-Valle R;S/I;58107
dc.issue.numero5
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final922
dc.pagina.inicio912
dc.publisherTAYLOR & FRANCIS INC
dc.revistaCOMMUNICATIONS IN STATISTICS-THEORY AND METHODS
dc.rightsacceso restringido
dc.subjectAsymmetry
dc.subjectBimodality
dc.subjectKurtosis
dc.subjectMaximum likelihood estimation
dc.subjectNon singular information matrix
dc.subjectINFERENCE
dc.subjectMODELS
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleAn Extension of the Epsilon-Skew-Normal Distribution
dc.typeartículo
dc.volumen39
sipa.codpersvinculados58107
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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