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AN ASYMPTOTIC TEST FOR BIMODALITY USING THE KULLBACK-LEIBLER DIVERGENCE

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dc.creatorJAVIER ESTEBAN CONTRERAS REYES
dc.date2020
dc.date.accessioned2025-01-10T15:09:08Z
dc.date.available2025-01-10T15:09:08Z
dc.date.issued2020
dc.description.abstractDETECTING BIMODALITY OF A FREQUENCY DISTRIBUTION IS OF CONSIDERABLE INTEREST IN SEVERAL FIELDS. CLASSICAL INFERENTIAL METHODS FOR DETECTING BIMODALITY FOCUSED IN THIRD AND FOURTH MOMENTS THROUGH THE KURTOSIS MEASURE. NONPARAMETRIC APPROACH-BASED ASYMPTOTIC TESTS (DIPTEST) FOR COMPARING THE EMPIRICAL DISTRIBUTION FUNCTION WITH A UNIMODAL ONE ARE ALSO AVAILABLE. THE LATTER POINT DRIVES THIS PAPER, BY CONSIDERING A PARAMETRIC APPROACH USING THE BIMODAL SKEW-SYMMETRIC NORMAL DISTRIBUTION. THIS GENERAL CLASS CAPTURES BIMODALITY, ASYMMETRY AND EXCESS OF KURTOSIS IN DATA SETS. THE KULLBACK?LEIBLER DIVERGENCE IS CONSIDERED TO OBTAIN THE STATISTIC?S TEST. SOME COMPARISONS WITH DIPTEST, SIMULATIONS, AND THE STUDY OF SEA SURFACE TEMPERATURE DATA ILLUSTRATE THE USEFULNESS OF PROPOSED METHODOLOGY.
dc.formatapplication/pdf
dc.identifier.doi10.3390/sym12061013
dc.identifier.issn2073-8994
dc.identifier.issn2073-8994
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/10666
dc.languagespa
dc.publisherSymmetry-Basel
dc.relation.uri10.3390/sym12061013
dc.rightsPUBLICADA
dc.titleAN ASYMPTOTIC TEST FOR BIMODALITY USING THE KULLBACK-LEIBLER DIVERGENCE
dc.title.alternativeUNA PRUEBA ASINTÓTICA PARA LA BIMODALIDAD USANDO LA DIVERGENCIA DE KULLBACK-LEIBLER
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE ESTADISTICA
ubb.SedeCONCEPCIÓN
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