BOUNDS ON RENYI AND SHANNON ENTROPIES FOR FINITE MIXTURES OF MULTIVARIATE SKEW-NORMAL DISTRIBUTIONS: APPLICATION TO SWORDFISH (XIPHIAS GLADIUS LINNAEUS)

JAVIER ESTEBAN CONTRERAS REYES

doi:10.3390/e18110382

Publicación:
BOUNDS ON RENYI AND SHANNON ENTROPIES FOR FINITE MIXTURES OF MULTIVARIATE SKEW-NORMAL DISTRIBUTIONS: APPLICATION TO SWORDFISH (XIPHIAS GLADIUS LINNAEUS)

dc.creator	JAVIER ESTEBAN CONTRERAS REYES
dc.date	2020
dc.date.accessioned	2025-01-10T15:16:09Z
dc.date.available	2025-01-10T15:16:09Z
dc.date.issued	2020
dc.description.abstract	MIXTURE MODELS ARE IN HIGH DEMAND FOR MACHINE-LEARNING ANALYSIS DUE TO THEIR COMPUTATIONAL TRACTABILITY, AND BECAUSE THEY SERVE AS A GOOD APPROXIMATION FOR CONTINUOUS DENSITIES. PREDOMINANTLY, ENTROPY APPLICATIONS HAVE BEEN DEVELOPED IN THE CONTEXT OF A MIXTURE OF NORMAL DENSITIES. IN THIS PAPER, WE CONSIDER A NOVEL CLASS OF SKEW-NORMAL MIXTURE MODELS, WHOSE COMPONENTS CAPTURE SKEWNESS DUE TO THEIR FLEXIBILITY. WE FIND UPPER AND LOWER BOUNDS FOR SHANNON AND RÉNYI ENTROPIES FOR THIS MODEL. USING SUCH A PAIR OF BOUNDS, A CONFIDENCE INTERVAL FOR THE APPROXIMATE ENTROPY VALUE CAN BE CALCULATED. IN ADDITION, AN ASYMPTOTIC EXPRESSION FOR RÉNYI ENTROPY BY STIRLING?S APPROXIMATION IS GIVEN, AND UPPER AND LOWER BOUNDS ARE REPORTED USING MULTINOMIAL COEFFICIENTS AND SOME PROPERTIES AND INEQUALITIES OF LP METRIC SPACES. SIMULATION STUDIES ARE THEN APPLIED TO A SWORDFISH (XIPHIAS GLADIUS LINNAEUS) LENGTH DATASET.
dc.format	application/pdf
dc.identifier.doi	10.3390/e18110382
dc.identifier.issn	1099-4300
dc.identifier.issn	1099-4300
dc.identifier.uri	https://repositorio.ubiobio.cl/handle/123456789/11210
dc.language	spa
dc.publisher	Entropy
dc.relation.uri	10.3390/e18110382
dc.rights	PUBLICADA
dc.title	BOUNDS ON RENYI AND SHANNON ENTROPIES FOR FINITE MIXTURES OF MULTIVARIATE SKEW-NORMAL DISTRIBUTIONS: APPLICATION TO SWORDFISH (XIPHIAS GLADIUS LINNAEUS)
dc.title.alternative	LÍMITES EN LAS ENTROPÍAS DE RÉNYI Y SHANNON PARA MEZCLAS FINITAS DE DISTRIBUCIONES MULTIVARIADAS SESGADAS-NORMALES: APLICACIÓN AL PEZ ESPADA (XIPHIAS GLADIUS LINNAEUS)
dc.type	ARTÍCULO
dspace.entity.type	Publication
ubb.Estado	PUBLICADA
ubb.Otra Reparticion	DEPARTAMENTO DE ESTADISTICA
ubb.Sede	CONCEPCIÓN

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Publicación: BOUNDS ON RENYI AND SHANNON ENTROPIES FOR FINITE MIXTURES OF MULTIVARIATE SKEW-NORMAL DISTRIBUTIONS: APPLICATION TO SWORDFISH (XIPHIAS GLADIUS LINNAEUS)

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Publicación:
BOUNDS ON RENYI AND SHANNON ENTROPIES FOR FINITE MIXTURES OF MULTIVARIATE SKEW-NORMAL DISTRIBUTIONS: APPLICATION TO SWORDFISH (XIPHIAS GLADIUS LINNAEUS)