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A GENERALIZATION OF THE BIVARIATE GAMMA DISTRIBUTION BASED ON GENERALIZED HYPERGEOMETRIC FUNCTIONS

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dc.creatorCHRISTIAN ELOY CAAMAÑO CARRILLO
dc.date2022
dc.date.accessioned2025-01-10T15:28:53Z
dc.date.available2025-01-10T15:28:53Z
dc.date.issued2022
dc.description.abstractIN THIS PAPER, WE PROVIDE A NEW BIVARIATE DISTRIBUTION OBTAINED FROM A KIBBLE-TYPE BIVARIATE GAMMA DISTRIBUTION. THE STOCHASTIC REPRESENTATION WAS OBTAINED BY THE SUM OF A KIBBLE-TYPE BIVARIATE RANDOM VECTOR AND A BIVARIATE RANDOM VECTOR BUILDED BY TWO INDEPENDENT GAMMA RANDOM VARIABLES. IN ADDITION, THE RESULTING BIVARIATE DENSITY CONSIDERS AN INFINITE SERIES OF PRODUCTS OF TWO CONFLUENT HYPERGEOMETRIC FUNCTIONS. IN PARTICULAR, WE DERIVE THE PROBABILITY AND CUMULATIVE DISTRIBUTION FUNCTIONS, THE MOMENT GENERATION AND CHARACTERISTIC FUNCTIONS, THE HAZARD, BONFERRONI AND LORENZ FUNCTIONS, AND AN APPROXIMATION FOR THE DIFFERENTIAL ENTROPY AND MUTUAL INFORMATION INDEX. NUMERICAL EXAMPLES SHOWED THE BEHAVIOR OF EXACT AND APPROXIMATED EXPRESSIONS.
dc.formatapplication/pdf
dc.identifier.doi10.3390/math10091502
dc.identifier.issn2227-7390
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/12217
dc.languagespa
dc.publisherMATHEMATICS
dc.relation.uri10.3390/math10091502
dc.rightsOPEN ACCESS
dc.subjectMutual information
dc.subjectDifferential entropy
dc.subjectMoment generation function
dc.subjectGeneralized hypergeometric function
dc.subjectGeneralized gamma distribution
dc.titleA GENERALIZATION OF THE BIVARIATE GAMMA DISTRIBUTION BASED ON GENERALIZED HYPERGEOMETRIC FUNCTIONS
dc.title.alternativeUNA GENERALIZACIÓN DE LA DISTRIBUCIÓN GAMMA BIVARIADA BASADA EN FUNCIONES HIPERGEOMÉTRICAS GENERALIZADAS
dc.typeARTÍCULO
dspace.entity.typePublication
oaire.fundingReferenceANID- AGENCIA NACIONAL DE INVESTIGACIÓN Y DESARROLLO (EX CONICYT)
oaire.fundingReferenceANID- AGENCIA NACIONAL DE INVESTIGACIÓN Y DESARROLLO (EX CONICYT)
oaire.fundingReferenceUBB- UNIVERSIDAD DEL BÍO-BÍO
oaire.licenseConditionCC BY 4.0
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE ESTADISTICA
ubb.SedeCONCEPCIÓN
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