Generalized Bivariate Kummer-Beta Distribution

A new bivariate beta distribution based on the Humbert’s confluent hypergeometric function of the second kind is introduced. Various representations are derived for its product moments, marginal densities, marginal moments, conditional densities and entropies.

Autores:
Nagar, Daya K
Zarrazola, Edwin
Serna-Morales, Jessica
Tipo de recurso:
Fecha de publicación:
2020
Institución:
Universidad EAFIT
Repositorio:
Repositorio EAFIT
Idioma:
eng
OAI Identifier:
oai:repository.eafit.edu.co:10784/25803
Acceso en línea:
http://hdl.handle.net/10784/25803
Palabra clave:
Beta function
beta distribution
entropy
bivariate distribution
gamma function
Kummer-beta distribution
Función beta
distribución beta
entropía
distribuciónbivariada
función gama
distribución Kummer-beta
Rights
openAccess
License
Copyright © 2020 Daya K. Nagar, Edwin Zarrazola, Jessica Serna-Morales
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spelling Medellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees2020-11-112021-02-19T16:41:43Z2020-11-112021-02-19T16:41:43Z1794-9165http://hdl.handle.net/10784/25803A new bivariate beta distribution based on the Humbert’s confluent hypergeometric function of the second kind is introduced. Various representations are derived for its product moments, marginal densities, marginal moments, conditional densities and entropies.En este artículo se propone una nueva distribución beta bivariada basadaen distribuciones hipergeométricas Humbert de segundo tipo. Tambiénse derivan las representaciones de las densidades marginales, momentosmarginales y productos, densidades condicionales y entropía.application/pdfengUniversidad EAFIThttps://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/6245/5059https://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/6245/5059Copyright © 2020 Daya K. Nagar, Edwin Zarrazola, Jessica Serna-Moralesinfo:eu-repo/semantics/openAccessAcceso abiertohttp://purl.org/coar/access_right/c_abf2Revista Ingeniería y Ciencias, Vol. 16 Núm. 32 (2020)Generalized Bivariate Kummer-Beta Distributionarticleinfo:eu-repo/semantics/articlepublishedVersioninfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Beta functionbeta distributionentropybivariate distributiongamma functionKummer-beta distributionFunción betadistribución betaentropíadistribuciónbivariadafunción gamadistribución Kummer-betaNagar, Daya KZarrazola, EdwinSerna-Morales, JessicaUniversidad de AntioquiaUniversidad Nacional de ColombiaIngeniería y Ciencias1632731THUMBNAILminaitura-ig_Mesa de trabajo 1.jpgminaitura-ig_Mesa de trabajo 1.jpgimage/jpeg265796https://repository.eafit.edu.co/bitstreams/bb1270e9-0cd3-4c4c-9bab-08b7a3c4019a/downloadda9b21a5c7e00c7f1127cef8e97035e0MD51ORIGINALdocument - 2021-04-28T215645.599.pdfdocument - 2021-04-28T215645.599.pdfPDF Completoapplication/pdf619372https://repository.eafit.edu.co/bitstreams/56de0c97-4f3c-488d-bc2f-a2d3e38e89ef/download14e1dd40175adf76678c1f597bbbe316MD52articulo.htmlarticulo.htmlHTML Completotext/html375https://repository.eafit.edu.co/bitstreams/c130f746-dfeb-4468-8f43-ddda7ae385f6/download71ca6261daba6e2d3496a28d1c7c0db3MD5310784/25803oai:repository.eafit.edu.co:10784/258032021-04-28 22:00:29.191open.accesshttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.co
dc.title.eng.fl_str_mv Generalized Bivariate Kummer-Beta Distribution
title Generalized Bivariate Kummer-Beta Distribution
spellingShingle Generalized Bivariate Kummer-Beta Distribution
Beta function
beta distribution
entropy
bivariate distribution
gamma function
Kummer-beta distribution
Función beta
distribución beta
entropía
distribuciónbivariada
función gama
distribución Kummer-beta
title_short Generalized Bivariate Kummer-Beta Distribution
title_full Generalized Bivariate Kummer-Beta Distribution
title_fullStr Generalized Bivariate Kummer-Beta Distribution
title_full_unstemmed Generalized Bivariate Kummer-Beta Distribution
title_sort Generalized Bivariate Kummer-Beta Distribution
dc.creator.fl_str_mv Nagar, Daya K
Zarrazola, Edwin
Serna-Morales, Jessica
dc.contributor.author.spa.fl_str_mv Nagar, Daya K
Zarrazola, Edwin
Serna-Morales, Jessica
dc.contributor.affiliation.spa.fl_str_mv Universidad de Antioquia
Universidad Nacional de Colombia
dc.subject.keyword.eng.fl_str_mv Beta function
beta distribution
entropy
bivariate distribution
gamma function
Kummer-beta distribution
topic Beta function
beta distribution
entropy
bivariate distribution
gamma function
Kummer-beta distribution
Función beta
distribución beta
entropía
distribuciónbivariada
función gama
distribución Kummer-beta
dc.subject.keyword.spa.fl_str_mv Función beta
distribución beta
entropía
distribuciónbivariada
función gama
distribución Kummer-beta
description A new bivariate beta distribution based on the Humbert’s confluent hypergeometric function of the second kind is introduced. Various representations are derived for its product moments, marginal densities, marginal moments, conditional densities and entropies.
publishDate 2020
dc.date.issued.none.fl_str_mv 2020-11-11
dc.date.available.none.fl_str_mv 2021-02-19T16:41:43Z
dc.date.accessioned.none.fl_str_mv 2021-02-19T16:41:43Z
dc.date.none.fl_str_mv 2020-11-11
dc.type.eng.fl_str_mv article
info:eu-repo/semantics/article
publishedVersion
info:eu-repo/semantics/publishedVersion
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http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.local.spa.fl_str_mv Artículo
status_str publishedVersion
dc.identifier.issn.none.fl_str_mv 1794-9165
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/10784/25803
identifier_str_mv 1794-9165
url http://hdl.handle.net/10784/25803
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.isversionof.none.fl_str_mv https://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/6245/5059
dc.relation.uri.none.fl_str_mv https://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/6245/5059
dc.rights.eng.fl_str_mv Copyright © 2020 Daya K. Nagar, Edwin Zarrazola, Jessica Serna-Morales
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.accessrights.eng.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.local.spa.fl_str_mv Acceso abierto
rights_invalid_str_mv Copyright © 2020 Daya K. Nagar, Edwin Zarrazola, Jessica Serna-Morales
Acceso abierto
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.coverage.spatial.none.fl_str_mv Medellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees
dc.publisher.spa.fl_str_mv Universidad EAFIT
dc.source.spa.fl_str_mv Revista Ingeniería y Ciencias, Vol. 16 Núm. 32 (2020)
institution Universidad EAFIT
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