Generalized bivariate kummer-beta distribution
ABSTRACT: 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 Krishna
Zarrazola Rivera, Edwin de Jesús
Serna Morales, Jessica
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2020
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/41777
- Acceso en línea:
- https://hdl.handle.net/10495/41777
- Palabra clave:
- Funciones beta
Functions, beta
Teoría de las distribuciones (análisis funcional)
Theory of distributions (Functional analysis)
Hiperfunciones
Hyperfunctions
Entropia
Entropy
Funciones gamma
Functions, gamma
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by/2.5/co/
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| dc.title.spa.fl_str_mv |
Generalized bivariate kummer-beta distribution |
| dc.title.translated.spa.fl_str_mv |
Distribución Kummer-beta bivariada generalizada |
| title |
Generalized bivariate kummer-beta distribution |
| spellingShingle |
Generalized bivariate kummer-beta distribution Funciones beta Functions, beta Teoría de las distribuciones (análisis funcional) Theory of distributions (Functional analysis) Hiperfunciones Hyperfunctions Entropia Entropy Funciones gamma Functions, gamma |
| 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 Krishna Zarrazola Rivera, Edwin de Jesús Serna Morales, Jessica |
| dc.contributor.author.none.fl_str_mv |
Nagar, Daya Krishna Zarrazola Rivera, Edwin de Jesús Serna Morales, Jessica |
| dc.contributor.researchgroup.spa.fl_str_mv |
Análisis Multivariado |
| dc.subject.lemb.none.fl_str_mv |
Funciones beta Functions, beta Teoría de las distribuciones (análisis funcional) Theory of distributions (Functional analysis) Hiperfunciones Hyperfunctions Entropia Entropy Funciones gamma Functions, gamma |
| topic |
Funciones beta Functions, beta Teoría de las distribuciones (análisis funcional) Theory of distributions (Functional analysis) Hiperfunciones Hyperfunctions Entropia Entropy Funciones gamma Functions, gamma |
| description |
ABSTRACT: 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 |
| dc.date.accessioned.none.fl_str_mv |
2024-09-04T19:11:18Z |
| dc.date.available.none.fl_str_mv |
2024-09-04T19:11:18Z |
| dc.type.spa.fl_str_mv |
Artículo de investigación |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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https://purl.org/redcol/resource_type/ART |
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Nagar, D. K., Zarrazola, E., & Serna-Morales, J. (2020). Generalized Bivariate Kummer-Beta Distribution. Ingeniería Y Ciencia, 16(32), 7–31. https://doi.org/10.17230/ingciencia.16.32.1 |
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1794-9165 |
| dc.identifier.uri.none.fl_str_mv |
https://hdl.handle.net/10495/41777 |
| dc.identifier.doi.none.fl_str_mv |
10.17230/ingciencia.16.32.1 |
| dc.identifier.eissn.none.fl_str_mv |
2256-4314 |
| identifier_str_mv |
Nagar, D. K., Zarrazola, E., & Serna-Morales, J. (2020). Generalized Bivariate Kummer-Beta Distribution. Ingeniería Y Ciencia, 16(32), 7–31. https://doi.org/10.17230/ingciencia.16.32.1 1794-9165 10.17230/ingciencia.16.32.1 2256-4314 |
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https://hdl.handle.net/10495/41777 |
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eng |
| language |
eng |
| dc.relation.ispartofjournalabbrev.spa.fl_str_mv |
Ing. Cienc. |
| dc.relation.citationendpage.spa.fl_str_mv |
31 |
| dc.relation.citationissue.spa.fl_str_mv |
32 |
| dc.relation.citationstartpage.spa.fl_str_mv |
7 |
| dc.relation.citationvolume.spa.fl_str_mv |
16 |
| dc.relation.ispartofjournal.spa.fl_str_mv |
Ingeniería y Ciencia |
| dc.rights.uri.*.fl_str_mv |
http://creativecommons.org/licenses/by/2.5/co/ |
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https://creativecommons.org/licenses/by/4.0/ |
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info:eu-repo/semantics/openAccess |
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openAccess |
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25 páginas |
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application/pdf |
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Universidad EAFIT, Escuela de Ciencias Aplicadas e Ingeniería |
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Medellín, Colombia |
| institution |
Universidad de Antioquia |
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Nagar, Daya KrishnaZarrazola Rivera, Edwin de JesúsSerna Morales, JessicaAnálisis Multivariado2024-09-04T19:11:18Z2024-09-04T19:11:18Z2020Nagar, D. K., Zarrazola, E., & Serna-Morales, J. (2020). Generalized Bivariate Kummer-Beta Distribution. Ingeniería Y Ciencia, 16(32), 7–31. https://doi.org/10.17230/ingciencia.16.32.11794-9165https://hdl.handle.net/10495/4177710.17230/ingciencia.16.32.12256-4314ABSTRACT: 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.RESUMEN: En este artículo se propone una nueva distribución beta bivariada basada en distribuciones hipergeométricas Humbert de segundo tipo. También se derivan las representaciones de las densidades marginales, momentos marginales y productos, densidades condicionales y entropía.COL000053225 páginasapplication/pdfengUniversidad EAFIT, Escuela de Ciencias Aplicadas e IngenieríaMedellín, Colombiahttp://creativecommons.org/licenses/by/2.5/co/https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Generalized bivariate kummer-beta distributionDistribución Kummer-beta bivariada generalizadaArtículo de investigaciónhttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARThttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionFunciones betaFunctions, betaTeoría de las distribuciones (análisis funcional)Theory of distributions (Functional analysis)HiperfuncionesHyperfunctionsEntropiaEntropyFunciones gammaFunctions, gammaIng. Cienc.3132716Ingeniería y CienciaPublicationCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8927https://bibliotecadigital.udea.edu.co/bitstreams/73af1597-b5e8-43e9-80fc-b01698da32e6/download1646d1f6b96dbbbc38035efc9239ac9cMD52falseAnonymousREADLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstreams/7363e64f-176b-4afd-8f36-4546046419f8/download8a4605be74aa9ea9d79846c1fba20a33MD53falseAnonymousREADORIGINALNagarDaya_2020_GeneralizedBivariateKummerBeta.pdfNagarDaya_2020_GeneralizedBivariateKummerBeta.pdfArtículo de investigaciónapplication/pdf619372https://bibliotecadigital.udea.edu.co/bitstreams/c06c3606-3817-4126-bb48-1d61fc65ec0f/download14e1dd40175adf76678c1f597bbbe316MD54trueAnonymousREADTEXTNagarDaya_2020_GeneralizedBivariateKummerBeta.pdf.txtNagarDaya_2020_GeneralizedBivariateKummerBeta.pdf.txtExtracted texttext/plain41270https://bibliotecadigital.udea.edu.co/bitstreams/287fbeb3-c350-49f0-9647-df61d03ad6db/download422a46eaf54e2031c861f53cd0af5f7eMD55falseAnonymousREADTHUMBNAILNagarDaya_2020_GeneralizedBivariateKummerBeta.pdf.jpgNagarDaya_2020_GeneralizedBivariateKummerBeta.pdf.jpgGenerated Thumbnailimage/jpeg9599https://bibliotecadigital.udea.edu.co/bitstreams/0dd3da09-b6b7-418d-8fc1-a9fd1551204e/download96233731cfe4a2b01e0f51ed0f052bbaMD56falseAnonymousREAD10495/41777oai:bibliotecadigital.udea.edu.co:10495/417772025-03-26 21:38:52.544http://creativecommons.org/licenses/by/2.5/co/open.accesshttps://bibliotecadigital.udea.edu.coRepositorio Institucional de la Universidad de Antioquiaaplicacionbibliotecadigitalbiblioteca@udea.edu.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 |