Properties of the hypergeometric function type I distribution
ABSTRACT: The hypergeometric function type I distribution with the pdf proportional to x () ( ) − x F α β γ − x ν− γ− 1 2 1 , ; ; 1 1 1 occurs as the distribution of the product of two independent beta variables. In this article, we study several properties and stochastic representations of this dis...
- Autores:
-
Nagar, Daya Krishna
Álvarez Chalarca, José Ángel
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2005
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/30862
- Acceso en línea:
- https://hdl.handle.net/10495/30862
- Palabra clave:
- Funciones hipergeométricas
Hypergeometric functions
Distribución hipergeométrica
Hypergeometric distribution
Variables beta
- Rights
- openAccess
- License
- https://creativecommons.org/licenses/by-nc-nd/4.0/
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Properties of the hypergeometric function type I distribution |
| title |
Properties of the hypergeometric function type I distribution |
| spellingShingle |
Properties of the hypergeometric function type I distribution Funciones hipergeométricas Hypergeometric functions Distribución hipergeométrica Hypergeometric distribution Variables beta |
| title_short |
Properties of the hypergeometric function type I distribution |
| title_full |
Properties of the hypergeometric function type I distribution |
| title_fullStr |
Properties of the hypergeometric function type I distribution |
| title_full_unstemmed |
Properties of the hypergeometric function type I distribution |
| title_sort |
Properties of the hypergeometric function type I distribution |
| dc.creator.fl_str_mv |
Nagar, Daya Krishna Álvarez Chalarca, José Ángel |
| dc.contributor.author.none.fl_str_mv |
Nagar, Daya Krishna Álvarez Chalarca, José Ángel |
| dc.contributor.researchgroup.spa.fl_str_mv |
Análisis Multivariado |
| dc.subject.lemb.none.fl_str_mv |
Funciones hipergeométricas Hypergeometric functions Distribución hipergeométrica Hypergeometric distribution |
| topic |
Funciones hipergeométricas Hypergeometric functions Distribución hipergeométrica Hypergeometric distribution Variables beta |
| dc.subject.proposal.spa.fl_str_mv |
Variables beta |
| description |
ABSTRACT: The hypergeometric function type I distribution with the pdf proportional to x () ( ) − x F α β γ − x ν− γ− 1 2 1 , ; ; 1 1 1 occurs as the distribution of the product of two independent beta variables. In this article, we study several properties and stochastic representations of this distribution. |
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2005 |
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2005 |
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2022-09-25T17:23:29Z |
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0972-3617 |
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https://hdl.handle.net/10495/30862 |
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eng |
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3 |
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341 |
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Advances and Applications in Statistics |
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Nagar, Daya KrishnaÁlvarez Chalarca, José ÁngelAnálisis Multivariado2022-09-25T17:23:29Z2022-09-25T17:23:29Z20050972-3617https://hdl.handle.net/10495/30862ABSTRACT: The hypergeometric function type I distribution with the pdf proportional to x () ( ) − x F α β γ − x ν− γ− 1 2 1 , ; ; 1 1 1 occurs as the distribution of the product of two independent beta variables. In this article, we study several properties and stochastic representations of this distribution.COL000053211application/pdfengPushpa Publishing HouseIndiahttps://creativecommons.org/licenses/by-nc-nd/4.0/http://creativecommons.org/licenses/by-nc-nd/2.5/co/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Properties of the hypergeometric function type I distributionArtículo 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 hipergeométricasHypergeometric functionsDistribución hipergeométricaHypergeometric distributionVariables beta35133415Advances and Applications in StatisticsPublicationORIGINALNagarDaya_2005_PropertiesHypergeometric.pdfNagarDaya_2005_PropertiesHypergeometric.pdfArtículo de investigaciónapplication/pdf129459https://bibliotecadigital.udea.edu.co/bitstreams/f99917e3-667e-4bec-9272-14e8458f05d7/downloaddf3456d6955a005d49910790ef2fa10dMD51trueAnonymousREADCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8823https://bibliotecadigital.udea.edu.co/bitstreams/95e83cb5-55da-48cd-830d-f0a52fe927d7/downloadb88b088d9957e670ce3b3fbe2eedbc13MD52falseAnonymousREADLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstreams/ae982edd-9eab-4ba0-be12-f5b8a3a8f04b/download8a4605be74aa9ea9d79846c1fba20a33MD53falseAnonymousREADTEXTNagarDaya_2005_PropertiesHypergeometric.pdf.txtNagarDaya_2005_PropertiesHypergeometric.pdf.txtExtracted texttext/plain16652https://bibliotecadigital.udea.edu.co/bitstreams/ded2c19b-d262-46e5-8f6f-5ed52165017a/downloada463f102ef171492336c791fe65d1a48MD54falseAnonymousREADTHUMBNAILNagarDaya_2005_PropertiesHypergeometric.pdf.jpgNagarDaya_2005_PropertiesHypergeometric.pdf.jpgGenerated Thumbnailimage/jpeg8148https://bibliotecadigital.udea.edu.co/bitstreams/87c296ef-536e-4fc9-97f6-2f000dbd8d02/download4983f2cb08f2f9ef71c0c29c6e9d14dcMD55falseAnonymousREAD10495/30862oai:bibliotecadigital.udea.edu.co:10495/308622025-03-26 22:04:27.446https://creativecommons.org/licenses/by-nc-nd/4.0/open.accesshttps://bibliotecadigital.udea.edu.coRepositorio Institucional de la Universidad de Antioquiaaplicacionbibliotecadigitalbiblioteca@udea.edu.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 |