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...

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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
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-nd/2.5/co/
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dc.title.spa.fl_str_mv 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
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.subject.lemb.none.fl_str_mv Funciones hipergeométricas
Hypergeometric functions
Distribución hipergeométrica
Hypergeometric distribution
topic Funciones hipergeométricas
Hypergeometric functions
Distribución hipergeométrica
Hypergeometric distribution
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.
publishDate 2005
dc.date.issued.none.fl_str_mv 2005
dc.date.accessioned.none.fl_str_mv 2022-09-25T17:23:29Z
dc.date.available.none.fl_str_mv 2022-09-25T17:23:29Z
dc.type.spa.fl_str_mv info:eu-repo/semantics/article
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dc.type.local.spa.fl_str_mv Artículo de investigación
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status_str publishedVersion
dc.identifier.issn.none.fl_str_mv 0972-3617
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/10495/30862
identifier_str_mv 0972-3617
url https://hdl.handle.net/10495/30862
dc.language.iso.spa.fl_str_mv eng
language eng
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dc.publisher.spa.fl_str_mv Pushpa Publishing House
dc.publisher.group.spa.fl_str_mv Análisis Multivariado
dc.publisher.place.spa.fl_str_mv India
institution Universidad de Antioquia
bitstream.url.fl_str_mv https://bibliotecadigital.udea.edu.co/bitstream/10495/30862/1/NagarDaya_2005_PropertiesHypergeometric.pdf
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spelling Nagar, Daya KrishnaÁlvarez Chalarca, José Ángel2022-09-25T17:23:29Z2022-09-25T17:23:29Z20050972-3617https://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 HouseAnálisis MultivariadoIndiainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARTArtículo de investigaciónhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/2.5/co/http://purl.org/coar/access_right/c_abf2https://creativecommons.org/licenses/by-nc-nd/4.0/Properties of the hypergeometric function type I distributionFunciones hipergeométricasHypergeometric functionsDistribución hipergeométricaHypergeometric distributionAdvances and Applications in Statistics34135153ORIGINALNagarDaya_2005_PropertiesHypergeometric.pdfNagarDaya_2005_PropertiesHypergeometric.pdfArtículo de investigaciónapplication/pdf129459https://bibliotecadigital.udea.edu.co/bitstream/10495/30862/1/NagarDaya_2005_PropertiesHypergeometric.pdfdf3456d6955a005d49910790ef2fa10dMD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8823https://bibliotecadigital.udea.edu.co/bitstream/10495/30862/2/license_rdfb88b088d9957e670ce3b3fbe2eedbc13MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstream/10495/30862/3/license.txt8a4605be74aa9ea9d79846c1fba20a33MD5310495/30862oai:bibliotecadigital.udea.edu.co:10495/308622022-09-25 12:23:29.978Repositorio Institucional Universidad de Antioquiaandres.perez@udea.edu.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