Product and quotient of independent gauss hypergeometric variables

ABSTRACT: In this article, we have derived the probability density functions of the product and the quotient of two independent random variables having Gauss hypergeometric distribution. These densities have been expressed in terms of Appell’s first hypergeometric function F1. Further, R´enyi and Sh...

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Autores:
Nagar, Daya Krishna
Bedoya Valencia, Danilo
Tipo de recurso:
Article of investigation
Fecha de publicación:
2011
Institución:
Universidad de Antioquia
Repositorio:
Repositorio UdeA
Idioma:
eng
OAI Identifier:
oai:bibliotecadigital.udea.edu.co:10495/41786
Acceso en línea:
https://hdl.handle.net/10495/41786
Palabra clave:
Funciones beta
Functions, beta
Teoría de las distribuciones (análisis funcional)
Theory of distributions (Functional analysis)
Hiperfunciones
Hyperfunctions
Distribución de Gauss
Gauss distribution
Funciones hipergeométricas
Hypergeometric functions
Rights
openAccess
License
http://creativecommons.org/licenses/by/2.5/co/
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dc.title.spa.fl_str_mv Product and quotient of independent gauss hypergeometric variables
dc.title.translated.spa.fl_str_mv Producto y cociente de variables independientes hipergeométrica de Gauss
title Product and quotient of independent gauss hypergeometric variables
spellingShingle Product and quotient of independent gauss hypergeometric variables
Funciones beta
Functions, beta
Teoría de las distribuciones (análisis funcional)
Theory of distributions (Functional analysis)
Hiperfunciones
Hyperfunctions
Distribución de Gauss
Gauss distribution
Funciones hipergeométricas
Hypergeometric functions
title_short Product and quotient of independent gauss hypergeometric variables
title_full Product and quotient of independent gauss hypergeometric variables
title_fullStr Product and quotient of independent gauss hypergeometric variables
title_full_unstemmed Product and quotient of independent gauss hypergeometric variables
title_sort Product and quotient of independent gauss hypergeometric variables
dc.creator.fl_str_mv Nagar, Daya Krishna
Bedoya Valencia, Danilo
dc.contributor.author.none.fl_str_mv Nagar, Daya Krishna
Bedoya Valencia, Danilo
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
Distribución de Gauss
Gauss distribution
Funciones hipergeométricas
Hypergeometric functions
topic Funciones beta
Functions, beta
Teoría de las distribuciones (análisis funcional)
Theory of distributions (Functional analysis)
Hiperfunciones
Hyperfunctions
Distribución de Gauss
Gauss distribution
Funciones hipergeométricas
Hypergeometric functions
description ABSTRACT: In this article, we have derived the probability density functions of the product and the quotient of two independent random variables having Gauss hypergeometric distribution. These densities have been expressed in terms of Appell’s first hypergeometric function F1. Further, R´enyi and Shannon entropies have also been derived for the Gauss hypergeometric distribution.
publishDate 2011
dc.date.issued.none.fl_str_mv 2011
dc.date.accessioned.none.fl_str_mv 2024-09-04T20:31:06Z
dc.date.available.none.fl_str_mv 2024-09-04T20:31:06Z
dc.type.spa.fl_str_mv Artículo de investigación
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
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dc.identifier.citation.spa.fl_str_mv Nagar, D. K., & Bedoya Valencia, D. (2011). Product and Quotient of Independent Gauss Hypergeometric Variables. Ingeniería Y Ciencia, 7(14), 29–48. Retrieved from https://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/427
dc.identifier.issn.none.fl_str_mv 1794-9165
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/10495/41786
dc.identifier.eissn.none.fl_str_mv 2256-4314
identifier_str_mv Nagar, D. K., & Bedoya Valencia, D. (2011). Product and Quotient of Independent Gauss Hypergeometric Variables. Ingeniería Y Ciencia, 7(14), 29–48. Retrieved from https://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/427
1794-9165
2256-4314
url https://hdl.handle.net/10495/41786
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.ispartofjournalabbrev.spa.fl_str_mv Ing. Cienc.
dc.relation.citationendpage.spa.fl_str_mv 48
dc.relation.citationissue.spa.fl_str_mv 14
dc.relation.citationstartpage.spa.fl_str_mv 29
dc.relation.citationvolume.spa.fl_str_mv 7
dc.relation.ispartofjournal.spa.fl_str_mv Ingeniería y Ciencia
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dc.format.extent.spa.fl_str_mv 20 páginas
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dc.publisher.spa.fl_str_mv Universidad EAFIT, Escuela de Ciencias Aplicadas e Ingeniería
dc.publisher.place.spa.fl_str_mv Medellín, Colombia
institution Universidad de Antioquia
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spelling Nagar, Daya KrishnaBedoya Valencia, DaniloAnálisis Multivariado2024-09-04T20:31:06Z2024-09-04T20:31:06Z2011Nagar, D. K., & Bedoya Valencia, D. (2011). Product and Quotient of Independent Gauss Hypergeometric Variables. Ingeniería Y Ciencia, 7(14), 29–48. Retrieved from https://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/4271794-9165https://hdl.handle.net/10495/417862256-4314ABSTRACT: In this article, we have derived the probability density functions of the product and the quotient of two independent random variables having Gauss hypergeometric distribution. These densities have been expressed in terms of Appell’s first hypergeometric function F1. Further, R´enyi and Shannon entropies have also been derived for the Gauss hypergeometric distribution.RESUMEN: En este artículo, hemos derivado las funciones de densidad de probabilidad del producto y el cociente de dos variables aleatorias independientes que tienen una distribución hipergeométrica de Gauss. Estas densidades se hayan expresadas en términos de la primera función hipergeométrica de Appell F1. Además, entropias Rényi y Shannon también se han derivado de la distribución hipergeométrica de Gauss.COL000053220 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_abf2Product and quotient of independent gauss hypergeometric variablesProducto y cociente de variables independientes hipergeométrica de GaussArtículo 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)HiperfuncionesHyperfunctionsDistribución de GaussGauss distributionFunciones hipergeométricasHypergeometric functionsIng. 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