Product and Quotient of Independent Gauss Hypergeometric Variables

In this article, we have derived the probability density functions of the product and the quotient of two independent random variables that have a hypergeometric Gaussian distribution. These densities have been expressed in terms of the first hypergeometric function of Appell F1. In addition, Rényi...

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Autores:
Krishna Nagar, Daya
Bedoya Valencia, Danilo
Tipo de recurso:
Fecha de publicación:
2011
Institución:
Universidad EAFIT
Repositorio:
Repositorio EAFIT
Idioma:
eng
OAI Identifier:
oai:repository.eafit.edu.co:10784/14462
Acceso en línea:
http://hdl.handle.net/10784/14462
Palabra clave:
First Appell Hypergeometric Function
Beta Distribution
Gauss Hypergeometric Distribution
Quotient
Transformation
Primera Función Hipergeométrica Appell
Beta Distribución
La Distribución Hipergeométrica De Gauss
Cociente
Transformación
Rights
License
Copyright (c) 2011 Daya Krishna Nagar, Danilo Bedoya Valencia
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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 degrees2011-12-012019-11-22T18:55:36Z2011-12-012019-11-22T18:55:36Z2256-43141794-9165http://hdl.handle.net/10784/14462In this article, we have derived the probability density functions of the product and the quotient of two independent random variables that have a hypergeometric Gaussian distribution. These densities have been expressed in terms of the first hypergeometric function of Appell F1. In addition, Rényi and Shannon entropies have also been derived from the Gage hypergeometric distribution.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 han expresada en términos de la primera función hipergeométrica de Appell F1. Además, entropías Rényi y Shannon también se han derivado de la distribución hipergeométrica de Gauss.application/pdfengUniversidad EAFIThttp://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/427http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/427Copyright (c) 2011 Daya Krishna Nagar, Danilo Bedoya ValenciaAcceso abiertohttp://purl.org/coar/access_right/c_abf2instname:Universidad EAFITreponame:Repositorio Institucional Universidad EAFITIngeniería y Ciencia; Vol 7, No 14 (2011)Product and Quotient of Independent Gauss Hypergeometric VariablesProducto y Cociente de Variables Independientes Hipergeométrica de Gaussarticleinfo: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_2df8fbb1First Appell Hypergeometric FunctionBeta DistributionGauss Hypergeometric DistributionQuotientTransformationPrimera Función Hipergeométrica AppellBeta DistribuciónLa Distribución Hipergeométrica De GaussCocienteTransformaciónKrishna Nagar, DayaBedoya Valencia, DaniloUniversidad de AntioquiaIngeniería y Ciencia7142948ing.cienc.ORIGINAL2.pdf2.pdfTexto completo PDFapplication/pdf459348https://repository.eafit.edu.co/bitstreams/b2ed543e-feeb-419e-a852-2533e1169956/download0c3a4466317295e5d9ca7bdacd7f7857MD52articulo.htmlarticulo.htmlTexto completo HTMLtext/html373https://repository.eafit.edu.co/bitstreams/768ad0ff-e363-4779-ac43-d3927126a094/download1723c4f30504c370cfe1d0b693e4489fMD53THUMBNAILminaitura-ig_Mesa de trabajo 1.jpgminaitura-ig_Mesa de trabajo 1.jpgimage/jpeg265796https://repository.eafit.edu.co/bitstreams/3e95aad4-f44a-4815-afd2-5cf59076649e/downloadda9b21a5c7e00c7f1127cef8e97035e0MD5110784/14462oai:repository.eafit.edu.co:10784/144622020-03-02 22:09:03.264open.accesshttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.co
dc.title.eng.fl_str_mv Product and Quotient of Independent Gauss Hypergeometric Variables
dc.title.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
First Appell Hypergeometric Function
Beta Distribution
Gauss Hypergeometric Distribution
Quotient
Transformation
Primera Función Hipergeométrica Appell
Beta Distribución
La Distribución Hipergeométrica De Gauss
Cociente
Transformación
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 Krishna Nagar, Daya
Bedoya Valencia, Danilo
dc.contributor.author.spa.fl_str_mv Krishna Nagar, Daya
Bedoya Valencia, Danilo
dc.contributor.affiliation.spa.fl_str_mv Universidad de Antioquia
dc.subject.keyword.eng.fl_str_mv First Appell Hypergeometric Function
Beta Distribution
Gauss Hypergeometric Distribution
Quotient
Transformation
topic First Appell Hypergeometric Function
Beta Distribution
Gauss Hypergeometric Distribution
Quotient
Transformation
Primera Función Hipergeométrica Appell
Beta Distribución
La Distribución Hipergeométrica De Gauss
Cociente
Transformación
dc.subject.keyword.spa.fl_str_mv Primera Función Hipergeométrica Appell
Beta Distribución
La Distribución Hipergeométrica De Gauss
Cociente
Transformación
description In this article, we have derived the probability density functions of the product and the quotient of two independent random variables that have a hypergeometric Gaussian distribution. These densities have been expressed in terms of the first hypergeometric function of Appell F1. In addition, Rényi and Shannon entropies have also been derived from the Gage hypergeometric distribution.
publishDate 2011
dc.date.issued.none.fl_str_mv 2011-12-01
dc.date.available.none.fl_str_mv 2019-11-22T18:55:36Z
dc.date.accessioned.none.fl_str_mv 2019-11-22T18:55:36Z
dc.date.none.fl_str_mv 2011-12-01
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 2256-4314
1794-9165
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/10784/14462
identifier_str_mv 2256-4314
1794-9165
url http://hdl.handle.net/10784/14462
dc.language.iso.eng.fl_str_mv eng
language eng
dc.relation.isversionof.none.fl_str_mv http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/427
dc.relation.uri.none.fl_str_mv http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/427
dc.rights.eng.fl_str_mv Copyright (c) 2011 Daya Krishna Nagar, Danilo Bedoya Valencia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.local.spa.fl_str_mv Acceso abierto
rights_invalid_str_mv Copyright (c) 2011 Daya Krishna Nagar, Danilo Bedoya Valencia
Acceso abierto
http://purl.org/coar/access_right/c_abf2
dc.format.none.fl_str_mv application/pdf
dc.coverage.spatial.eng.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.none.fl_str_mv instname:Universidad EAFIT
reponame:Repositorio Institucional Universidad EAFIT
dc.source.spa.fl_str_mv Ingeniería y Ciencia; Vol 7, No 14 (2011)
instname_str Universidad EAFIT
institution Universidad EAFIT
reponame_str Repositorio Institucional Universidad EAFIT
collection Repositorio Institucional Universidad EAFIT
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