Generalized Extended Matrix Variate Beta and Gamma Functions and Their Applications

In this article, we define and study generalized forms of extended matrix variate gamma and beta functions. By using a number of results from matrix algebra, special functions of matrix arguments and zonal polynomials we derive a number of properties of these newly defined functions. We also give so...

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Autores:
Nagar, Daya K.
Gómez-Noguera, Sergio Alexander
Gupta, Arjun K
Tipo de recurso:
Fecha de publicación:
2016
Institución:
Universidad EAFIT
Repositorio:
Repositorio EAFIT
Idioma:
eng
OAI Identifier:
oai:repository.eafit.edu.co:10784/11292
Acceso en línea:
http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/3404
http://hdl.handle.net/10784/11292
Palabra clave:
Mathematics
beta function; extended beta function; extended matrix variate beta distri- bution; extended gamma function; gamma function; matrix argument; zonal polynomial
Matemáticas
Función Beta
función beta extendida
distribución beta matriz variada extendida
función gama
función gama extendida
argumento matricial
polinomio zonal
33E99
62H99
Rights
License
Copyright (c) 2016 Ingeniería y Ciencia | ing.cienc.
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spelling 2016-11-112017-04-03T16:10:27Z2016-11-222017-04-03T16:10:27Z2256-43141794–9165http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/3404http://hdl.handle.net/10784/1129210.17230/ingciencia.12.24.3In this article, we define and study generalized forms of extended matrix variate gamma and beta functions. By using a number of results from matrix algebra, special functions of matrix arguments and zonal polynomials we derive a number of properties of these newly defined functions. We also give some applications of these functions to statistical distribution theory.En este artículo definimos y estudiamos formas generalizadas de las funciones gama y beta matriz variadas extendidas. Utilizando varios resultados del álgebra matricial, funciones especiales de argumento matricial y polinomios zonales, derivamos algunas de las propiedades de estas funciones. También mostramos algunas aplicaciones de estas funciones a la teoría de distribuciones.application/pdfengUniversidad EAFIThttp://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/3404Copyright (c) 2016 Ingeniería y Ciencia | ing.cienc.http://creativecommons.org/licenses/by/4.0Acceso abiertohttp://purl.org/coar/access_right/c_abf2instname:Universidad EAFITreponame:Repositorio Institucional Universidad EAFITIngeniería y Ciencia | ing.cienc.; Vol 12, No 24 (2016); 51-82Ingeniería y Ciencia - ing.cienc.; Vol 12, No 24 (2016); 51-82Generalized Extended Matrix Variate Beta and Gamma Functions and Their ApplicationsFunciones Beta y Gama Generalizadas Extendidas y sus Aplicacionesinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionarticlepublishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Mathematicsbeta function; extended beta function; extended matrix variate beta distri- bution; extended gamma function; gamma function; matrix argument; zonal polynomialMatemáticasFunción Betafunción beta extendidadistribución beta matriz variada extendidafunción gamafunción gama extendidaargumento matricialpolinomio zonal33E9962H99Nagar, Daya K.Gómez-Noguera, Sergio AlexanderGupta, Arjun KIngeniería y Ciencia12245182ing.ciencORIGINALarticulo.htmlarticulo.htmlTexto completo HTMLtext/html290https://repository.eafit.edu.co/bitstreams/dda32c93-645c-44ac-94d7-d455c4e52084/downloadd23e88d36360e3500c44eb746073efecMD51document (40).pdfdocument (40).pdfTexto completo PDFapplication/pdf588777https://repository.eafit.edu.co/bitstreams/94497316-3199-4aae-9158-4b3291243ac8/download9671ea16ca725858175255069af44c07MD52THUMBNAILminaitura-ig_Mesa de trabajo 1.jpgminaitura-ig_Mesa de trabajo 1.jpgimage/jpeg265796https://repository.eafit.edu.co/bitstreams/3be70d72-555a-4773-bccb-f54c17d9f3fc/downloadda9b21a5c7e00c7f1127cef8e97035e0MD5310784/11292oai:repository.eafit.edu.co:10784/112922020-07-17 14:45:53.945open.accesshttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.co
dc.title.eng.fl_str_mv Generalized Extended Matrix Variate Beta and Gamma Functions and Their Applications
dc.title.spa.fl_str_mv Funciones Beta y Gama Generalizadas Extendidas y sus Aplicaciones
title Generalized Extended Matrix Variate Beta and Gamma Functions and Their Applications
spellingShingle Generalized Extended Matrix Variate Beta and Gamma Functions and Their Applications
Mathematics
beta function; extended beta function; extended matrix variate beta distri- bution; extended gamma function; gamma function; matrix argument; zonal polynomial
Matemáticas
Función Beta
función beta extendida
distribución beta matriz variada extendida
función gama
función gama extendida
argumento matricial
polinomio zonal
33E99
62H99
title_short Generalized Extended Matrix Variate Beta and Gamma Functions and Their Applications
title_full Generalized Extended Matrix Variate Beta and Gamma Functions and Their Applications
title_fullStr Generalized Extended Matrix Variate Beta and Gamma Functions and Their Applications
title_full_unstemmed Generalized Extended Matrix Variate Beta and Gamma Functions and Their Applications
title_sort Generalized Extended Matrix Variate Beta and Gamma Functions and Their Applications
dc.creator.fl_str_mv Nagar, Daya K.
Gómez-Noguera, Sergio Alexander
Gupta, Arjun K
dc.contributor.author.none.fl_str_mv Nagar, Daya K.
Gómez-Noguera, Sergio Alexander
Gupta, Arjun K
dc.subject.keyword.eng.fl_str_mv Mathematics
beta function; extended beta function; extended matrix variate beta distri- bution; extended gamma function; gamma function; matrix argument; zonal polynomial
topic Mathematics
beta function; extended beta function; extended matrix variate beta distri- bution; extended gamma function; gamma function; matrix argument; zonal polynomial
Matemáticas
Función Beta
función beta extendida
distribución beta matriz variada extendida
función gama
función gama extendida
argumento matricial
polinomio zonal
33E99
62H99
dc.subject.keyword.spa.fl_str_mv Matemáticas
Función Beta
función beta extendida
distribución beta matriz variada extendida
función gama
función gama extendida
argumento matricial
polinomio zonal
33E99
62H99
description In this article, we define and study generalized forms of extended matrix variate gamma and beta functions. By using a number of results from matrix algebra, special functions of matrix arguments and zonal polynomials we derive a number of properties of these newly defined functions. We also give some applications of these functions to statistical distribution theory.
publishDate 2016
dc.date.issued.none.fl_str_mv 2016-11-22
dc.date.available.none.fl_str_mv 2017-04-03T16:10:27Z
dc.date.accessioned.none.fl_str_mv 2017-04-03T16:10:27Z
dc.date.none.fl_str_mv 2016-11-11
dc.type.eng.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
article
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://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/3404
http://hdl.handle.net/10784/11292
dc.identifier.doi.none.fl_str_mv 10.17230/ingciencia.12.24.3
identifier_str_mv 2256-4314
1794–9165
10.17230/ingciencia.12.24.3
url http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/3404
http://hdl.handle.net/10784/11292
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.isversionof.none.fl_str_mv http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/3404
dc.rights.spa.fl_str_mv Copyright (c) 2016 Ingeniería y Ciencia | ing.cienc.
http://creativecommons.org/licenses/by/4.0
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) 2016 Ingeniería y Ciencia | ing.cienc.
http://creativecommons.org/licenses/by/4.0
Acceso abierto
http://purl.org/coar/access_right/c_abf2
dc.format.none.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad EAFIT
dc.source.none.fl_str_mv instname:Universidad EAFIT
reponame:Repositorio Institucional Universidad EAFIT
dc.source.eng.fl_str_mv Ingeniería y Ciencia | ing.cienc.; Vol 12, No 24 (2016); 51-82
dc.source.spa.fl_str_mv Ingeniería y Ciencia - ing.cienc.; Vol 12, No 24 (2016); 51-82
instname_str Universidad EAFIT
institution Universidad EAFIT
reponame_str Repositorio Institucional Universidad EAFIT
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