An extension of the well known matrix Kummer relation of Herz (1955) is proposed in this paper by assuming a general model which admits a Taylor expansion. Under certain conditions of the involved parameters, the addressed generalisation can be used for deriving efficiently computable matrix variate...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2015
- Institución:
- Universidad de Medellín
- Repositorio:
- Repositorio UDEM
- Idioma:
- eng
- OAI Identifier:
- oai:repository.udem.edu.co:11407/1372
- Acceso en línea:
- http://hdl.handle.net/11407/1372
- Palabra clave:
- Hypergeometric function
Matrix Kummer relations
Zonal polynomials.
- Rights
- restrictedAccess
- License
- http://purl.org/coar/access_right/c_16ec
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2015-10-09T13:17:53Z2015-10-09T13:17:53Z20150038271Xhttp://hdl.handle.net/11407/1372An extension of the well known matrix Kummer relation of Herz (1955) is proposed in this paper by assuming a general model which admits a Taylor expansion. Under certain conditions of the involved parameters, the addressed generalisation can be used for deriving efficiently computable matrix variate densities based on non Gaussian models, avoiding some open problems of the literature in the context of shape theory and other related fields. © PublisherengSouth African Statistical Associationhttp://reference.sabinet.co.za/sa_epublication_article/sasj_v49_n1_a5South African Statistical Journal, marzo de 2015, volume 49, issue 1, pp 77-86ScopusArticleinfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1info:eu-repo/semantics/restrictedAccesshttp://purl.org/coar/access_right/c_16ecDepartment of Statistics and Computation, Universidad Autonoma Agraria Antonio Narro, Buenavista, Saltillo, Coahuila, MexicoDepartment of Basic Sciences, Universidad de Medellín, Carrera 87 No.30-65, of. 5-103, Medellín, ColombiaDiaz-Garcia J.A.Caro-Lopera F.J.Hypergeometric functionMatrix Kummer relationsZonal polynomials.Matrix generalised Kummer relation11407/1372oai:repository.udem.edu.co:11407/13722020-05-27 16:33:51.633Repositorio Institucional Universidad de Medellinrepositorio@udem.edu.co |
| dc.title.english.eng.fl_str_mv |
Matrix generalised Kummer relation |
| dc.contributor.affiliation.spa.fl_str_mv |
Department of Statistics and Computation, Universidad Autonoma Agraria Antonio Narro, Buenavista, Saltillo, Coahuila, Mexico Department of Basic Sciences, Universidad de Medellín, Carrera 87 No.30-65, of. 5-103, Medellín, Colombia |
| dc.subject.keyword.eng.fl_str_mv |
Hypergeometric function Matrix Kummer relations Zonal polynomials. |
| topic |
Hypergeometric function Matrix Kummer relations Zonal polynomials. |
| spellingShingle |
Hypergeometric function Matrix Kummer relations Zonal polynomials. |
| description |
An extension of the well known matrix Kummer relation of Herz (1955) is proposed in this paper by assuming a general model which admits a Taylor expansion. Under certain conditions of the involved parameters, the addressed generalisation can be used for deriving efficiently computable matrix variate densities based on non Gaussian models, avoiding some open problems of the literature in the context of shape theory and other related fields. © Publisher |
| publishDate |
2015 |
| dc.date.accessioned.none.fl_str_mv |
2015-10-09T13:17:53Z |
| dc.date.available.none.fl_str_mv |
2015-10-09T13:17:53Z |
| dc.date.created.none.fl_str_mv |
2015 |
| dc.type.eng.fl_str_mv |
Article |
| dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_6501 http://purl.org/coar/resource_type/c_2df8fbb1 |
| dc.type.driver.none.fl_str_mv |
info:eu-repo/semantics/article |
| dc.identifier.issn.none.fl_str_mv |
0038271X |
| dc.identifier.uri.none.fl_str_mv |
http://hdl.handle.net/11407/1372 |
| identifier_str_mv |
0038271X |
| url |
http://hdl.handle.net/11407/1372 |
| dc.language.iso.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.isversionof.spa.fl_str_mv |
http://reference.sabinet.co.za/sa_epublication_article/sasj_v49_n1_a5 |
| dc.relation.ispartofen.eng.fl_str_mv |
South African Statistical Journal, marzo de 2015, volume 49, issue 1, pp 77-86 |
| dc.rights.coar.fl_str_mv |
http://purl.org/coar/access_right/c_16ec |
| dc.rights.accessrights.none.fl_str_mv |
info:eu-repo/semantics/restrictedAccess |
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restrictedAccess |
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http://purl.org/coar/access_right/c_16ec |
| dc.publisher.spa.fl_str_mv |
South African Statistical Association |
| dc.source.spa.fl_str_mv |
Scopus |
| institution |
Universidad de Medellín |
| repository.name.fl_str_mv |
Repositorio Institucional Universidad de Medellin |
| repository.mail.fl_str_mv |
repositorio@udem.edu.co |
| _version_ |
1814159152414457856 |