A formula for the determinant of a matrix in terms of powers of traces is presented. Then, some expansions for powers of determinants of positive definite matrices in terms of zonal polynomials are derived. By making use of these, the associated elliptical families of matrix-variate distributions ar...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2013
- Institución:
- Universidad de Medellín
- Repositorio:
- Repositorio UDEM
- Idioma:
- eng
- OAI Identifier:
- oai:repository.udem.edu.co:11407/1370
- Acceso en línea:
- http://hdl.handle.net/11407/1370
- Palabra clave:
- Determinant
Elliptical distributions
Permanent
Statistical shape theory
Zonal and invariant polynomials
- Rights
- restrictedAccess
- License
- http://purl.org/coar/access_right/c_16ec
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2015-10-09T13:17:53Z2015-10-09T13:17:53Z20130047259Xhttp://hdl.handle.net/11407/137010.1016/j.jmva.2012.07.008A formula for the determinant of a matrix in terms of powers of traces is presented. Then, some expansions for powers of determinants of positive definite matrices in terms of zonal polynomials are derived. By making use of these, the associated elliptical families of matrix-variate distributions are obtained and applied in the framework of statistical shape theory, through the determination of the central non-isotropic configuration density. Finally, a relationship between the determinant and the permanent of a matrix is obtained.enghttp://www.sciencedirect.com/science/article/pii/S0047259X12001765Journal of Multivariate Analysis, febrero de 2013, volume 114, issue 1, pp 29-39ScopusArticleinfo: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_16ecDepartamento de Ciencias Básicas, Universidad de Medellín, Medellín, ColombiaCentro de Investigación en Matemáticas, Monterrey, MexicoDepartment of Mathematics and Statistics, McMaster University, Hamilton, ON, CanadaCaro-Lopera F.J.Gonzalez-Farias G.Balakrishnan N.DeterminantElliptical distributionsPermanentStatistical shape theoryZonal and invariant polynomialsDeterminants, permanents and some applications to statistical shape theory11407/1370oai:repository.udem.edu.co:11407/13702020-05-27 15:39:56.998Repositorio Institucional Universidad de Medellinrepositorio@udem.edu.co |
| dc.title.english.eng.fl_str_mv |
Determinants, permanents and some applications to statistical shape theory |
| dc.contributor.affiliation.spa.fl_str_mv |
Departamento de Ciencias Básicas, Universidad de Medellín, Medellín, Colombia Centro de Investigación en Matemáticas, Monterrey, Mexico Department of Mathematics and Statistics, McMaster University, Hamilton, ON, Canada |
| dc.subject.keyword.eng.fl_str_mv |
Determinant Elliptical distributions Permanent Statistical shape theory Zonal and invariant polynomials |
| topic |
Determinant Elliptical distributions Permanent Statistical shape theory Zonal and invariant polynomials |
| spellingShingle |
Determinant Elliptical distributions Permanent Statistical shape theory Zonal and invariant polynomials |
| description |
A formula for the determinant of a matrix in terms of powers of traces is presented. Then, some expansions for powers of determinants of positive definite matrices in terms of zonal polynomials are derived. By making use of these, the associated elliptical families of matrix-variate distributions are obtained and applied in the framework of statistical shape theory, through the determination of the central non-isotropic configuration density. Finally, a relationship between the determinant and the permanent of a matrix is obtained. |
| publishDate |
2013 |
| dc.date.created.none.fl_str_mv |
2013 |
| 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.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 |
0047259X |
| dc.identifier.uri.none.fl_str_mv |
http://hdl.handle.net/11407/1370 |
| dc.identifier.doi.none.fl_str_mv |
10.1016/j.jmva.2012.07.008 |
| identifier_str_mv |
0047259X 10.1016/j.jmva.2012.07.008 |
| url |
http://hdl.handle.net/11407/1370 |
| dc.language.iso.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.isversionof.spa.fl_str_mv |
http://www.sciencedirect.com/science/article/pii/S0047259X12001765 |
| dc.relation.ispartofen.eng.fl_str_mv |
Journal of Multivariate Analysis, febrero de 2013, volume 114, issue 1, pp 29-39 |
| 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 |
| eu_rights_str_mv |
restrictedAccess |
| rights_invalid_str_mv |
http://purl.org/coar/access_right/c_16ec |
| 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_ |
1814159100784672768 |