The statistical shape theory via QR decomposition and based on Gaussian and isotropic models is extended in this paper to the families of non-isotropic elliptical distributions. The new shape distributions are easily computable and then the inference procedure can be studied with the resulting exact...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2014
- Institución:
- Universidad de Medellín
- Repositorio:
- Repositorio UDEM
- Idioma:
- eng
- OAI Identifier:
- oai:repository.udem.edu.co:11407/1344
- Acceso en línea:
- http://hdl.handle.net/11407/1344
- Palabra clave:
- maximum likelihood estimators
non-central and non-isotropic shape density
QR decomposition
shape theory
zonal polynomials
- Rights
- restrictedAccess
- License
- http://purl.org/coar/access_right/c_16ec
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2015-10-09T13:17:48Z2015-10-09T13:17:48Z20142331888http://hdl.handle.net/11407/134410.1080/02331888.2013.801973The statistical shape theory via QR decomposition and based on Gaussian and isotropic models is extended in this paper to the families of non-isotropic elliptical distributions. The new shape distributions are easily computable and then the inference procedure can be studied with the resulting exact densities. An application in Biology is studied under two Kotz models, the best distribution (non-Gaussian) is selected by using a modified Bayesian information criterion (BIC)*. © 2013 © 2013 Taylor & Francis.enghttp://www.scopus.com/inward/record.url?eid=2-s2.0-84892745443&partnerID=40&md5=2fadf0e458641ede8dccfa26895be5c6Statistics, 2014, volume 48, issue 2, pp 456-472ScopusArticleinfo: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 Autónoma, Agraria Antonio Narro, 25350 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.maximum likelihood estimatorsnon-central and non-isotropic shape densityQR decompositionshape theoryzonal polynomialsStatistical theory of shape under elliptical models via QR decomposition11407/1344oai:repository.udem.edu.co:11407/13442020-05-27 15:58:20.073Repositorio Institucional Universidad de Medellinrepositorio@udem.edu.co |
| dc.title.english.eng.fl_str_mv |
Statistical theory of shape under elliptical models via QR decomposition |
| dc.contributor.affiliation.spa.fl_str_mv |
Department of Statistics and Computation, Universidad Autónoma, Agraria Antonio Narro, 25350 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 |
maximum likelihood estimators non-central and non-isotropic shape density QR decomposition shape theory zonal polynomials |
| topic |
maximum likelihood estimators non-central and non-isotropic shape density QR decomposition shape theory zonal polynomials |
| spellingShingle |
maximum likelihood estimators non-central and non-isotropic shape density QR decomposition shape theory zonal polynomials |
| description |
The statistical shape theory via QR decomposition and based on Gaussian and isotropic models is extended in this paper to the families of non-isotropic elliptical distributions. The new shape distributions are easily computable and then the inference procedure can be studied with the resulting exact densities. An application in Biology is studied under two Kotz models, the best distribution (non-Gaussian) is selected by using a modified Bayesian information criterion (BIC)*. © 2013 © 2013 Taylor & Francis. |
| publishDate |
2014 |
| dc.date.created.none.fl_str_mv |
2014 |
| dc.date.accessioned.none.fl_str_mv |
2015-10-09T13:17:48Z |
| dc.date.available.none.fl_str_mv |
2015-10-09T13:17:48Z |
| 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 |
2331888 |
| dc.identifier.uri.none.fl_str_mv |
http://hdl.handle.net/11407/1344 |
| dc.identifier.doi.none.fl_str_mv |
10.1080/02331888.2013.801973 |
| identifier_str_mv |
2331888 10.1080/02331888.2013.801973 |
| url |
http://hdl.handle.net/11407/1344 |
| dc.language.iso.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.isversionof.spa.fl_str_mv |
http://www.scopus.com/inward/record.url?eid=2-s2.0-84892745443&partnerID=40&md5=2fadf0e458641ede8dccfa26895be5c6 |
| dc.relation.ispartofen.eng.fl_str_mv |
Statistics, 2014, volume 48, issue 2, pp 456-472 |
| 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.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_ |
1814159131821473792 |