Statistical theory of shape under elliptical models and singular value decompositions

The size-and-shape and shape distributions based on non-central and non-isotropic elliptical distributions are derived in this paper by using the singular value decomposition (SVD). The general densities require the computation of new integrals involving zonal polynomials. The invariance of the cent...

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Tipo de recurso:
Fecha de publicación:
2012
Institución:
Universidad de Medellín
Repositorio:
Repositorio UDEM
Idioma:
eng
OAI Identifier:
oai:repository.udem.edu.co:11407/1364
Acceso en línea:
http://hdl.handle.net/11407/1364
Palabra clave:
15A52
60E05
62E15
Maximum likelihood estimators
Non-central and non-isotropic shape density
Shape theory
Singular value decomposition
Zonal polynomials
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restrictedAccess
License
http://purl.org/coar/access_right/c_16ec
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network_name_str Repositorio UDEM
repository_id_str
spelling 2015-10-09T13:17:52Z2015-10-09T13:17:52Z20120047259Xhttp://hdl.handle.net/11407/136410.1016/j.jmva.2011.06.010The size-and-shape and shape distributions based on non-central and non-isotropic elliptical distributions are derived in this paper by using the singular value decomposition (SVD). The general densities require the computation of new integrals involving zonal polynomials. The invariance of the central shape distribution is also proved. Finally, some particular densities are applied in a classical data of Biology, and the inference based on exact distributions is performed after choosing the best model by using a modified BIC* criterion. © 2011 Elsevier Inc.enghttp://www.sciencedirect.com/science/article/pii/S0047259X11001229Journal of Multivariate Analysis, enero de 2012, volume 103, issue 1, pp 77-92ScopusStatistical theory of shape under elliptical models and singular value decompositionsArticleinfo: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_16ecUniversidad Autónoma Agraria Antonio Narro, Department of Statistics and Computation, 25315 Buenavista, Saltillo, Coahuila, MexicoUniversidad de Medellín, Department of Basic Sciences, Carrera 87 No.30-65, of. 5-103, Medellín, ColombiaDiaz-Garcia J.A.Caro-Lopera F.J.15A5260E0562E15Maximum likelihood estimatorsNon-central and non-isotropic shape densityShape theorySingular value decompositionZonal polynomialsTHUMBNAILportada.JPGportada.JPGimage/jpeg15651http://repository.udem.edu.co/bitstream/11407/1364/1/portada.JPGebbf533f3219936fe4bc6648a479c31eMD5111407/1364oai:repository.udem.edu.co:11407/13642020-05-27 16:21:02.171Repositorio Institucional Universidad de Medellinrepositorio@udem.edu.co
dc.title.eng.fl_str_mv Statistical theory of shape under elliptical models and singular value decompositions
title Statistical theory of shape under elliptical models and singular value decompositions
spellingShingle Statistical theory of shape under elliptical models and singular value decompositions
15A52
60E05
62E15
Maximum likelihood estimators
Non-central and non-isotropic shape density
Shape theory
Singular value decomposition
Zonal polynomials
title_short Statistical theory of shape under elliptical models and singular value decompositions
title_full Statistical theory of shape under elliptical models and singular value decompositions
title_fullStr Statistical theory of shape under elliptical models and singular value decompositions
title_full_unstemmed Statistical theory of shape under elliptical models and singular value decompositions
title_sort Statistical theory of shape under elliptical models and singular value decompositions
dc.contributor.affiliation.spa.fl_str_mv Universidad Autónoma Agraria Antonio Narro, Department of Statistics and Computation, 25315 Buenavista, Saltillo, Coahuila, Mexico
Universidad de Medellín, Department of Basic Sciences, Carrera 87 No.30-65, of. 5-103, Medellín, Colombia
dc.subject.keyword.eng.fl_str_mv 15A52
60E05
62E15
Maximum likelihood estimators
Non-central and non-isotropic shape density
Shape theory
Singular value decomposition
Zonal polynomials
topic 15A52
60E05
62E15
Maximum likelihood estimators
Non-central and non-isotropic shape density
Shape theory
Singular value decomposition
Zonal polynomials
description The size-and-shape and shape distributions based on non-central and non-isotropic elliptical distributions are derived in this paper by using the singular value decomposition (SVD). The general densities require the computation of new integrals involving zonal polynomials. The invariance of the central shape distribution is also proved. Finally, some particular densities are applied in a classical data of Biology, and the inference based on exact distributions is performed after choosing the best model by using a modified BIC* criterion. © 2011 Elsevier Inc.
publishDate 2012
dc.date.created.none.fl_str_mv 2012
dc.date.accessioned.none.fl_str_mv 2015-10-09T13:17:52Z
dc.date.available.none.fl_str_mv 2015-10-09T13:17:52Z
dc.type.eng.fl_str_mv Article
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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/11407/1364
dc.identifier.doi.none.fl_str_mv 10.1016/j.jmva.2011.06.010
identifier_str_mv 0047259X
10.1016/j.jmva.2011.06.010
url http://hdl.handle.net/11407/1364
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.isversionof.spa.fl_str_mv http://www.sciencedirect.com/science/article/pii/S0047259X11001229
dc.relation.ispartofen.eng.fl_str_mv Journal of Multivariate Analysis, enero de 2012, volume 103, issue 1, pp 77-92
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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
bitstream.url.fl_str_mv http://repository.udem.edu.co/bitstream/11407/1364/1/portada.JPG
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repository.name.fl_str_mv Repositorio Institucional Universidad de Medellin
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