Elliptical affine shape distributions for real normed division algebras

The statistical affine shape theory is set in this work in the context of real normed division algebras. The general densities apply for every field: real, complex, quaternion, octonion, and for any noncentral and non-isotropic elliptical distribution; then the separated published works about real a...

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Fecha de publicación:
2016
Institución:
Universidad de Medellín
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Repositorio UDEM
Idioma:
eng
OAI Identifier:
oai:repository.udem.edu.co:11407/2278
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http://hdl.handle.net/11407/2278
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spelling 2016-06-23T14:01:36Z2016-06-23T14:01:36Z20160047259Xhttp://hdl.handle.net/11407/227810.1016/j.jmva.2015.11.003The statistical affine shape theory is set in this work in the context of real normed division algebras. The general densities apply for every field: real, complex, quaternion, octonion, and for any noncentral and non-isotropic elliptical distribution; then the separated published works about real and complex shape distributions can be obtained as corollaries by a suitable selection of the field parameter and univariate integrals involving the generator elliptical function. As a particular case, the complex normal affine density is derived and applied in brain magnetic resonance scans of normal and schizophrenic patients.engAcademic Press Inc.http://www.sciencedirect.com/science/article/pii/S0047259X15002717Journal of Multivariate Analysis Volume 144, February 2016, Pages 139–149ScopusElliptical affine shape distributions for real normed division algebrasArticleinfo: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, Calzada Antonio Narro 1923, Col. Buenavista, Saltillo, Coahuila, MexicoDepartment of Basic Sciences, Universidad de Medellín, Carrera 87 No.30-65, of. 5-103, Medellín, ColombiaDíaz-García J.A.Caro-Lopera F.J.11407/2278oai:repository.udem.edu.co:11407/22782020-05-27 18:33:19.278Repositorio Institucional Universidad de Medellinrepositorio@udem.edu.co
dc.title.spa.fl_str_mv Elliptical affine shape distributions for real normed division algebras
title Elliptical affine shape distributions for real normed division algebras
spellingShingle Elliptical affine shape distributions for real normed division algebras
title_short Elliptical affine shape distributions for real normed division algebras
title_full Elliptical affine shape distributions for real normed division algebras
title_fullStr Elliptical affine shape distributions for real normed division algebras
title_full_unstemmed Elliptical affine shape distributions for real normed division algebras
title_sort Elliptical affine shape distributions for real normed division algebras
dc.contributor.affiliation.spa.fl_str_mv Universidad Autónoma Agraria Antonio Narro, Calzada Antonio Narro 1923, Col. Buenavista, Saltillo, Coahuila, Mexico
Department of Basic Sciences, Universidad de Medellín, Carrera 87 No.30-65, of. 5-103, Medellín, Colombia
description The statistical affine shape theory is set in this work in the context of real normed division algebras. The general densities apply for every field: real, complex, quaternion, octonion, and for any noncentral and non-isotropic elliptical distribution; then the separated published works about real and complex shape distributions can be obtained as corollaries by a suitable selection of the field parameter and univariate integrals involving the generator elliptical function. As a particular case, the complex normal affine density is derived and applied in brain magnetic resonance scans of normal and schizophrenic patients.
publishDate 2016
dc.date.accessioned.none.fl_str_mv 2016-06-23T14:01:36Z
dc.date.available.none.fl_str_mv 2016-06-23T14:01:36Z
dc.date.created.none.fl_str_mv 2016
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/11407/2278
dc.identifier.doi.none.fl_str_mv 10.1016/j.jmva.2015.11.003
identifier_str_mv 0047259X
10.1016/j.jmva.2015.11.003
url http://hdl.handle.net/11407/2278
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.isversionof.spa.fl_str_mv http://www.sciencedirect.com/science/article/pii/S0047259X15002717
dc.relation.ispartofen.eng.fl_str_mv Journal of Multivariate Analysis Volume 144, February 2016, Pages 139–149
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.publisher.spa.fl_str_mv Academic Press Inc.
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
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