Diagonalization matrix and its application in distribution theory

Some matrix representations of diverse diagonal arrays are studied in this work; the results allow new definitions of classes of elliptical distributions indexed by kernels mixing Hadamard and usual products. A number of applications are derived in the setting of prior densities from the Bayesian mu...

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Fecha de publicación:
2015
Institución:
Universidad de Medellín
Repositorio:
Repositorio UDEM
Idioma:
eng
OAI Identifier:
oai:repository.udem.edu.co:11407/2283
Acceso en línea:
http://hdl.handle.net/11407/2283
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restrictedAccess
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http://purl.org/coar/access_right/c_16ec
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spelling 2016-06-23T14:01:38Z2016-06-23T14:01:38Z20152331888http://hdl.handle.net/11407/228310.1080/02331888.2015.1104312Some matrix representations of diverse diagonal arrays are studied in this work; the results allow new definitions of classes of elliptical distributions indexed by kernels mixing Hadamard and usual products. A number of applications are derived in the setting of prior densities from the Bayesian multivariate regression model and families of non-elliptical distributions, such as the matrix multivariate generalized Birnbaum–Saunders density. The philosophy of the research about matrix representations of quadratic and inverse quadratic forms can be extended as a methodology for exploring possible new applications in non-standard distributions, matrix transformations and inference.engTaylor and Francis Ltd.http://www.tandfonline.com/doi/abs/10.1080/02331888.2015.1104312?journalCode=gsta20Statistics 24 October 2015, 11pScopusDiagonalization matrix and its application in distribution theoryArticle in Pressinfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_2df8fbb1info:eu-repo/semantics/restrictedAccesshttp://purl.org/coar/access_right/c_16ecDepartment of Basic Sciences, Universidad de Medellín, Carrera 87 No.30-65, of. 5-103, Medellín, ColombiaUniversidad Autónoma Agraria Antonio Narro, Calzada Antonio Narro 1923, Col. Buenavista, 25315 Saltillo, Coahuila, MéxicoCaro-Lopera F.J.Díaz-García J.A.11407/2283oai:repository.udem.edu.co:11407/22832020-05-27 15:46:34.961Repositorio Institucional Universidad de Medellinrepositorio@udem.edu.co
dc.title.spa.fl_str_mv Diagonalization matrix and its application in distribution theory
title Diagonalization matrix and its application in distribution theory
spellingShingle Diagonalization matrix and its application in distribution theory
title_short Diagonalization matrix and its application in distribution theory
title_full Diagonalization matrix and its application in distribution theory
title_fullStr Diagonalization matrix and its application in distribution theory
title_full_unstemmed Diagonalization matrix and its application in distribution theory
title_sort Diagonalization matrix and its application in distribution theory
dc.contributor.affiliation.spa.fl_str_mv Department of Basic Sciences, Universidad de Medellín, Carrera 87 No.30-65, of. 5-103, Medellín, Colombia
Universidad Autónoma Agraria Antonio Narro, Calzada Antonio Narro 1923, Col. Buenavista, 25315 Saltillo, Coahuila, México
description Some matrix representations of diverse diagonal arrays are studied in this work; the results allow new definitions of classes of elliptical distributions indexed by kernels mixing Hadamard and usual products. A number of applications are derived in the setting of prior densities from the Bayesian multivariate regression model and families of non-elliptical distributions, such as the matrix multivariate generalized Birnbaum–Saunders density. The philosophy of the research about matrix representations of quadratic and inverse quadratic forms can be extended as a methodology for exploring possible new applications in non-standard distributions, matrix transformations and inference.
publishDate 2015
dc.date.created.none.fl_str_mv 2015
dc.date.accessioned.none.fl_str_mv 2016-06-23T14:01:38Z
dc.date.available.none.fl_str_mv 2016-06-23T14:01:38Z
dc.type.eng.fl_str_mv Article in Press
dc.type.coar.fl_str_mv 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/11407/2283
dc.identifier.doi.none.fl_str_mv 10.1080/02331888.2015.1104312
identifier_str_mv 2331888
10.1080/02331888.2015.1104312
url http://hdl.handle.net/11407/2283
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.isversionof.spa.fl_str_mv http://www.tandfonline.com/doi/abs/10.1080/02331888.2015.1104312?journalCode=gsta20
dc.relation.ispartofen.eng.fl_str_mv Statistics 24 October 2015, 11p
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 Taylor and Francis Ltd.
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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