Inference for L orthogonal models

Detalhes bibliográficos
Autor(a) principal: Ferreira, Sandra Saraiva
Data de Publicação: 2009
Outros Autores: Ferreira, Dário, Moreira, Elsa, Mexia, João Tiago
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
DOI: 10.1080/09720502.2009.10700666
Texto Completo: https://doi.org/10.1080/09720502.2009.10700666
Resumo: A mixed model Yo = ∑m i=1 Xiβi + ∑i=m+1 w Xiβ̃ + e is orthogonal when the matrices Mi = XiXi T, i = 1,...,w, commute. The vectors βc1 1,...,βcm m are fixed vectors and the βcm+1 m+1,...,βcw w and en are random. For these models we have very interesting results namely we have UMVUE for the relevant parameters when normality is assumed. We now intend to generalize that class of models taking Y = L(∑i=1 mXiβi + ∑i=m+1 w Xiβ̃ + e with L a matrix whose column vectors are linearly independent.
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spelling Inference for L orthogonal modelsCommutative jordan algebrasMixed modelNormal orthogonal modelsAnalysisApplied MathematicsA mixed model Yo = ∑m i=1 Xiβi + ∑i=m+1 w Xiβ̃ + e is orthogonal when the matrices Mi = XiXi T, i = 1,...,w, commute. The vectors βc1 1,...,βcm m are fixed vectors and the βcm+1 m+1,...,βcw w and en are random. For these models we have very interesting results namely we have UMVUE for the relevant parameters when normality is assumed. We now intend to generalize that class of models taking Y = L(∑i=1 mXiβi + ∑i=m+1 w Xiβ̃ + e with L a matrix whose column vectors are linearly independent.DM - Departamento de MatemáticaRUNFerreira, Sandra SaraivaFerreira, DárioMoreira, ElsaMexia, João Tiago2019-07-16T22:45:47Z2009-12-012009-12-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10application/pdfhttps://doi.org/10.1080/09720502.2009.10700666eng0972-0502PURE: 14035719http://www.scopus.com/inward/record.url?scp=84890089375&partnerID=8YFLogxKhttps://doi.org/10.1080/09720502.2009.10700666info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-05-22T17:40:20Zoai:run.unl.pt:10362/75688Portal AgregadorONGhttps://www.rcaap.pt/oai/openairemluisa.alvim@gmail.comopendoar:71602024-05-22T17:40:20Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Inference for L orthogonal models
title Inference for L orthogonal models
spellingShingle Inference for L orthogonal models
Inference for L orthogonal models
Ferreira, Sandra Saraiva
Commutative jordan algebras
Mixed model
Normal orthogonal models
Analysis
Applied Mathematics
Ferreira, Sandra Saraiva
Commutative jordan algebras
Mixed model
Normal orthogonal models
Analysis
Applied Mathematics
title_short Inference for L orthogonal models
title_full Inference for L orthogonal models
title_fullStr Inference for L orthogonal models
Inference for L orthogonal models
title_full_unstemmed Inference for L orthogonal models
Inference for L orthogonal models
title_sort Inference for L orthogonal models
author Ferreira, Sandra Saraiva
author_facet Ferreira, Sandra Saraiva
Ferreira, Sandra Saraiva
Ferreira, Dário
Moreira, Elsa
Mexia, João Tiago
Ferreira, Dário
Moreira, Elsa
Mexia, João Tiago
author_role author
author2 Ferreira, Dário
Moreira, Elsa
Mexia, João Tiago
author2_role author
author
author
dc.contributor.none.fl_str_mv DM - Departamento de Matemática
RUN
dc.contributor.author.fl_str_mv Ferreira, Sandra Saraiva
Ferreira, Dário
Moreira, Elsa
Mexia, João Tiago
dc.subject.por.fl_str_mv Commutative jordan algebras
Mixed model
Normal orthogonal models
Analysis
Applied Mathematics
topic Commutative jordan algebras
Mixed model
Normal orthogonal models
Analysis
Applied Mathematics
description A mixed model Yo = ∑m i=1 Xiβi + ∑i=m+1 w Xiβ̃ + e is orthogonal when the matrices Mi = XiXi T, i = 1,...,w, commute. The vectors βc1 1,...,βcm m are fixed vectors and the βcm+1 m+1,...,βcw w and en are random. For these models we have very interesting results namely we have UMVUE for the relevant parameters when normality is assumed. We now intend to generalize that class of models taking Y = L(∑i=1 mXiβi + ∑i=m+1 w Xiβ̃ + e with L a matrix whose column vectors are linearly independent.
publishDate 2009
dc.date.none.fl_str_mv 2009-12-01
2009-12-01T00:00:00Z
2019-07-16T22:45:47Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://doi.org/10.1080/09720502.2009.10700666
url https://doi.org/10.1080/09720502.2009.10700666
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0972-0502
PURE: 14035719
http://www.scopus.com/inward/record.url?scp=84890089375&partnerID=8YFLogxK
https://doi.org/10.1080/09720502.2009.10700666
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 10
application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv mluisa.alvim@gmail.com
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dc.identifier.doi.none.fl_str_mv 10.1080/09720502.2009.10700666

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