Models with commutative orthogonal block structure: a general condition for commutativity

Detalhes bibliográficos
Autor(a) principal: Santos, C.
Data de Publicação: 2020
Outros Autores: Nunes, C., Dias, C., Mexia, J. T.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10362/99910
Resumo: This work was partially supported by national founds of FCT-Foundation for Science and Technology under UID/MAT/00297/2019 and UID/MAT/00212/2019.
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spelling Models with commutative orthogonal block structure: a general condition for commutativityThis work was partially supported by national founds of FCT-Foundation for Science and Technology under UID/MAT/00297/2019 and UID/MAT/00212/2019.A linear mixed model whose variance-covariance matrix is a linear combination of known pairwise orthogonal projection matrices that add to the identity matrix, is a model with orthogonal block structure (OBS). OBS have estimators with good behavior for estimable vectors and variance components, moreover it may be interesting that the least squares estimators give the best linear unbiased estimators, for estimable vectors. We can achieve it, requiring commutativity between the orthogonal projection matrix, on the space spanned by the mean vector, and the orthogonal projection matrices involved in the expression of the variance-covariance matrix. This commutativity condition defines a more restrict class of OBS, named COBS (model with commutative orthogonal block structure). With this work we aim to present a commutativity condition, resorting to a special class of matrices, named U-matrices.CMA - Centro de Matemática e AplicaçõesDM - Departamento de MatemáticaRUNSantos, C.Nunes, C.Dias, C.Mexia, J. T.2020-06-24T23:29:33Z20202020-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10application/pdfhttp://hdl.handle.net/10362/99910eng0266-4763PURE: 18107292https://doi.org/10.1080/02664763.2020.1765322info: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:RCAAP2024-03-11T04:46:37Zoai:run.unl.pt:10362/99910Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:39:16.940601Repositório 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 Models with commutative orthogonal block structure: a general condition for commutativity
title Models with commutative orthogonal block structure: a general condition for commutativity
spellingShingle Models with commutative orthogonal block structure: a general condition for commutativity
Santos, C.
title_short Models with commutative orthogonal block structure: a general condition for commutativity
title_full Models with commutative orthogonal block structure: a general condition for commutativity
title_fullStr Models with commutative orthogonal block structure: a general condition for commutativity
title_full_unstemmed Models with commutative orthogonal block structure: a general condition for commutativity
title_sort Models with commutative orthogonal block structure: a general condition for commutativity
author Santos, C.
author_facet Santos, C.
Nunes, C.
Dias, C.
Mexia, J. T.
author_role author
author2 Nunes, C.
Dias, C.
Mexia, J. T.
author2_role author
author
author
dc.contributor.none.fl_str_mv CMA - Centro de Matemática e Aplicações
DM - Departamento de Matemática
RUN
dc.contributor.author.fl_str_mv Santos, C.
Nunes, C.
Dias, C.
Mexia, J. T.
description This work was partially supported by national founds of FCT-Foundation for Science and Technology under UID/MAT/00297/2019 and UID/MAT/00212/2019.
publishDate 2020
dc.date.none.fl_str_mv 2020-06-24T23:29:33Z
2020
2020-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10362/99910
url http://hdl.handle.net/10362/99910
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0266-4763
PURE: 18107292
https://doi.org/10.1080/02664763.2020.1765322
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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