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Further remarks on permissible covariance structures for simultaneous retention of BLUEs in linear models

cris.virtual.author-orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtual.author-orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
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cris.virtualsource.author-orcide9e0b41e-e4f0-4842-94d4-95738eaea207
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dc.affiliationWydział Rolnictwa, Ogrodnictwa i Biotechnologii
dc.affiliation.instituteKatedra Metod Matematycznych i Statystycznych
dc.contributor.authorHaslett, Stephen J.
dc.contributor.authorIsotalo, Jarkko
dc.contributor.authorMarkiewicz, Augustyn
dc.contributor.authorPuntanen, Simo
dc.date.access2024-08-06
dc.date.accessioned2024-08-01T09:51:23Z
dc.date.available2024-08-01T09:51:23Z
dc.date.copyright2023-05-28
dc.date.issued2023
dc.description.abstract<jats:p>We consider the partitioned linear model  M12(V0) = { y, X1β1 + X2 β2, V0 } and the corresponding small model  M1(V0) = { y, X1β1 , V0 } . We define the set V1/12 of nonnegative definite matrices V such that every representation of the best linear unbiased estimator, BLUE, of μ1 = X1β1 under M12(V0) remains BLUE under M12(V) . Correspondingly, we can characterize the set V1 of matrices V such that every BLUE of μ1 = X1β1 under M1(V0) remains BLUE under M1(V). In this paper we focus on the mutual relations between the sets V1 and V1/12 .</jats:p>
dc.description.accesstimeat_publication
dc.description.bibliographybibliogr.
dc.description.financepublication_nocost
dc.description.financecost0,00
dc.description.if0,3
dc.description.number1
dc.description.points20
dc.description.reviewreview
dc.description.versionfinal_published
dc.description.volume27
dc.identifier.doi10.12697/ACUTM.2023.27.09
dc.identifier.eissn2228-4699
dc.identifier.issn1406-2283
dc.identifier.urihttps://sciencerep.up.poznan.pl/handle/item/1605
dc.identifier.weblinkhttp://ojs.utlib.ee/index.php/ACUTM/article/view/ACUTM.2023.27.09/17072
dc.languageen
dc.relation.ispartofActa et Commentationes Universitatis Tartuensis de Mathematica
dc.relation.pages101-112
dc.rightsCC-BY-NC-ND
dc.sciencecloudsend
dc.subject.enBest linear unbiased estimator
dc.subject.enBLUE
dc.subject.encovariance matrix
dc.subject.enequality of the BLUEs
dc.subject.enpartitioned linear model
dc.titleFurther remarks on permissible covariance structures for simultaneous retention of BLUEs in linear models
dc.typeJournalArticle
dspace.entity.typePublication
oaire.citation.issue1
oaire.citation.volume27
project.funder.nameb.d.