Estimation in additive models and ANOVA-like applications

Detalhes bibliográficos
Autor(a) principal: Antunes, Patrícia
Data de Publicação: 2020
Outros Autores: Ferreira, Sandra S., Ferreira, Dário, Nunes, Célia, Mexia, João 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/10400.6/9061
Resumo: A well-known property of cumulant generating function is used to estimate the first four order cumulants, using least-squares estimators. In the case of additive models, empirical best linear unbiased predictors are also obtained. Pairs of independent and identically distributed models associated with the treatments of a base design are used to obtain unbiased estimators for the fourth-order cumulants. An application to real data is presented, showing the good behaviour of the least-squares estimators and the great flexibility of our approach.
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spelling Estimation in additive models and ANOVA-like applicationsANOVACumulantsLinear modelsMomentsA well-known property of cumulant generating function is used to estimate the first four order cumulants, using least-squares estimators. In the case of additive models, empirical best linear unbiased predictors are also obtained. Pairs of independent and identically distributed models associated with the treatments of a base design are used to obtain unbiased estimators for the fourth-order cumulants. An application to real data is presented, showing the good behaviour of the least-squares estimators and the great flexibility of our approach.uBibliorumAntunes, PatríciaFerreira, Sandra S.Ferreira, DárioNunes, CéliaMexia, João T.2020-02-06T11:30:24Z20202020-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/9061eng10.1080/02664763.2020.1723501info: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:RCAAP2023-12-15T09:49:40Zoai:ubibliorum.ubi.pt:10400.6/9061Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:49:18.254183Repositório 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 Estimation in additive models and ANOVA-like applications
title Estimation in additive models and ANOVA-like applications
spellingShingle Estimation in additive models and ANOVA-like applications
Antunes, Patrícia
ANOVA
Cumulants
Linear models
Moments
title_short Estimation in additive models and ANOVA-like applications
title_full Estimation in additive models and ANOVA-like applications
title_fullStr Estimation in additive models and ANOVA-like applications
title_full_unstemmed Estimation in additive models and ANOVA-like applications
title_sort Estimation in additive models and ANOVA-like applications
author Antunes, Patrícia
author_facet Antunes, Patrícia
Ferreira, Sandra S.
Ferreira, Dário
Nunes, Célia
Mexia, João T.
author_role author
author2 Ferreira, Sandra S.
Ferreira, Dário
Nunes, Célia
Mexia, João T.
author2_role author
author
author
author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Antunes, Patrícia
Ferreira, Sandra S.
Ferreira, Dário
Nunes, Célia
Mexia, João T.
dc.subject.por.fl_str_mv ANOVA
Cumulants
Linear models
Moments
topic ANOVA
Cumulants
Linear models
Moments
description A well-known property of cumulant generating function is used to estimate the first four order cumulants, using least-squares estimators. In the case of additive models, empirical best linear unbiased predictors are also obtained. Pairs of independent and identically distributed models associated with the treatments of a base design are used to obtain unbiased estimators for the fourth-order cumulants. An application to real data is presented, showing the good behaviour of the least-squares estimators and the great flexibility of our approach.
publishDate 2020
dc.date.none.fl_str_mv 2020-02-06T11:30:24Z
2020
2020-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.6/9061
url http://hdl.handle.net/10400.6/9061
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1080/02664763.2020.1723501
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dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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