A kernel variogram estimator for clustered data

Detalhes bibliográficos
Autor(a) principal: Menezes, Raquel
Data de Publicação: 2008
Outros Autores: Garcia-Soidán, Pilar, Febrero-Bande, Manuel
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/49153
Resumo: The variogram provides an important method for measuring the dependence of attribute values between spatial locations. Suppose that the nature of the sampling process leads to the presence of clustered data; it would be advisable to use a variogram estimator that aims to adjust for clustering of samples. In this setting, the use of a non-parametric weighted estimator, obtained by considering an inverse weight to a given neighbourhood density combined with the kernel method, seems to have a satisfactory behaviour in practice. This paper pursues a theoretical study of the cluster robust estimator, by proving that it is asymptotically unbiased as well as consistent and by providing criteria for selection of the bandwidth parameter and the neighbourhood radius. Numerical studies are also included to illustrate the performance of the considered estimator and the suggested approaches.
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spelling A kernel variogram estimator for clustered dataClusterIsotropyKernel methodVariogramScience & TechnologyThe variogram provides an important method for measuring the dependence of attribute values between spatial locations. Suppose that the nature of the sampling process leads to the presence of clustered data; it would be advisable to use a variogram estimator that aims to adjust for clustering of samples. In this setting, the use of a non-parametric weighted estimator, obtained by considering an inverse weight to a given neighbourhood density combined with the kernel method, seems to have a satisfactory behaviour in practice. This paper pursues a theoretical study of the cluster robust estimator, by proving that it is asymptotically unbiased as well as consistent and by providing criteria for selection of the bandwidth parameter and the neighbourhood radius. Numerical studies are also included to illustrate the performance of the considered estimator and the suggested approaches.info:eu-repo/semantics/publishedVersionBlackwell PublishingUniversidade do MinhoMenezes, RaquelGarcia-Soidán, PilarFebrero-Bande, Manuel2008-03-012008-03-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/49153eng0303-689810.1111/j.1467-9469.2007.00566.xinfo: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:RCAAP2023-07-21T12:51:18Zoai:repositorium.sdum.uminho.pt:1822/49153Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:50:11.115399Repositório 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 A kernel variogram estimator for clustered data
title A kernel variogram estimator for clustered data
spellingShingle A kernel variogram estimator for clustered data
Menezes, Raquel
Cluster
Isotropy
Kernel method
Variogram
Science & Technology
title_short A kernel variogram estimator for clustered data
title_full A kernel variogram estimator for clustered data
title_fullStr A kernel variogram estimator for clustered data
title_full_unstemmed A kernel variogram estimator for clustered data
title_sort A kernel variogram estimator for clustered data
author Menezes, Raquel
author_facet Menezes, Raquel
Garcia-Soidán, Pilar
Febrero-Bande, Manuel
author_role author
author2 Garcia-Soidán, Pilar
Febrero-Bande, Manuel
author2_role author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Menezes, Raquel
Garcia-Soidán, Pilar
Febrero-Bande, Manuel
dc.subject.por.fl_str_mv Cluster
Isotropy
Kernel method
Variogram
Science & Technology
topic Cluster
Isotropy
Kernel method
Variogram
Science & Technology
description The variogram provides an important method for measuring the dependence of attribute values between spatial locations. Suppose that the nature of the sampling process leads to the presence of clustered data; it would be advisable to use a variogram estimator that aims to adjust for clustering of samples. In this setting, the use of a non-parametric weighted estimator, obtained by considering an inverse weight to a given neighbourhood density combined with the kernel method, seems to have a satisfactory behaviour in practice. This paper pursues a theoretical study of the cluster robust estimator, by proving that it is asymptotically unbiased as well as consistent and by providing criteria for selection of the bandwidth parameter and the neighbourhood radius. Numerical studies are also included to illustrate the performance of the considered estimator and the suggested approaches.
publishDate 2008
dc.date.none.fl_str_mv 2008-03-01
2008-03-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/49153
url http://hdl.handle.net/1822/49153
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0303-6898
10.1111/j.1467-9469.2007.00566.x
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Blackwell Publishing
publisher.none.fl_str_mv Blackwell Publishing
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
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