A comparison of approaches for valid variogram achievement
Autor(a) principal: | |
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Data de Publicação: | 2005 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/1822/5809 |
Resumo: | Variogram estimation is a major issue for statistical inference of spatially correlated random variables. Most natural empirical estimators of the variogram cannot be used for this purpose, as they do not achieve the conditional negative-definite property. Typically, this problem's resolution is split into three stages: empirical variogram estimation; valid model selection; and model fitting. To accomplish these tasks, there are several different approaches strongly defended by their authors. Our work's main purpose was to identify these approaches and compare them based on a numerical study, covering different kind of spatial dependence situations. The comparisons are based on the integrated squared errors of the resulting valid estimators. Additionally, we propose an easily implementable empirical method to compare the main features of the estimated variogram function. |
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A comparison of approaches for valid variogram achievementSpatial dependenceEmpirical variogramValid modelFitting criteriaNon-parametric estimationScience & TechnologyVariogram estimation is a major issue for statistical inference of spatially correlated random variables. Most natural empirical estimators of the variogram cannot be used for this purpose, as they do not achieve the conditional negative-definite property. Typically, this problem's resolution is split into three stages: empirical variogram estimation; valid model selection; and model fitting. To accomplish these tasks, there are several different approaches strongly defended by their authors. Our work's main purpose was to identify these approaches and compare them based on a numerical study, covering different kind of spatial dependence situations. The comparisons are based on the integrated squared errors of the resulting valid estimators. Additionally, we propose an easily implementable empirical method to compare the main features of the estimated variogram function.SpringerUniversidade do MinhoMenezes, RaquelGarcía Soidán, PilarFebrero-Bande, Manuel20052005-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articletext/plainapplication/pdfhttp://hdl.handle.net/1822/5809eng"Computational statistics". ISSN 0943-4062. 20:4 (2005) 623-642.0943-406210.1007/BF02741319http://comst.wiwi.hu-berlin.de/20_4.htminfo: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:RCAAP2023-07-21T12:22:53Zoai:repositorium.sdum.uminho.pt:1822/5809Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:16:29.950401Repositório 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 comparison of approaches for valid variogram achievement |
title |
A comparison of approaches for valid variogram achievement |
spellingShingle |
A comparison of approaches for valid variogram achievement Menezes, Raquel Spatial dependence Empirical variogram Valid model Fitting criteria Non-parametric estimation Science & Technology |
title_short |
A comparison of approaches for valid variogram achievement |
title_full |
A comparison of approaches for valid variogram achievement |
title_fullStr |
A comparison of approaches for valid variogram achievement |
title_full_unstemmed |
A comparison of approaches for valid variogram achievement |
title_sort |
A comparison of approaches for valid variogram achievement |
author |
Menezes, Raquel |
author_facet |
Menezes, Raquel García Soidán, Pilar Febrero-Bande, Manuel |
author_role |
author |
author2 |
García 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 García Soidán, Pilar Febrero-Bande, Manuel |
dc.subject.por.fl_str_mv |
Spatial dependence Empirical variogram Valid model Fitting criteria Non-parametric estimation Science & Technology |
topic |
Spatial dependence Empirical variogram Valid model Fitting criteria Non-parametric estimation Science & Technology |
description |
Variogram estimation is a major issue for statistical inference of spatially correlated random variables. Most natural empirical estimators of the variogram cannot be used for this purpose, as they do not achieve the conditional negative-definite property. Typically, this problem's resolution is split into three stages: empirical variogram estimation; valid model selection; and model fitting. To accomplish these tasks, there are several different approaches strongly defended by their authors. Our work's main purpose was to identify these approaches and compare them based on a numerical study, covering different kind of spatial dependence situations. The comparisons are based on the integrated squared errors of the resulting valid estimators. Additionally, we propose an easily implementable empirical method to compare the main features of the estimated variogram function. |
publishDate |
2005 |
dc.date.none.fl_str_mv |
2005 2005-01-01T00:00:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/1822/5809 |
url |
http://hdl.handle.net/1822/5809 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
"Computational statistics". ISSN 0943-4062. 20:4 (2005) 623-642. 0943-4062 10.1007/BF02741319 http://comst.wiwi.hu-berlin.de/20_4.htm |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/plain application/pdf |
dc.publisher.none.fl_str_mv |
Springer |
publisher.none.fl_str_mv |
Springer |
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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1799132614608551936 |