Weak convergence in Lp(0,1) of the uniform empirical process under dependence

Detalhes bibliográficos
Autor(a) principal: Oliveira, P. E.
Data de Publicação: 1998
Outros Autores: Suquet, Ch.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/4666
https://doi.org/10.1016/s0167-7152(98)00091-1
Resumo: The weak convergence of the empirical process of strong mixing or associated random variables is studied in LP(0,1). We find minimal rates of convergence to zero of the mixing coefficients or the covariances, in either case, supposing stationarity of the underlying variables. The rates obtained improve, for p not too large, the corresponding results in the classical D(0,1) framework.
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spelling Weak convergence in Lp(0,1) of the uniform empirical process under dependenceAssociationEmpirical processStrong mixingTightnessThe weak convergence of the empirical process of strong mixing or associated random variables is studied in LP(0,1). We find minimal rates of convergence to zero of the mixing coefficients or the covariances, in either case, supposing stationarity of the underlying variables. The rates obtained improve, for p not too large, the corresponding results in the classical D(0,1) framework.http://www.sciencedirect.com/science/article/B6V1D-3V0YRMG-P/1/57f8afe05c176ecb40e47796e01f9da61998info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleaplication/PDFhttp://hdl.handle.net/10316/4666http://hdl.handle.net/10316/4666https://doi.org/10.1016/s0167-7152(98)00091-1engStatistics & Probability Letters. 39:4 (1998) 363-370Oliveira, P. E.Suquet, Ch.info: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:RCAAP2020-11-06T16:59:38Zoai:estudogeral.uc.pt:10316/4666Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:00:46.941744Repositório 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 Weak convergence in Lp(0,1) of the uniform empirical process under dependence
title Weak convergence in Lp(0,1) of the uniform empirical process under dependence
spellingShingle Weak convergence in Lp(0,1) of the uniform empirical process under dependence
Oliveira, P. E.
Association
Empirical process
Strong mixing
Tightness
title_short Weak convergence in Lp(0,1) of the uniform empirical process under dependence
title_full Weak convergence in Lp(0,1) of the uniform empirical process under dependence
title_fullStr Weak convergence in Lp(0,1) of the uniform empirical process under dependence
title_full_unstemmed Weak convergence in Lp(0,1) of the uniform empirical process under dependence
title_sort Weak convergence in Lp(0,1) of the uniform empirical process under dependence
author Oliveira, P. E.
author_facet Oliveira, P. E.
Suquet, Ch.
author_role author
author2 Suquet, Ch.
author2_role author
dc.contributor.author.fl_str_mv Oliveira, P. E.
Suquet, Ch.
dc.subject.por.fl_str_mv Association
Empirical process
Strong mixing
Tightness
topic Association
Empirical process
Strong mixing
Tightness
description The weak convergence of the empirical process of strong mixing or associated random variables is studied in LP(0,1). We find minimal rates of convergence to zero of the mixing coefficients or the covariances, in either case, supposing stationarity of the underlying variables. The rates obtained improve, for p not too large, the corresponding results in the classical D(0,1) framework.
publishDate 1998
dc.date.none.fl_str_mv 1998
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/10316/4666
http://hdl.handle.net/10316/4666
https://doi.org/10.1016/s0167-7152(98)00091-1
url http://hdl.handle.net/10316/4666
https://doi.org/10.1016/s0167-7152(98)00091-1
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Statistics & Probability Letters. 39:4 (1998) 363-370
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv aplication/PDF
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
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