Marcinkiewicz strong laws for linear statistics of rho*-mixing sequences of random variables

Detalhes bibliográficos
Autor(a) principal: Cai,Guang-Hui
Data de Publicação: 2006
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Anais da Academia Brasileira de Ciências (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652006000400001
Resumo: Strong laws are established for linear statistics that are weighted sums of a random sample. We show extensions of the Marcinkiewicz-Zygmund strong laws under certain moment conditions on both the weights and the distribution. These not only generalize the result of Bai and Cheng (2000, Statist Probab Lett 46: 105-112) to rho*-mixing sequences of random variables, but also improve them.
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spelling Marcinkiewicz strong laws for linear statistics of rho*-mixing sequences of random variablesrho*-mixingMarcinkiewicz-Zygmund strong lawsweighted sumsStrong laws are established for linear statistics that are weighted sums of a random sample. We show extensions of the Marcinkiewicz-Zygmund strong laws under certain moment conditions on both the weights and the distribution. These not only generalize the result of Bai and Cheng (2000, Statist Probab Lett 46: 105-112) to rho*-mixing sequences of random variables, but also improve them.Academia Brasileira de Ciências2006-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652006000400001Anais da Academia Brasileira de Ciências v.78 n.4 2006reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/S0001-37652006000400001info:eu-repo/semantics/openAccessCai,Guang-Huieng2006-11-28T00:00:00Zoai:scielo:S0001-37652006000400001Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2006-11-28T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv Marcinkiewicz strong laws for linear statistics of rho*-mixing sequences of random variables
title Marcinkiewicz strong laws for linear statistics of rho*-mixing sequences of random variables
spellingShingle Marcinkiewicz strong laws for linear statistics of rho*-mixing sequences of random variables
Cai,Guang-Hui
rho*-mixing
Marcinkiewicz-Zygmund strong laws
weighted sums
title_short Marcinkiewicz strong laws for linear statistics of rho*-mixing sequences of random variables
title_full Marcinkiewicz strong laws for linear statistics of rho*-mixing sequences of random variables
title_fullStr Marcinkiewicz strong laws for linear statistics of rho*-mixing sequences of random variables
title_full_unstemmed Marcinkiewicz strong laws for linear statistics of rho*-mixing sequences of random variables
title_sort Marcinkiewicz strong laws for linear statistics of rho*-mixing sequences of random variables
author Cai,Guang-Hui
author_facet Cai,Guang-Hui
author_role author
dc.contributor.author.fl_str_mv Cai,Guang-Hui
dc.subject.por.fl_str_mv rho*-mixing
Marcinkiewicz-Zygmund strong laws
weighted sums
topic rho*-mixing
Marcinkiewicz-Zygmund strong laws
weighted sums
description Strong laws are established for linear statistics that are weighted sums of a random sample. We show extensions of the Marcinkiewicz-Zygmund strong laws under certain moment conditions on both the weights and the distribution. These not only generalize the result of Bai and Cheng (2000, Statist Probab Lett 46: 105-112) to rho*-mixing sequences of random variables, but also improve them.
publishDate 2006
dc.date.none.fl_str_mv 2006-12-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652006000400001
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652006000400001
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0001-37652006000400001
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Academia Brasileira de Ciências
publisher.none.fl_str_mv Academia Brasileira de Ciências
dc.source.none.fl_str_mv Anais da Academia Brasileira de Ciências v.78 n.4 2006
reponame:Anais da Academia Brasileira de Ciências (Online)
instname:Academia Brasileira de Ciências (ABC)
instacron:ABC
instname_str Academia Brasileira de Ciências (ABC)
instacron_str ABC
institution ABC
reponame_str Anais da Academia Brasileira de Ciências (Online)
collection Anais da Academia Brasileira de Ciências (Online)
repository.name.fl_str_mv Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)
repository.mail.fl_str_mv ||aabc@abc.org.br
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