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On mean central limit theorems for stationary sequences

hal.structure.identifierLaboratoire de Statistique Théorique et Appliquée [LSTA]
dc.contributor.authorDEDECKER, Jérôme
hal.structure.identifierAdvanced Learning Evolutionary Algorithms [ALEA]
hal.structure.identifierLaboratoire de Mathématiques de Versailles [LMV]
dc.contributor.authorRIO, Emmanuel
dc.date.created2008-08-22
dc.date.issued2008
dc.identifier.issn0246-0203
dc.description.abstractEnIn this paper, we give estimates of the minimal ${\mathbb{L}}^1$ distance between the distribution of the normalized partial sum and the limiting Gaussian distribution for stationary sequences satisfying projective criteria in the style of Gordin or weak dependence conditions.
dc.language.isoen
dc.publisherInstitut Henri Poincaré (IHP)
dc.title.enOn mean central limit theorems for stationary sequences
dc.typeArticle de revue
dc.identifier.doi10.1214/07-AIHP117
dc.subject.halMathématiques [math]/Probabilités [math.PR]
dc.identifier.arxiv0808.3048
bordeaux.journalAnnales de l'Institut Henri Poincaré (B) Probabilités et Statistiques
bordeaux.page693-726
bordeaux.volume44
bordeaux.issue4
bordeaux.peerReviewedoui
hal.identifierhal-00672866
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00672866v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Annales%20de%20l'Institut%20Henri%20Poincar%C3%A9%20(B)%20Probabilit%C3%A9s%20et%20Statistiques&rft.date=2008&rft.volume=44&rft.issue=4&rft.spage=693-726&rft.epage=693-726&rft.eissn=0246-0203&rft.issn=0246-0203&rft.au=DEDECKER,%20J%C3%A9r%C3%B4me&RIO,%20Emmanuel&rft.genre=article


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