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1、ThisarticleappearedinajournalpublishedbyElsevier.Theattachedcopyisfurnishedtotheauthorforinternalnon-commercialresearchandeducationuse,includingforinstructionattheauthorsinstitutionandsharingwithcolleagues.Otheruses,includingreproductionanddistribution,orsellingorl
2、icensingcopies,orpostingtopersonal,institutionalorthirdpartywebsitesareprohibited.Inmostcasesauthorsarepermittedtoposttheirversionofthearticle(e.g.inWordorTexform)totheirpersonalwebsiteorinstitutionalrepository.AuthorsrequiringfurtherinformationregardingElsevier’sa
3、rchivingandmanuscriptpoliciesareencouragedtovisit:http://www.elsevier.com/copyrightAuthor'spersonalcopyJ.Math.Anal.Appl.376(2011)282–293ContentslistsavailableatScienceDirectJournalofMathematicalAnalysisandApplicationswww.elsevier.com/locate/jmaaConditionalversionso
4、flimittheoremsforconditionallyassociatedrandomvariables✩De-MeiYuan∗,Yu-KunYangSchoolofMathematicsandStatistics,ChongqingTechnologyandBusinessUniversity,Chongqing400067,PRChinaarticleinfoabstractArticlehistory:Relationbetweenassociationandconditionalassociationisans
5、wered,severalexamplesReceived21November2009showthattheassociationofrandomvariablesdoesnotimplytheconditionalassociation,Availableonline22October2010andviceversa.SeveralfundamentalpropertiesofconditionalassociatedrandomvariablesSubmittedbyV.Pozdnyakovaredeveloped,wh
6、ichextendthecorrespondingonesunderthenon-conditioningsetup.Bymeansoftheseproperties,someconditionalHájek–Rényitypeinequalities,aconditionalKeywords:stronglawoflargenumbersandaconditionalcentrallimittheoremstatedintermsofConditionalassociationConditionalHájek–Rényit
7、ypeinequalityconditionalcharacteristicfunctionsareestablished,whichareconditionalversionsoftheConditionalstronglawoflargenumbersearlierresultsforassociatedrandomvariables,respectively.Inaddition,somelemmasinConditionalcentrallimittheoremthecontextareofindependentin
8、terest.©2010ElsevierInc.Allrightsreserved.1.IntroductionandexamplesLet(Ω,A,P)beaprobabilityspaceandallrandomvariablesinthispaperaredefinedonitunle
