On a Conjecture of an Invariance Principle for Sequences of Associated Random Variables-中国Betway体育网页登陆

摘要 Afinitecollectionofrandomvariables,X1}—,Xm,issaidtobeassociatedifanytwocoordinatewisenondecreasingfunctions/iand/aonRmsuchthatJt=fj(_Xi},Xm~)hasfinitevarianceforj=l,2,Oov(/i,_fa)>0;aninfinitecollectionissaidtobeassociatedifeveryfinitesubcollectionis.associated.Thustheconceptof'association'isintroducedasdependenceinprobability(Esary,ProschanandWalkup(1967)).Itisrelativetoalotofpracticalmodels,suchasthepercolationmodels,theIsingmodelsofstatisticalmechanics.Therefore,somepeopleare

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On a Conjecture of an Invariance Principle for Sequences of Associated Random Variables

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