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简介：Twodiagnosticsarepresentedforthetransformationofexplanatoryvariablesinregression.OneisbasedonthelikelihooddisplacementproposedbyCookandWeisberg(1982)forassessingtheinfluenceofindividualcasesonthemaximumlikelihoodestimateofatransformationparameter.Theotherisbasedonthelocalin-fluencetheoryproposedbyCook(1986)forassessingtheinfluenceofsmallperturba-tionsontheparameterestimates.Computationsarcperformedforadatasettoillus-tratetheusefulnessofthesediagnostics.

简介：ThispapercontainstheKolmogorov-Prokhorovexponentialinequalitiesfordependentrandomvariables,i.e.,forφ-mixing,ρ--mixingandα--mixing.Asanapplication,thelawofiteratedlogarithmisestablishedforstationaryα--mixingsequenceunderanearlybestassumption.

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简介：Inthispaperithasbeensystematicallystudiedtheimbeddingpropertiesoffractionalintegraloperatorsofperiodicfunctionsofseveralvariables,andisomorphicpropertiesoffractionalintregraloperatorsinthespacesofLipschitzcontinuousfunctions.Ithasalsobeenprovedthatthespaceoffractionalintegration,thespaceofLipschitzcontinuousfunctionsandtheSobolevspaceareidenticalinL~2-norm.Resultsobtainedherearenottrueforfractionalintegrals(orRieszpotentials)inR~n.

简介：ＳＯＭＥＩＮＴＥＧＲＡＬＩＮＥＱＵＡＬＩＴＩＥＳＩＮＮＩＮＤＥＰＥＮＤＥＮＴＶＡＲＩＡＢＬＥＳＹＡＮＧＥＮＨＡＯ（杨恩浩）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｔｃｓ，ＪｉｎａｎＵｎｉｖｅｒｓｉｔｙ，Ｇｎａｎｇｚｈｏｕ５１Ｏ６３２，Ｃｈｉｎａ）Ａ...

简介：Inthispaper,weconsiderthesimultaneousrepresentationofpairsofintegersaslinearcombinationsinthreeprimevariablesandobtainarelatednumericalbound.

简介：GivenacontinuousfunctionfdefinedontheunitcubeofRnandaconvexfunctiont,t（0）-0,t（x）>0,forx>0,weprovethatthesetofbestLt-approximationsbymonotonefunctionshasexactlyoneelementft,whichisalsoacontinuousfunction.Moreoverifthefamilyofconvexfunctions{t}t>0convergesuniformlyoncompactsetstoafunction0,thenthebestapproximationft→f0uniformly,ast→0,wherefoisthebestapproximationoffwithintheOrliczspaceL0Thebestapproxima-tions{ft}areobtainedaswellasminimizingintegralsortheLuxemburgnorm

简介：Aunicitytheoremconcerningthetotalderivativeforentirefunctionsofseveralcomplexvariablesisproved.

简介：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

简介：Thetailprobabilityinequalitiesforthesumofindependentunboundedrandomvariablesonaprobabilityspace(Ω,T,P)werestudiedandanewmethodwasproposedtotreatthesumofindependentunboundedrandomvariablesbytruncatingtheoriginalprobabilityspace(Ω,T,P).Theprobabilityexponentialinequalitiesforsumsofindependentunboundedrandomvariablesweregiven.Asapplicationsoftheresults,someinterestingexamplesweregiven.Theexamplesshowthatthemethodproposedinthepaperandtheresultsofthepaperarequiteusefulinthestudyofthelargesamplepropertiesofthesumsofindependentunboundedrandomvariables.

简介：<正>Inthispaper,westudytheboundednessandcompactnessofcompositionoperatorContheBlochspaceβ（Ω）,Ωbeingaboundedhomogeneousdomain.ForΩ=Bn,wegivethenecessaryandsufficientconditionsforacompositionoperatorCtobecompactonβ（Bn）orβ0（Bn）.

简介：Intheflatcase,theanswertotheproblemposedbySteenbrinkandZuckerisgiven.

简介：为解决一个维的时间检验动人的网孔方法依赖部分微分方程。微分代数学的明确的表达的介绍基于几何变量；数字途径的well-posedness的调查；某详细数字过程的讨论。

简介：Inthispaper,byprovidingsomedifferentconditionsrespecttoanotherworks,weshallpresenttworesultsonabsoluteretractivityofsomesetsrelatedtosomemultifunctionsoftheformF:X×X→Pb,cl(X),oncompletemetricspaces.

简介：Let{Xn,n≥1}beasequenceofα-stablerandomvariables(0

简介：Someproblemsintheoptimaltopologydesignofstructureswithdiscretevariablesarestudiedinthispaper.Theproblemofamodelofdiscreteoptimizationisdiscussedandaneglectedfactthatdiscreteoptimumdesignmaybecontrolledbythediscretenessofsizingvariablesandglobalcon-straintsispointedout.Aheuristicalgorithmforsolvingdiscretetopologyoptimizationproblemsoftrussesandframesisproposed.

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简介：在现在的纸，我们学习几个复杂变量的分析函数的多项式近似。几个复杂变量的分析功能的概括类型的描述以近似和插值错误被获得了。