简介：Hypothesistestingfortheparametriccomponentinthepartiallinearerrors-in-variables(EV)regressionmodelsisdiscussedinthispaper.Basedonthecorrectedprofileleastsquareestimator,fiveteststatisticsareproposedandtheasymptoticnulldistributionsofthemarededuced.Simulationshavebeendonetoshowtheperformanceoftheseteststatisticsundernullandalternativehypothesis.

简介：Inthispaper,weinvestigatethepropertiesofstronglycoapproximationinnormedlinearspacesandlo-cally,convexspaces.Therelationsbetweenstronglycoapproximationandstronglyuniqueapproximationandofthef-coapproximationandf-approximation,arealsoconsidered.

简介：LetGbeanonabelianfinitegroup.ThenIrr(G/G′)isanabeliangroupunderthemultiplicationofcharactersandactsonthesetofnon-linearirreduciblecharactersofGviathemultiplicationofcharacters.Thepurposeofthispaperistoestablishsomefactsabouttheactionoflinearcharactergrouponnon-linearirreduciblecharactersanddeterminethestructuresofgroupsGforwhicheitheralltheorbitkernelsaretrivialorthenumberoforbitsisatmosttwo.Usingtheestablishedresultsonthisaction,itisveryeasytoclassifygroupsGhavingatmostthreenomlinearirreduciblecharacters.

简介：由使用矩阵的向量方法，我们关于线性限制学习生长曲线模型。在矩阵损失功能和向量损失功能下面，我们在不同类的线性类上为参数的线性评估者的考虑获得必要、足够的条件。

简介：如果它用一个有限的核有一个纳什代表，一个纳什组被说几乎线性。结构和这些组的基本性质被学习。

简介：TheKurzweil-HenstockintegralformalismisappliedtoestablishtheexistenceofsolutionstothelinearintegralequationsofVolterra-typewherethefunctionsareBanach-spacevalued.SpecialtheoremsonexistenceofsolutionsconcerningtheLebesgu3integralsettingareobtained.Thesesharpenearlierresults.

简介：LetB(H)bethealgebraofalltheboundedlinearoperatorsonaHilbertspaceH.ForA,PandQinB(H),ifthereexistsanoperatorX∈B(H)suchthatAPXQA=A,XQAPX=X,(QAPX)*=QAPXand(XQAP)*=XQAP,thenXissaidtobetheΓ-inverseofAassociatedwithPandQ,anddenotedbyAP,Q+.Inthisnote,wepresentsomenecessaryandsu?cientconditionsforwhichA+P,Qexists,andgiveanexplicitrepresentationofAP,Q+(ifAP,Q+exists).

简介：Alineardirectedforestisadirectedgraphinwhicheverycomponentisadirectedpath.Thelineararboricityla（D）ofadigraphDistheminimumnumberoflineardirectedforestsinDwhoseunioncoversallarcsofD.Foreveryd-regulardigraphD,NakayamaandPerocheconjecturethatla（D）=d＋1.Inthispaper,weconsiderthelineararboricityforcompletesymmetricdigraphs,regulardigraphswithhighdirectedgirthandrandomregulardigraphsandweimprovesomewell-knownresults.

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简介：WeknowthatforacodeC,it‘sveryimportanttofindouttheAutomorphismgroupAutCofC.However,itisverydifficulttoseekentireAutC.Inthispaper,usingtheG.Iofmatricesoverafinitefield,wegiveseveralmethodstojudgewhetherapermutationσ∈S_n.(Symmetricgroup)belongstoAutCornot.Theyarehelpfulforthepurposetoex-

简介：ThispaperdiscussesthesolutionsofthelinearmatrixequationBTXB=Donsomelinearmanifolds.Somenecessaryandsufficientconditionsfortheexistenceofthesolutionandtheexpressionofthegeneralsolutionaregiven.Andalsosomeoptimalapproximationsolutionsarediscussed.

简介：ConsiderthepartitionedlinearregressionmodelA=(y,X1β1+X2β2,σ^2V)anditsfourreducedlinearmodels,whereyisann×1observablerandomvectorwithE(y)=XβanddispersionmatrixVar(y)=σ^2V,whereσ^2isanunknownpositivescalar,Visann×nknownsymmetricnonnegativedefinitematrix,X=(X1:X2)isann×(p+q)knowndesignmatrixwithrank(X)=r≤(p+q),andβ=(β'1:β'2)'withβ1andβ2beingp×1andq×1vectorsofunknownparameters,respectively.InthisarticletheformulaeforthedifferencesbetweenthebestlinearunbiasedestimatorsofM2X1β1underthemodelAanditsbestlinearunbiasedestimatorsunderthereducedlinearmodelsofAaregiven,whereM2=I-X2X2^+.Furthermore,thenecessaryandsufficientconditionsfortheequalitiesbetweenthebestlinearunbiasedestimatorsofM2X1β1underthemodelAandthoseunderitsreducedlinearmodelsareestablished.Lastly,wealsostudytheconnectionsbetweenthemodelAanditslineartransformationmodel.

简介：WeconsideraclassofABStypealgorithmsforsolvingsystemoflinearinequalities,wherethenumberofinequalitiesdoesnotexceedthenumberofvariables.

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简介：Foranarbitrarytensor(multi-indexarray)withlinearconstraintsateachdirection,itisprovedthatthefactorsofanyminimalcanonicaltensorapproximationtothistensorsatisfythesamelinearconstraintsforthecorrespondingdirections.

简介：Anewalgorithmispresentedforsolvingasystemoflinearinequalities.Startingatanypointbysolvingaleastsquaresproblemwecaneitherobtainafeasiblepointordeterminethatnosolutionexists.

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简介：在这份报纸，我们建议本地人的一个新方法为nonparametric的线性适应变光滑有条件的quantile回归。过程的一些理论性质被调查。然后，我们在一个模仿的例子上表明方法的表演并且把它与另外的方法作比较。模拟结果证明当内在的图象是线性的piecewise或能被如此的图象接近时，我们的方法的合理表演特别处于状况求婚了。一般来说，我们的方法在吝啬的方形的评价(MSE)和吝啬的绝对评价(MAE)的意义超过大多数另外的存在方法标准。过程关于增加噪音水平是很稳定的，算法能容易被用于更高维的状况。

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