简介:Itiswellknownthatwhentherandomerrorsareiid.withfinitevariance,theweekandthestrongconsistencyofLSestimateofmultipleregressioncoefficientsareequivalent.Thisnote,byconstructingacounter-example,showsthatthisequivalencenolongerholdstrueincasethattherandomerrorspossessonlyther-thmomentwith1≤r<2.
简介:Inthispaper,wepresentsomeiterativemethodsforsolvinglthorderautoregressivemodels,proveglobalconvergenceforl=1case,andthenumericalresultsofnewalgorithmsseemtobemoreefficientthantheonesofCochrane-Orcuttiterativemethod.
简介:AniterativemethodofDeJong,GreigandMadan(1985)forobtainingmaximumlikelihoodestimatesforcontingencytablesderivedfromaMover-Stayermodelisconsidered.Itisshownthatthismethodworksforothersamplingschemesleadingtoincompletecontingencytables.Moreover,compar-isonsindicatethatthemethodisveryfast.
简介:InthispaperweintroducetwokindsofparallelSchwarzdomaindecompositionmethodsforgeneral,selfadjoint,secondorderparabolicequationsandstudythedependenceoftheirconvergenceratesonparametersoftime-stepandspace-mesh.Weprovethatthe,approximatesolutionhasconvergenceindependentofiterationtimesateachtime-level.AndtheL~2errorestimatesaregiven.
简介:Inthispaper,adesigntoestimateclimatenoiseofannualmeantemperaturehasbeenmadebymeansofthemini-muminterannualvarianceandeffectivelyindependentobservationsintimeseries.Byusingittheclimatenoisesofannu-almeansurfaceairtemperatureshavebeenestimatedbasedonthedatafrom1960to1991inthiscountry.Thelowval-uesofclimatenoisesofannualmeantemperaturesarefoundinthesoutheasternTibetPlateau,Yunnan,theSichuanBa-sinandsouthofthemiddleandlowerreachesoftheChangjiangRiverValley.ThehighvaluesareseeninthenorthwesternandnortheasternChinaandtherestoftheTibetPlateau.ArelativelylowvalueregionisinthesouthernXinjiang.
简介:ThispaperconsidersthepointwiseestimateofthesolutionstoCauchyproblemforquasilin-earhyperbolicsystems,whichbasesontheexistenceofthesolutionsbyusingthefundamentalsolutions.Itgivesasharppointwiseestimatesofthesolutionsondomainunderconsideration.Specially,theestimateispreciseneareachcharacteristicdirection.
简介:Afiniteelementasymptoticanalysisfordeterminingthelowerbounddynamicbucklingestimatesofimperfection-sensitivestructuresundersteploadofinfinitedurationispresented.Thelowerbounddynamicbucklingloadsandthecorrespondingdisplacementsaresoughtintheformofasymptoticexpansionsbasedonthestaticstabilitycriterionandtheycanbedeterminedbysolvingnumerically(FEM)severallinearproblemswithasinglenonsingularsub-stiffnessmatrix.
简介:Letbethecollectionofm-timescontinuouslydifferentiableprobabilitydensitiesfonRdsuchthat丨Daf(x1)-Daf(x2)丨≤M‖x1-x2‖βforx1,x2∈Rd,[a]=m,whereDadenotesthedifferentialoperatordefinedbyDa=([a])/(x1a…xdad).UnderratherweakconditionsonK(x),thenecessaryandsufficientconditionsforsup丨n(x)-f(x)丨=0(((logn/n)λ/(d+3λ),λ=m+β,f∈arethat∫xaK(xi)dx=0for0<[a]≤m.Finallytheconvergencorateatapointisgiven.