简介:<正>Thispaperconsiderstheadmissibilityoftheestimatorsforfinitepopulationwhentheparameterspaceisrestricted.Weobtainalladmissiblelinearestimatorsofanarbitrarylinearfunctionofcharacteristicvaluesofafinitepopulationintheclassoflinearestimatorsunderthecriterionoftheexpectationofmeansouarederror.
简介:LetAandBbeC^*-algebras,SupposethatKisthealgebraofallcompactoperatoraonaseperableHilbertspace,andαisanactiononthestablealgebraκ×AinducedbySU(∞).ItisprovedthatifAisα-invariantstableisomorphictoB1thenthereisa^*-isomorphismbetweenAandB.AnanalogousresultisobtainedbyconsideringOn×κ×Aintheplaceofκ×A,whereOnistheCuntsalgebra(3≤n<∞)。
简介:Aniterationmethodofstatisticlinearization(IMSL)ispresented.Bythismethod,anequivalentlineartermwasformedingeometricrelationandthenanequivalentstiffnessmatrixfornonlinearterminvibrationequationwasestablished.Usingthemethodtosolvethestatisticlinearvibrationequations,theeffectofgeometricnonlinearityontherandomresponseofrotationalshellisobtained.
简介:Semiparametrictransformationmodelsprovideaclassofflexiblemodelsforregressionanalysisoffailuretimedata.Severalauthorshavediscussedthemunderdifferentsituationswhencovariatesaretimeindependent(Chenetal.,2002;Chengetal.,1995;Fineetal.,1998).Inthispaper,weconsiderfittingthesemodelstoright-censoreddatawhencovariatesaretime-dependentlongitudinalvariablesand,furthermore,maysuffermeasurementerrors.Forestimation,weinvestigatethemaximumlikelihoodapproach,andanEMalgorithmisdeveloped.Simulationresultsshowthattheproposedmethodisappropriateforpracticalapplication,andanillustrativeexampleisprovided.
简介:<正>WestudythesolvabilityoftheCauchyproblem(1.1)-(1.2)forthelargestpossibleclassofinitialvalues,forwhich(1.1)-(1.2)hasalocalsolution.Moreover,wealsostudythecriticalcaserelatedtotheinitialvalueu0,for1