简介:TheMTD(mixturetransitiondistribution)modelbasedonWeibulldistribution(WMTDmodel)isproposedinthispaper,whichisaimedatitsparameterestimation.AnEMalgorithmforestimationisgivenandshowntoworkwellbysomesimulations.Andbootstrapmethodisusedtoobtainconfidenceregionsfortheparameters.Finally,theresultsofarealexample-predictingstockprices-showthattheWMTDmodelproposedisabletocapturethefeaturesofthedatafromthick-taileddistributionbetterthanGMTD(mixturetransitiondistribution)model.
简介:Thisarticleinvestigatesthefractionalderivativeorderidentification,thecoefficientidentification,andthesourceidentificationinthefractionaldiffusionproblems.If1<α<2,weprovetheuniquedeterminationofthefractionalderivativeorderandthediffusioncoefficientp(x)by∫t0u(0,s)ds,0
简介:BasedonexactGreenstrainofspatialcurvedbeam,thenonlinearstrain-displacementrelationforplanecurvedbeamwithvaryingcurvatureisderived.Insteadofusingthepreviousstraightbeamelements,curvedbeamelementsareusedtoapproximatethecurvedbeamwithvaryingcurvature.Basedonvirtualworkprinciple,rigid-flexiblecouplingdynamicequationsareobtained.Physicalexperimentswerecarriedouttocapturethelargeoverallmotionandthestrainofcurvedbeamtoverifythepresentrigid-flexiblecouplingformulationforcurvedbeambasedoncurvedbeamelement.Numericalresultsobtainedfromsimulationswerecomparedwiththoseresultsfromthephysicalexperiments.Inordertoillustratetheeffectivenessofthecurvedbeamelementmethodology,thesimulationresultsofpresentcurvedbeamelementsarecomparedwiththoseobtainedbypreviousstraightbeamelements.Thedynamicbehaviorofaslider-crankmechanismwithaninitiallycurvedelasticconnectingrodisinvestigated.Theadvantageofemployinggeneralized-αmethodispointedoutandthespecialnonlineardynamiccharacteristicsofthecurvedbeamareconcluded.
简介:Inthispaper,thetheoremsconcerningthesummationofFourierserieswithparameteraregivenbyusingtheLaplacetransforms.BymeansoftheknownresultofLaplacetransforms,manynew,importantproblemsofsummationofFourierserieswithparameterinmechanicscanbesolved.
简介:ThispaperconstructsaclassofHarish-Chandramoduleswithmultiplicity<-1ofthetwoparameterdeformationofVirasoroalgebraandprovesaclassificationtheorem.
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简介:BasedontheFenlon‘stheorytheparametriceffectsinfluidsduetothenonlinearinteractionofalowfrequencypumpingwaveandahighfrequencyprobingwaveareanalysed.TheexpressionsofpressureamplitudeofsumordifferencefrequencysidebandandthefromulaofnonlinearityparameterB/Aforlossymediumarederived.Theoreticalcalculationdemonstrated,thatthesidebandcomponentsincreaselinearlywithpumpsignal.Therefore,amethodfordeterminationofB/Aisprovidedandtheval-uesforseveralbiologicalfluidsandmixturesaremeasured.
简介:Parameteridentificationproblemisoneofessentialprobleminordertomodeleffectivelyexperimentaldatabyfractalinterpolationfunction.Inthispaper,wefirstpresentanexampletoexplainarelationshipbetweeniterationprocedureandfractalfunction.Thenwediscussconditionsthatverticalscalingfactorsmustobeyinonetypicalcase.
简介:Veryrecently,Yu,LeandZhouintroducedthesocalledΔ*B1andΔ*B2conditions,whicharegeneralizationsofthemonotonecondition.Byapplyingthesetwonewconditions,theauthoressentiallygeneralizestheclassicalresultsofChenonthenecessaryandsufficientconditionsoftheLpintegrabilityoftrigonometricseries.Infact,thepresentpapergivesthefirstresultonthenecessaryandsufficientconditionsoftheLpintegrabilityoftrigonometricseries,wherecoefficientsmayhavediffierentsigns.
简介:Electricaldischargemachining(EDM)process,atpresentisstillanexperienceprocess,whereinselectedparametersareoftenfarfromtheoptimum,andatthesametimeselectingoptimizationparametersiscostlyandtimeconsuming.Inthispaper,artificialneuralnetwork(ANN)andgeneticalgorithm(GA)areusedtogethertoestablishtheparameteroptimizationmodel.AnANNmodelwhichadaptsLevenberg-Marquardtalgorithmhasbeensetuptorepresenttherelationshipbetweenmaterialremovalrate(MRR)andinputparameters,andGAisusedtooptimizeparameters,sothatoptimizationresultsareobtained.Themodelisshowntobeeffective,andMRRisimprovedusingoptimizedmachiningparameters.
简介:Robustparameterdesign(RPD)isanimportantissueinexperimentaldesigns.Ifallexperimentalrunscannotbeperformedunderhomogeneousconditions,blockingtheunitsisefective.Inthispaper,weobtainthecorrespondencerelationbetweenfractionalfactorialRPDsandtheblockingschemesforfullfactorialRPDs.Inaddition,weprovideaconstructionofoptimalblockingschemesthatmakeallmainefectsandcontrol-by-noisetwo-factorinteractionsestimable.
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简介:Inthispaper,weproposeadiscrepancyrule-basedmethodtoautomaticallychoosetheregularizationparametersfortotalvariationimagerestorationproblems.Theregularizationparametersareadjusteddynamicallyineachiteration.Numericalresultsareshowntoillustratetheperformanceoftheproposedmethod.
简介:Theboundedparameterestimationproblemanditssolutionleadtomoiemeaningfulresults.Itssuperiorperformanceisduetothefactthatthenewmethodguaranteesthattheeffectoftheuncertaintieswillneverbeunnecessarilyoverestimated.Wethenconsiderhowtoupdateanddowndatetheboundedparameterestimationproblem.WhenupdatinganddowndatingofSVDareusedtothenewproblem,specialtechnologiesaretakentoavoidformingUandVexplicitly,thenincreasethealgorithmperformance.BecauseofthelinkbetweentheboundedparameterestimationandTikhonovregularizationprocedure,wepointoutthatouralgorithmscanalsobeusedtomodifyregularizationproblem.