简介：Researchonjumpregressionfunc(?)onshasnotbeenadequateyetAccordingtotheinformationaboutthenumberofjumps,theirpositionsandjumpmagnitudes,jumpregressionfunctionscanbeclassifiedintoeighttypes.Thispaperdealsespeciallywiththesecondjumpregressionfunction.Firstofall,aconceptoftrimmedsplineestimateisproposedandwithitanL~2-consistentestimateofthesmoothingpartofthejumpregressionfunctionisobtained.ThisalongwiththeL~2-consistentestimateofjumpmagnitudeconstitutesanestimateofthesecondjumpregressionfunction.Thispaperdiscussesalsothecasethatthejumppositionshavesomeindeterminacy.Anewcriterionissuggestedanditsuniquesolutionderived.Intheend,afewnumericalresultsaregiven.

简介：ＣＯＮＳＩＳＴＥＮＣＹＦＯＲＫＥＲＮＥＬＥＳＴＩＭＡＴＥＯＦＣＯＮＤＩＴＩＯＮＡＬＦＵＮＣＴＩＯＮ￥ＨＵＳｈｕｈｅ（ＤｅｐａｒｔｍｅｎｔＯｆＭａｔｈｅｍｏｔｉｃｓ，ＡｎｈｕｉＵｎｉｖｅｒｓｉｔｙ，Ｈｅｆｅｉ２３００３９，Ｃｈｉｎａ）Ａｂｓｔｒａｃｔ：...

简介：Inthispaper,thedefinitionsofBayesestimator,minimaxestimator,minimumriskequivariantestimatorandadmissibleestimatorunderthegeneralmatrixlossfunctionaregiven.Severalresultsonestimationofparameterswiththeordinarylossfunctionareextendedtothecaseofthematrixlossfunction.

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简介：Stronguniformconsistencyratesaregivenforkerneltypeestimatorsoftheconditionalfunctionwith（?）-mixingsample.Especially,fornonparametricestimatorsofkerneldensity,theregressionfunctionwhenYisbounded,conditionaldf’s,L-smoothingandM-smoothing,weobtainthesamerateO(（n/logn）-1/3)asinthei.i.d.sampleestablishedbyH（?）rdle,JanssenandSerfling.

简介：ＥＸＴＲＥＭＥＰＯＩＮＴＲＥＳＵＬＴＳＦＯＲＳＴＲＩＣＴＰＯＳＩＴＩＶＥＲＥＡＬＮＥＳＳＯＦＴＲＡＮＳＦＥＲＦＵＮＣＴＩＯＮＦＡＭＩＬＩＥＳＷＡＮＧＬｏｎｇ；ＨＵＡＮＧＬｉｎ（ＤｏｐａｒｔｍｅｎｔｏｆＭｅｃｈａｎｉｃｓ，ＰｅｋｉｎｇＵｎｉｖｅｒｓｉｔ...

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简介：BasedontheanalysisoftheproblemsintraditionalGPmodel,thispaperprovidesthemodelwiththeutilityfunctionofthedecision-makerandcomparesthismodelwiththeonepresentedinreferencearticle[1].