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1、SamEfromovichNonparametricCurveEstimationMethods,Theory,andAppUcationsWith130FiguresSpringerSamEfromovichDepartmentofMathematicsandStatisticsUniversityofNewMexicoAlbuquerque,NM87131-1141USALibraryofCongressCataloging-in-PublicationDataEfromovich,Sam.Nonparamet
2、riccurveestimation:methods,theory,andapplications/SamEfromovich.p.cm.—(Springerseriesinstatistics)Includesbibliographicalreferencesandindex.ISBN0-387-98740-1(hardcover)1.Nonparametricstatistics.2.Estimationtheory.1.Title.II.Series.QA278.8.E351999519.5—dc2199-1
3、3253©1999Springer-VerlagNewYork,Inc.Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(Springer-VerlagNewYork,Inc.,175FifthAvenue,NewYork,NY10010,USA),exceptforbriefexcerptsinconnectionwithreviewsorscho
4、larlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhere-afterdevelopedisforbidden.Theuseofgeneraldescriptivenames,tradenames,trademarks,etc.,inthispublicati
5、on,eveniftheformerarenotespeciallyidentified,isnottobetakenasasignthatsuchnames,asunderstoodbytheTradeMarksandMerchandiseMarksAct,mayaccordinglybeusedfreelybyanyone.ISBN0-387-98740-1Springer-VerlagNewYorkBerlinHeidelbergSPIN10709119TomyparentsPrefaceAppropriat
6、eforaone-semestercourse,thisself-containedbookisanin-troductiontononparametriccurveestimationtheory.Itmaybeusedforteachinggraduatestudentsinstatistics(inthiscaseanintermediatecourseinstatisticalinference,onthelevelofthebookbyCasellaandBerger(1990),istheprerequ
7、isite)aswellasfordiverseclasseswithstudentsfromothersciencesincludingengineering,business,social,medical,andbiolog-icalamongothers(inthiscaseatraditionalintermediatecalculuscourseplusanintroductorycourseinprobability,onthelevelofthebookbyRoss(1997),aretheprere
8、quisites).Thereareseveraldistinguishingfeaturesofthisbookthatshouldbehighlighted:-Allbasicstatisticalmodels,includingprobabilitydensityestimation,non-parametricregression,timeserie
