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1、MULTIVARIATESTATISTICSWolfgangHardleäZden·ekHl¶avkaMultivariateStatistics:ExercisesandSolutions123..WolfgangHardleZden·ekHl¶avka..WirtschaftswissenschaftlicheFakultatlnstDept.Mathematics..StatistikundOkonometrieCharlesUniversityinPrague..Humboldt-UniversitatzuBerlin,
2、BerlinPrague1SpandauerStr.CzechRepublicBerlin1017883SokolovskaGermanyPraha818675stat@wiwi.hu-berlin.deLibraryofCongressControlNumber:2007929450ISBN978-0-387-70784-6e-ISBN978-0-387-73508-5Printedonacid-freepaper.c2007SpringerScience+BusinessMedia,LLCAllrightsreserved
3、.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(SpringerScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformation
4、storageandretrieval,elec-tronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressi
5、onofopinionastowhetherornottheyaresubjecttoproprietaryrights.987654321springer.comF¨urmeineFamilieM´erodinˇeToourfamiliesPrefaceTherecanbenoquestion,mydearWatson,ofthevalueofexercisebeforebreakfast.SherlockHolmesin“TheAdventureofBlackPeter”Thestatisticalanalysisofmul
6、tivariatedatarequiresavarietyoftechniquesthatareentirelydifferentfromtheanalysisofone-dimensionaldata.Thestudyofthejointdistributionofmanyvariablesinhighdimensionsinvolvesmatrixtechniquesthatarenotpartofstandardcurricula.Thesameistruefortrans-formationsandcomputer-int
7、ensivetechniques,suchasprojectionpursuit.Thepurposeofthisbookistoprovideasetofexercisesandsolutionstohelpthestudentbecomefamiliarwiththetechniquesnecessarytoanalyzehigh-dimensionaldata.Itisourbeliefthatlearningtoapplymultivariatestatisticsislikestudyingtheelementsofa
8、criminologicalcase.Tobecomeproficient,studentsmustnotsimplyfollowastandardizedprocedure,theymustcomposewithcreativitythepartsofthepu