symmetry studies (cambridge series in statistical and probabilistic mathematics)

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1、ThispageintentionallyleftblankP1:JZZCUUS182-Main.texCUUS182/Viana9780521841030April28,200815:21SymmetryStudiesExperimentaldatacanoftenbeassociatedwithorindexedbycertainsymmetricallyinterestingstructuresorsetsoflabelsthatappear,forexample,inthestudyofshortsymbolicsequ

2、encesinmolecularbiology,inpreferenceorvotingdata,invisualfieldandcornealtopographyarrays,orinexperimentalrefractiveoptics.Thesymmetrystudiesintroducedinthisbookdescribetheinterplayamongsymmetrytransformationsthatarecharacteristicofthesesetsoflabels,theresultingalgebra

3、icdecompositionofthedatathatareindexedbythem,andtheresearchquestionsthatareinducedbythosetransformations.Theoverallpurposeistofacilitateandguidethestatisticalstudyofthestructureddatafrombothadescriptiveandinferentialperspective.Thetextcombinesnotionsofalgebraandstati

4、sticsanddevelopsasystematicmethodologytobetterexplorethemanydifferentdata-analyticapplicationsofsymmetry.P1:JZZCUUS182-Main.texCUUS182/Viana9780521841030April28,200815:21CAMBRIDGESERIESINSTATISTICALANDPROBABILISTICMATHEMATICSEditorialBoard:R.Gill,DepartmentofMathemat

5、ics,UtrechtUniversityB.D.Ripley,DepartmentofStatistics,UniversityofOxfordS.Ross,EpsteinDepartmentofIndustrial&SystemsEngineering,UniversityofSouthernCaliforniaB.W.Silverman,St.PetersCollege,OxfordM.Stein,DepartmentofStatistics,UniversityofChicagoThisseriesofhigh-qual

6、ityupper-divisiontextbooksandexpositorymonographscoversallaspectsofstochasticapplicablemathematics.Thetopicsrangefrompureandappliedstatisticstoprobabilitytheory,operationsresearch,optimization,andmathematicalpro-gramming.Thebookscontainclearpresentationsofnewdevelopm

7、entsinthefieldandalsoofthestateoftheartinclassicalmethods.Whileemphasizingrigoroustreatmentoftheoreticalmethods,thebooksalsocontainapplicationsanddiscussionsofnewtechniquesmadepossiblebyadvancesincomputationalpractice.AlreadyPublished1.BootstrapMethodsandTheirApplicat

8、ion,byA.C.DavisonandD.V.Hinkley2.MarkovChains,byJ.Norris3.AsymptoticStatistics,byA.W.vanderVaart4.WaveletMethodsforTimeSeriesAnalys