bayesian logical data analysis for the physical sciences with mathematica support - p. gregory

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1、ThispageintentionallyleftblankBayesianLogicalDataAnalysisforthePhysicalSciencesTMAComparativeApproachwithMathematicaSupportIncreasingly,researchersinmanybranchesofsciencearecomingintocontactwithBayesianstatisticsorBayesianprobabilitytheory.Byencompassingbothinductiveanddeducti

2、velogic,Bayesiananalysiscanimprovemodelparameterestimatesbymanyordersofmagnitude.Itprovidesasimpleandunifiedapproachtoalldataanalysisproblems,allowingtheexperimentertoassignprobabilitiestocompetinghypothesesofinterest,onthebasisofthecurrentstateofknowledge.Thisbookprovidesacle

3、arexpositionoftheunderlyingconceptswithlargenumbersofworkedexamplesandproblemsets.ThebookalsodiscussesnumericaltechniquesforimplementingtheBayesiancalculations,includinganintroductiontoMarkovchainMonteCarlointegrationandlinearandnonlinearleast-squaresanalysisseenfromaBayesianp

4、erspective.Inaddition,backgroundmaterialisprovidedinappendicesandsupportingMathematicanotebooksareavailablefromwww.cambridge.org/052184150X,providinganeasylearningrouteforupper-undergraduate,graduatestudents,oranyseriousresearcherinphysicalsciencesorengineering.PHILGREGORYisPr

5、ofessorEmeritusattheDepartmentofPhysicsandAstronomyattheUniversityofBritishColumbia.BayesianLogicalDataAnalysisforthePhysicalSciencesTMAComparativeApproachwithMathematicaSupportP.C.GregoryDepartmentofPhysicsandAstronomy,UniversityofBritishColumbiaCambri

6、dge,NewYork,Melbourne,Madrid,CapeTown,Singapore,SãoPauloCambridgeUniversityPressTheEdinburghBuilding,Cambridge,UKPublishedintheUnitedStatesofAmericabyCambridgeUniversityPress,NewYorkwww.cambridge.orgInformationonthistitle:www.cambridge.org/9780521841504©CambridgeUniversi

7、tyPress2005Thisbookisincopyright.Subjecttostatutoryexceptionandtotheprovisionofrelevantcollectivelicensingagreements,noreproductionofanypartmaytakeplacewithoutthewrittenpermissionofCambridgeUniversityPress.Firstpublishedinprintformat2005-----eBook(NetLibrary

8、)----eBook(NetLibrary)-----