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剑桥概率和统计:自助法及其应用
Wedecidedtotrytowriteabalancedaccountofresamplingmethods,toincludebasicaspectsofthetheorywhichunderpinnedthemethods,andtoshowasmanyapplicationsaswecouldinordertoillustratethefunpotentialofthemethods-wartsandalLWequicklyrealizedthatinorderforuSandotherstounderstandandusethebootstrap,wewouldneedsuitablesoftware,andproducingitledusfurthertowardsapracticallyorientedtreatment.0urviewwascementedbytwofurtherdevelopments:theappearanceoftwoexcellentbooks,onebvPIeterHallontheasymptotictheoryandtheotheronbasicmethodsbvBradleyEfronandRobertTibshirani;andthechancetogivefurthercoursesthatincludedpracticals.Ourexperiencehasbeenthathands-oncomputingisessentialincomingtogripswithresamplingideas,sowehaveincludedpracticalsinthisbooLaswellasmoretheoreticalproblems.
Preface1Introduction2TheBasicBootstraps2.1Introduction2.2ParametricSimulation2.3NonparametricSimulation2.4SimpleContidenceIntervais2.5RedudngError2.6StatisticalIssues2.7NonparametricApproximationsforVarianceandBias2.8SubsamplingMethods2.9BibliographicNotes2.10Problems2.11Practicals3FurtherIdess3.1Introduction3.2SeveralSamples3.3SereiparametricModels3.4SmoothEstimatesofF3.5Censoring3.6MissingData3.7FinitePopulationSampling3.8HierarchicalData3.9BootstrappingtheBootstrap3.10BootstrapDiagnostics3.11ChoiceofEstimatorfromtheData3.12BibliographicNotes3.13Problems3.14Practicals4Tests4.1Introduction4.2ResampfingforParametricTEsts4.3NonparametricPermutafionTests4.4NonparametricBootstrapTests4.5AdjustedP-valnes4.6EstimatingPropertiesofTests4.7BibliographicNotes4.8Problems4.9Practicals5Confidencelatervals5.1Introduction5.2BasicConfideneeLimitMethods5.3PercentileMethods5.4TheoroticalComparisonofMethods5.5InversionofSignificanceTcsts5.6DoublcBootstrapMethods5.7EmpiricalComparisonofBoot~rapMethod5.8MultiparameterMethods5.9ConditionalConfidenceRegions5.10Prediction5.11BibliographicNotes5.12problems5.13Practicals6LiaearRegression6.1Introduction6.2LeastSquaresLinearRegression6.3MultipleLinearRegression6.4AggregatePredictionErrorandVariableSelection6.5RobustRegression6.6BibliographicNotes6.7Problems6.8Pracdcals7FartherTopicsinRegression7.1Introduction7.2GeneralizedLinearModds7.3SurvivalData7.4OtherNonlinearModels7.5MisclassifieationError7.6NonparametricRegression7.7BibliographicNotes7.8Problems7.9Practicals8ComplexDependence8.1Introduction8.2TimeSeries8.3PointProcesses8.4BibliographicNotes8.5Problems8.6Practicals9ImprovedCalculation9.1Introduction9.2BalancedBootaraps9.3ControIMethods9.4ImportanceResanling9.5SaddlepointApproximation9.6BibliographicNotes9.7Problems9.8Practicals10SemiparametrieLikelihoodInference10.1LiIcelihood10.2Multinoimal-BasedLikelihoods10.3BootstrapLikelihood10.4LikelihoodBasedonConfidenceSets10.5BayesianBootstraps10.6BibfiographicNotes10.7Problems10.8Practicals12ComputerImplementation11.1Introduction11.2BasicBootstraps11.3FurtherIdeas11.4Tests11.5ConfidenceIntervals11.6LinearRegression11.7FurtherTopicsinRegression11.8TimeSeries11.9ImprovedSimulation11.10SemiparametricLikelihoodsAppendixA.CumulaatCalcalatioasBibliographyNameIndexExampleindexSubjectindex
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