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Statistical Inference(统计推断)第二版

《Statistical Inference(统计推断)第二版》课后答案

  • 更新:2021-06-27
  • 大小:22.3 MB
  • 类别:统计
  • 作者:[美]雷奥奇·卡塞拉/George、Ca
  • 出版:机械工业出版社
  • 格式:PDF

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书籍介绍

《统计推断》(英文版)(原书第2版)从概率论的基础开始,通过例子与习题的旁征博引,引进了大量近代统计处理的新技术和一些国内同类教材中不能见而广为使用的分布。其内容包括工科概率论入门、经典统计和现代统计的基础,又加进了不少近代统计中数据处理的实用方法和思想,例如:Bootstrap再抽样法、刀切(Jackknife)估计、EM算法、Logistic回归、稳健(Robust)回归、Markov链、MonteCarlo方法等。它的统计内容与国内流行的教材相比,理论较深,模型较多,案例的涉及面要广,理论的应用面要丰富,统计思想的阐述与算法更为具体。

目录

  • 1probabilitytheory
  • 1.1settheory
  • 1.2basicsofprobabilitytheory
  • 1.2.1axiomaticfoundations
  • 1.2.2thecalculusofprobabilities
  • 1.2.3counting
  • 1.2.4enumeratingoutcomes
  • 1.3conditionalprobabilityandindependence
  • 1.4randomvariables
  • 1.5distributionfunctions
  • 1.6densityandmassfunctions
  • 1.7exercises
  • 1.8miscellaneatransformationsandexpectations
  • 2.1distributionsoffunctionsofarandomvariab]e
  • 2.2expectedvalues
  • 2.3momentsandmomentgeneratingfunctions
  • 2.4differentiatingunderanintegralsign
  • 2.5exercises
  • 2.6miscellaneacommonfamiliesofdistributions
  • 3.1introduction
  • 3.2discretedistributions
  • 3.3continuousdistributions
  • 3.4exponentialfamilies
  • 3.5locationandscalefamiliesinequalitiesandidentities
  • 3.6.1probabilityinequalities
  • 3.6.2identities
  • 3.7exercises
  • 3.8miscellanea
  • 4multiplerandomvariables
  • 4.1jointandmarginaldistributions
  • 4.2conditionaldistributionsandindependence
  • 4.3bivariatetransformations
  • 4.4hierarchicalmodelsandmixturedistributions
  • 4.5covarianceandcorrelation
  • 4.6multivariatedistributions
  • 4.7inequalities
  • 4.7.1numericalinequalities
  • 4.7.2functionalinequalities
  • 4.8exercises
  • 4.9miscellaneapropertiesofarandomsample
  • 5.1basicconceptsofrandomsamples
  • 5.2sumsofrandomvariablesfromarandomsample
  • 5.3samplingfromthenormaldistribution
  • 5.3.1propertiesofthesamplemeanandvariance
  • 5.3.2thederiveddistributions:student'standsnedecor'sf
  • 5.4orderstatistics
  • 5.5convergenceconcepts
  • 5.5.1convergenceinprobability
  • 5.5.2almostsureconvergence
  • 5.5.3convergenceindistribution
  • 5.5.4thedeltamethod
  • 5.6generatingarandomsample
  • 5.6.1directmethods
  • 5.6.2indirectmethods
  • 5.6.3theaccept/rejectalgorithm
  • 5.7exercises
  • 5.8miscellaneaprinciplesofdatareduction
  • 6.1introduction
  • 6.2thesufficiencyprinciple
  • 6.2.1sufficientstatistics
  • 6.2.2minimalsufficientstatistics
  • 6.2.3ancillarystatistics
  • 6.2.4sufficient,ancillary,andcompletestatistics
  • 6.3thelikelihoodprinciple
  • 6.3.1thelikelihoodfunction
  • 6.3.2theformallikelihoodprinciple
  • 6.4theequivarianceprinciple
  • 6.5exercises
  • 6.6miscellanea
  • pointestimation
  • 7.1introduction
  • 7.2methodsoffindingestimators
  • 7.2.1methodofmoments
  • 7.2.2maximumlikelihoodestimators
  • 7.2.3bayesestimators
  • 7.2.4theemalgorithm
  • 7.3methodsofevaluatingestimators
  • 7.3.1meansquarederror
  • 7.3.2bestunbiasedestimators
  • 7.3.3sufficiencyandunbiasedness
  • 7.3.4lossfunctionoptimality
  • 7.4exercises
  • 7.5miscellaneahypothesistesting
  • 8.1introduction
  • 8.2methodsoffindingtests
  • 8.2.1likelihoodratiotests
  • 8.2.2bayesiantests
  • 8.2.3union-intersectionandintersection-uniontests
  • 8.3methodsofevaluatingtests
  • 8.3.1errorprobabilitiesandthepowerfunction
  • 8.3.2mostpowerfultests
  • 8.3.3sizesof.union-intersectionandintersection-uniontests
  • 8.3.4p-values
  • 8.3.5lossfunctionoptimality
  • 8.4exercises
  • 8.5miscellanea
  • intervalestimation
  • 9.1introduction
  • 9.2methodsoffindingintervalestimators
  • 9.2.1invertingateststatistic
  • 9.2.2pivotalquantities
  • 9.2.3pivotingthecdf
  • 9.2.4bayesianintervals
  • 9.3methodsofevaluatingintervalestimators
  • 9.3.1sizeandcoverageprobability
  • 9.3.2test-relatedoptimality
  • 9.3.3bayesianoptimality
  • 9.3.4lossfunctionoptimality
  • 9.4exercises
  • 9.5miscellanea
  • 10asymptoticevaluations
  • 10.1pointestimation
  • 10.1.1consistency
  • 10.1.2efficiency
  • 10.1.3calculationsandcomparisons
  • 10.1.4bootstrapstandarderrors
  • 10.2robustness
  • 10.2.1themeanandthemedian
  • 10.2.2m-estimators
  • 10.3hypothesistesting
  • 10.3.1asymptoticdistributionoflrts
  • 10.3.2otherlarge-sampletests
  • 10.4intervalestimation
  • 10.4.1approximatemaximumlikelihoodintervals
  • 10.4.2otherlarge-sampleintervals
  • 10.5exercises
  • 10.6miscellanea
  • 11analysisofvarianceandregression
  • 11.1introduction
  • 11.2onewayanalysisofvariance
  • 11.2.1modelanddistributionassumptions
  • 11.2.2theclassicanovahypothesis
  • 11.2:3inferencesregardinglinearcombinationsofmeans
  • 11.2.4theanovaftest
  • 11.2.5simultaneousestimationofcontrasts
  • 11.2.6partitioningsumsofsquares
  • 11.3simplelinearregression
  • 11.3.1leastsquares:amathematicalsolution
  • 11.3.2bestlinearunbiasedestimators:astatisticalsolution
  • 11.3.3modelsanddistributionassumptions
  • 11.3.4estimationandtestingwithnormalerrors
  • 11.3.5estimationandpredictionataspecifiedx=x0
  • 11.3.6simultaneousestimationandconfidencebands
  • 11.4exercises
  • 11.5miscellanea
  • 12regressionmodels
  • 12.1introduction
  • 12.2regressionwitherrorsinvariables
  • 12.2.1functionalandstructuralrelationships
  • 12.2.2aleastsquaressolution
  • 12.2.3maximumlikelihoodestimation
  • 12.2.4confidencesets
  • 12.3logisticregression
  • 12.3.1themodel
  • 12.3.2estimation
  • 12.4robustregression
  • 12.5exercises
  • 12.6miscellanea
  • appendix:computeralgebra
  • tableofcommondistributions
  • references
  • authorindex
  • subjectindex

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