線性模型(簡體書)
商品資訊
ISBN13:9787506238182
出版社:世界圖書(北京)出版公司
作者:C.Radhakrishna Rao
出版日:2012/04/04
裝訂/頁數:平裝/352頁
規格:21cm*14.5cm (高/寬)
版次:一版
商品簡介
目次
商品簡介
The book is based on both authors' several years of experience in teaching linear models at various levels. It gives an up-to-date account of the theory and applications of linear models. The book can be used as a text for courses in statistics at the graduate level and as an acpanying text for courses in other areas. Some of the highlights in this book are as follows.
目次
Preface
1 Introduction
2 LinearModels
2.1 RegressionModelsinEconometrics
2.2 EconometricModels
2.3 TheReducedForm
2.4 TheMultivariateRegressionModel
2.5 TheClassicalMultivariateLinearRegressionModel
2.6 TheGeneralizedLinearRegressionModel
3 TheLinearRegressionModel
3.1 TheLinearModel
3.2 ThePrincipleofOrdinaryLeastSquares(OLS)
3.3 GeometricPropertiesofOLS
3.4 BestLinearUnbiasedEstimation
3.5 Estimation(Prediction)oftheErrorTermeand2
3.6 ClassicalRegressionunderNormalErrors
3.7 TestingLinearHypotheses
3.8 AnalysisofVarianceandGoodnessofFit
3.9 TheCanonicalForm
3.10 MethodsforDealingwithMulticollinearity
3.11 ProjectionPursuitRegression
3.12 TotalLeastSquares
3.13 MinimaxEstimation
3.14 CensoredRegression
4 TheGeneralizedLinearRegressionModel
4.1 OptimalLinearEstimationofB
4.2 TheAitkenEstimator
4.3 MisspecificationoftheDispersionMatrix
4.4 HeteroscedasticityandAutoregression
5 ExactandStochasticLinearRestrictions
5.1 UseofPriorInformation
5.2 TheRestrictedLeast-SquaresEstimator
5.3 StepwiseInclusionofExactLinearRestrictions
5.4 BiasedLinearRestrictionsandMDEComparisonwiththeOLSE
5.5 MDEMatrixComparisonsofTwoBiasedEstimators
5.6 MDEMatrixComparisonofTwoLinearBiasedEstimators
5.7 MDEComparisonofTwo(Biased)RestrictedEstimators
5.8 StochasticLinearRestrictions
5.9 WeakenedLinearRestrictions
6 PredictionProblemsintheGeneralizedRegressionModel
6.1 Introduction
6.2 SomeSimpleLinearModels
6.3 ThePredictionModel
6.4 OptimalHeterogeneousPrediction
6.5 OptimalHomogeneousPrediction
6.6 MDEMatrixComparisonsbetweenOptimalandClassical Predictors
6.7 PredictionRegions
7 SensitivityAnalysis
7.1 Introduction
7.2 PredictionMatrix
7.3 TheEffectofaSingleObservationontheEstimationofPa-rameters
7.4 DiagnosticPlotsforTestingtheModelAssumptions
7.5 MeasuresBasedontheConfidenceEllipsoid
7.6 PartialRegressionPlots
8 AnalysisofInpleteDataSets
8.1 StatisticalAnalysiswithMissingData
8.2 MissingDataintheResponse
8.3 MissingValuesintheX-Matrix
8.4 MaximumLikelihoodEstimatesofMissingValues
8.5 WeightedMixedRegression
9 RobustRegression
9.1 Introduction
9.2 LeastAbsoluteDeviationEstimators--UnivariateCase
……
10 ModelsforBinaryResponseVariables
A MatrixAlgebra
B Tables
References
Index
1 Introduction
2 LinearModels
2.1 RegressionModelsinEconometrics
2.2 EconometricModels
2.3 TheReducedForm
2.4 TheMultivariateRegressionModel
2.5 TheClassicalMultivariateLinearRegressionModel
2.6 TheGeneralizedLinearRegressionModel
3 TheLinearRegressionModel
3.1 TheLinearModel
3.2 ThePrincipleofOrdinaryLeastSquares(OLS)
3.3 GeometricPropertiesofOLS
3.4 BestLinearUnbiasedEstimation
3.5 Estimation(Prediction)oftheErrorTermeand2
3.6 ClassicalRegressionunderNormalErrors
3.7 TestingLinearHypotheses
3.8 AnalysisofVarianceandGoodnessofFit
3.9 TheCanonicalForm
3.10 MethodsforDealingwithMulticollinearity
3.11 ProjectionPursuitRegression
3.12 TotalLeastSquares
3.13 MinimaxEstimation
3.14 CensoredRegression
4 TheGeneralizedLinearRegressionModel
4.1 OptimalLinearEstimationofB
4.2 TheAitkenEstimator
4.3 MisspecificationoftheDispersionMatrix
4.4 HeteroscedasticityandAutoregression
5 ExactandStochasticLinearRestrictions
5.1 UseofPriorInformation
5.2 TheRestrictedLeast-SquaresEstimator
5.3 StepwiseInclusionofExactLinearRestrictions
5.4 BiasedLinearRestrictionsandMDEComparisonwiththeOLSE
5.5 MDEMatrixComparisonsofTwoBiasedEstimators
5.6 MDEMatrixComparisonofTwoLinearBiasedEstimators
5.7 MDEComparisonofTwo(Biased)RestrictedEstimators
5.8 StochasticLinearRestrictions
5.9 WeakenedLinearRestrictions
6 PredictionProblemsintheGeneralizedRegressionModel
6.1 Introduction
6.2 SomeSimpleLinearModels
6.3 ThePredictionModel
6.4 OptimalHeterogeneousPrediction
6.5 OptimalHomogeneousPrediction
6.6 MDEMatrixComparisonsbetweenOptimalandClassical Predictors
6.7 PredictionRegions
7 SensitivityAnalysis
7.1 Introduction
7.2 PredictionMatrix
7.3 TheEffectofaSingleObservationontheEstimationofPa-rameters
7.4 DiagnosticPlotsforTestingtheModelAssumptions
7.5 MeasuresBasedontheConfidenceEllipsoid
7.6 PartialRegressionPlots
8 AnalysisofInpleteDataSets
8.1 StatisticalAnalysiswithMissingData
8.2 MissingDataintheResponse
8.3 MissingValuesintheX-Matrix
8.4 MaximumLikelihoodEstimatesofMissingValues
8.5 WeightedMixedRegression
9 RobustRegression
9.1 Introduction
9.2 LeastAbsoluteDeviationEstimators--UnivariateCase
……
10 ModelsforBinaryResponseVariables
A MatrixAlgebra
B Tables
References
Index
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