生长曲线模型及其统计诊断（英文版）

图书标准信息

• 作者 Jiashan、Deping、Yang Zhang 著；科学出版社 译
• 出版社 科学出版社
• 出版时间 2007-01
• 版次 1
• ISBN 9787030195326
• 定价 86.00元
• 装帧 精装
• 开本 16开
• 纸张 胶版纸
• 页数 387页
• 正文语种 英语
• 丛书 数学专著系列

【内容简介】

Thisbookdiscussesthetheoryofagrowthcurvemodel（GCM）withparticularemphasisontatisticaldiagnostics，whichismainlybasedonrecentworkondiagnosticsmadebytheauthorsandtheircollaborators.ThisbookisintendedforresearcherswhoareworkingintheareaoftheoreticalstudiesrelatedtotheGCMaswellasmultivariatestatisticaldiagnostics，andforappliedstatisticiansworkinginapplicationoftheGCMtopracticalareas.

【目录】

Preface
Acronyms
Notation
Chapter1
Introduction
1.1GeneralRemarks
1.1.1StatisticalDiagnostics
1.1.2OutliersandInfluentialObservation

1.2StatisticalDiagnosticsinMultivariateAnalysis
1.2.1MultipleOutliersinMultivariateData
1.2.2Statisticaldiagnosticsinmultivariatemodels

1.3GrowthCurveModel（GCM）
1.3.1ABriefReview
1.3.2CovarianceStructureSelection

1.4Summary
1.4.1StatisticalInference
1.4.2DiagnosticsWithinaIikelihoodFramework
1.4.3DiagnosticsWithinaBayesianFramework

1.5PreliminaryResults
1.5.1MatrixOperationandMatrixDerivative
1.5.2Matrix-variateNormalandtDistributions
1.6FurtherReadings

Chapter2
GeneralizedLeastSquareEstimation
2.1GeneralRemarks
2.1.1ModelDefinition
2.1.2PracticalExamples

2.2GeneralizedLeastSquareEstimation
2.2.1GeneralizedLeastSquareEstimate（GLSE）
2.2.2BestLinearUnbiasedEstimate（BLUE）
2.2.3IllustrativeExamples

2.3AdmissibleEstimateofRegressionCoefficient
2.3.1Admissibility
2.3.2NecessaryandSufficientCondition
2.4BibliographicalNotes

Chapter3
MaximumLikelihoodEstimation
3.1MaximumLikelihoodEstimation
3.1.1MaximumLikelihoodEstimate（MLE）
3.1.2ExpectationandVariance-covariance
3.1.3IllustrativeExamples

3.2RaosSimpleCovarianceStructure（SCS）
3.2.1ConditionThattheMLEIsIdenticaltotheGLSE
3.2.2EstimatesofDispersionComponents
3.2.3IllustrativeExamples

3.3RestrictedMaximumLikelihoodEstimation
3.3.1RestrictedMaximumLikelihood（REMLs）estimate
3.3.2REMLsEstimatesintheGCM
3.3.3IllustrativeExamples
3.4BibliographicalNotes

Chapter4
DiscordantOutlierandInfluentialObservation
4.1GeneralRemarks
4.1.1DiscordantOutlier-GeneratingModel
4.1.2InfluentialObservation

4.2DiscordantOutlierDetectionintheGCMwithSCS
4.2.1MultipleIndividualDeletionModel（MIDM）
4.2.2MeanShiftRegressionModel（MSRM）
4.2.3MultipleDiscordantOutlierDetection
4.2.4IllustrativeExamples

4.3InfluentialObservationintheGCMwithSCS
4.3.1GeneralizedCook-typeDistance
4.3.2ConfidenceEllipsoidsVolume
4.3.3InfluenceAssessmentonLinearCombination
4.3.4IllustrativeExamples

4.4DiscordantOutlierDetectionintheGCMwithUC
4.4.1"MultipleIndividualDeletionModel（MIDM）
4.4.2MeanShiftRegressionModel（MSRM）
4.4.3MultipleDiscordantOutlierDetection
4.4.4IllustrativeExamples

4.5InfluentialObservationintheGCMwithUC
4.5.1GeneralizedCook-typeDistance
4.5.2ConfidenceEllipsoidsVolume
4.5.3InfluenceAssessmentonLinearCombination
4.5.4IllustrativeExamples
4.6BibliographicalNotes

Chapter5
Likelihood-BasedLocalInfluence
5.1GeneralRemarks
5.1.1Background
5.1.2LocalInfluenceAnalysis

5.2LocalInfluenceAssessmentintheGCMwithSCS
5.2.1ObservedInformationMatrix
5.2.2HessianMatrix
5.2.3Covariance-WeightedPerturbation
5.2.4IllustrativeExamples

5.3LocalInfluenceAssessmentintheGCMwithUC
5.3.1ObservedInformationMatrix
5.3.2HessianMatrix
5.3.3Covariance-WeightedPerturbation
5.3.4IllustrativeExamples
5.4BibliographicalNotes

Chapter6
BayesianInfluenceAssessment
6.1GeneralRemarks
6.1.1BayesianInfluenceAnalysis
6.1.2Kullback-LeiblerDivergence

6.2BayesianInfluenceAnalysisintheGCMwithSCS
6.2.1PosteriorDistribution
6.2.2BayesianInfluenceMeasurement
6.2.3IllustrativeExamples

6.3BayesianInfluenceAnalysisintheGCMwithUC
6.3.1PosteriorDistribution
6.3.2BayesianInfluenceMeasurement
6.3.3IllustrativeExamples
6.4BibliographicalNotes

Chapter7
BayesianLocalInfluence
7.1GeneralRemarks
7.1.1BayesianLocalInfluence
7.1.2BayesianHessianMatrix

7.2BayesianLocalInfluenceintheGCMwithSCS
7.2.1BayesianHessianMatrix
7.2.2Covariance-WeightedPerturbation
7.2.3IllustrativeExamples

7.3BayesianLocalInfluenceintheGCMwithUC
7.3.1BayesianHessianMatrix
7.3.2Covariance-WeightedPerturbation
7.3.3IllustrativeExamples
7.4BibliographicalNotes

Appendix
Datasetsusedinthisbook
References
AuthorIndex
SubjectIndex