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Robust statistical methods with R

Author: Jana Jurečková; Jan Picek
Publisher: Boca Raton : Chapman & Hall/CRC, 2006.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

Offers a systematic account of robust statistical methods. This work covers differentiable statistical functions, influence functions, asymptotic distributions, and more. It also provides many  Read more...

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Jurečková, Jana, 1940-
Robust statistical methods with R.
Boca Raton : Chapman & Hall/CRC, 2006
(DLC) 2005053192
(OCoLC)61451681
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jana Jurečková; Jan Picek
ISBN: 1420035134 9781420035131 1584884541 9781584884545
OCLC Number: 71147423
Description: 1 online resource (xi, 193 pages) : illustrations
Contents: INTRODUCTIONMATHEMATICAL TOOLS OF ROBUSTNESSStatistical ModelIllustration on Statistical EstimationStatistical FunctionalFisher's ConsistencySome Distances of Probability MeasuresRelations between DistancesDifferentiable Statistical FunctionalsGateau DerivativeFrechet DerivativeHadamard (Compact) DerivativeLarge Sample Distribution of Empirical FunctionalComputation and Software NotesProblems and ComplementsBASIC CHARACTERISTICS OF ROBUSTNESSInfluence FunctionDiscretized Form of Influence FunctionQualitative RobustnessQuantitative Characteristics of Robustness Based on Influence FunctionMaximum BiasBreakdown PointTail-Behavior Measure of a Statistical EstimatorVariance of Asymptotic Normal DistributionProblems and ComplementsROBUST ESTIMATORS OF REAL PARAMETERIntroductionM-EstimatorsM-Estimator of Location ParameterFinite Sample Minimax Property of M-EstimatorMoment Convergence of M-EstimatorsStudentized M-EstimatorsL-EstimatorsSequential M- and L-EstimatorsR-EstimatorsNumerical IllustrationComputation and Software NotesProblems and ComplementsROBUST ESTIMATORS IN LINEAR MODELIntroductionLeast Squares MethodM-EstimatorsGM-EstimatorsS-Estimators and MM-EstimatorsL-Estimators, Regression QuantilesRegression Rank ScoresRobust Scale StatisticsEstimators with High Breakdown PointsOne-Step Versions of EstimatorsNumerical IllustrationsComputation and Software NotesProblems and ComplementsMULTIVARIATE LOCATION MODELIntroductionMultivariate M-Estimators of Location and ScatterHigh Breakdown Estimators of Multivariate Location and ScatterAdmissibility and ShrinkageNumerical Illustrations and Software NotesProblem and ComplementsSOME LARGE SAMPLE PROPERTIES OF ROBUST PROCEDURESIntroductionM-EstimatorsL-EstimatorsR-EstimatorsInterrelationships of M-, L-, and R-EstimatorsMinimaximally Robust EstimatorsProblems and ComplementsSOME GOODNESS-OF-FIT TESTSIntroductionTests of Normality of the Shapiro-Wilk Type with Nuisance Regression and Scale ParametersGoodness-of-Fit Tests for General Distribution with Nuisance Regression and ScaleNumerical IllustrationComputation and Software NotesAPPENDIX A: R SYSTEMBrief R OverviewREFERENCESSUBJECT INDEXAUTHOR INDEX
Responsibility: Jana Jurečková, Jan Picek.

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