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Robust Planning and Analysis of Experiments
Buch
Buch
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Fachbuch
1997

Robust Planning and Analysis of Experiments

Kollektion

Lecture Notes in Statistics

ISBN
EAN
978-0-387-98223-6
9780387982236
Artikel-Nr.
DRN66RE
Kostenloser Versand
Rabatt
-11.5
%
CHF 150.00
CHF
132.68
Anzahl
1
Maximale
Lieferzeit
20
Arbeitstage
Freitag
20.08.2021
speech-bubble-svg Beschreibung
Robust statistics and the design of experiments are two of the fastest growing fields in contemporary statistics. Up to now, there has been very little overlap between these fields. This is the first book to link these two areas by studying the influence of the design on the efficiency and robustness of robust estimators and tests. The classical approaches of experimental design and robust statistics are introduced before the areas are linked, and the author shows that robust statistical procedures profit by an appropriate choice of the design and that efficient designs for a robust statistical analysis are more applicable.
Inhaltsverzeichnis
I: Efficient Inference for Planned Experiments.- 1 Planned Experiments.- 1.1 Deterministic and Random Designs.- 1.2 Linear and Nonlinear Models.- 1.3 Identifiability of Aspects.- 2 Efficiency Concepts for Outlier-Free Observations.- 2.1 Assumptions on the Error Distribution.- 2.2 Optimal Inference for Linear Problems.- 2.3 Efficient Inference for Nonlinear Problems.- II: Robust Inference for Planned Experiments.- 3 Smoothness Concepts of Outlier Robustness.- 3.1 Distributions Modelling Outliers.- 3.2 Smoothness of Estimators and Functionals.- 3.3 Frechet Differentiability of M-Functionals.- 4 Robustness Measures: Bias and Breakdown Points.- 4.1 Asymptotic Bias and Breakdown Points.- 4.2 Bias and Breakdown Points for Finite Samples.- 4.3 Breakdown Points in Linear Models.- 4.4 Breakdown Points for Nonlinear Problems.- 5 Asymptotic Robustness for Shrinking Contamination.- 5.1 Asymptotic Behaviour of Estimators in Shrinking Neighbourhoods.- 5.2 Robust Estimation in Contaminated Linear Models.- 5.3 Robust Estimation of Nonlinear Aspects.- 5.4 Robust Estimation in Contaminated Nonlinear Models.- 6 Robustness of Tests.- 6.1 Bias and Breakdown Points.- 6.2 Asymptotic Robustness for Shrinking Contamination.- III: High Robustness and High Efficiency.- 7 High Robustness and High Efficiency of Estimation.- 7.1 Estimators and Designs with Minimum Asymptotic Bias.- 7.2 Optimal Estimators and Designs for a Bias Bound.- 7.3 Robust and Efficient Estimation of Nonlinear Aspects.- 7.4 Robust and Efficient Estimation in Nonlinear Models.- 8 High Robustness and High Efficiency of Tests.- 8.1 Tests and Designs with Minimum Asymptotic Bias.- 8.2 Optimal Tests and Designs for a Bias Bound.- 9 High Breakdown Point and High Efficiency.- 9.1 Breakdown Point Maximizing Estimators and Designs.- 9.2 Combining High Breakdown Point and High Efficiency.- Outlook.- A.1 Asymptotic Linearity of Frechet Differentiable Functionals.- A.2 Properties of Special Matrices and Functions.- References.- List of Symbols.
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Herausgeber/-in
Zielgruppe
Research
Publikation
Vereinigte Staaten
20.06.1997
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Sprache
Englisch
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Softcover
234 Seiten
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Kostenloser Versand: Schweiz & Liechtenstein
Für den Versand nach Deutschland oder Frankreich werden die Versandgebühren der Schweizerischen Post berechnet. Diese werden Ihnen im Warenkorb für Ihre gesamte Bestellung berechnet.
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