Introduction | |
What is Robust Statistics? | |
Against What is Robust Statistics Robust? | |
Are Diagnostic Methods an Alternative to Robust Statistics? | |
How do Robust Statistics Compare with Other Statistical Procedures in Practice? | |
Key Measures and Results | |
Introduction | |
Statistical Tools for Measuring Robustness Properties | |
General Approaches for Robust Estimation | |
Statistical Tools for Measuring the Robustness of Tests | |
General Approaches for Robust Testing | |
Linear Regression | |
Introduction | |
Estimating the Regression Parameters | |
Testing the Regression Parameters | |
Checking and Selecting the Model | |
Cardiovascular Risk Factors Data Example | |
Mixed Linear Models | |
Introduction | |
The MLM | |
Classical Estimation and Inference | |
Robust Estimation | |
Robust Inference | |
Checking the Model | |
Further Examples | |
Discussion and Extensions | |
Generalized Linear Models | |
Introduction | |
The GLM | |
A Class of M-estimators for GLMs | |
Robust Inference | |
Breastfeeding Data Example | |
Doctor Visits Data Example | |
Discussion and Extensions | |
Marginal Longitudinal Data Analysis | |
Introduction | |
The Marginal Longitudinal Data Model (MLDA) and Alternatives | |
A Robust GEE-type Estimator | |
Robust Inference | |
LEI Data Example | |
Stillbirth in Piglets Data Example | |
Discussion and Extensions | |
Survival Analysis | |
Introduction | |
The Cox Model | |
Robust Estimation and Inference in the Cox Model | |
The VeteranÆs Administration Lung Cancer Data | |
Structural Misspecifications | |
Censored Regression Quantiles | |
Appendices | |
Starting Estimators for MM-estimators of Regression Parameters | |
Efficiency, LRT? RAIC and RCp with Biweight ?-function for the Regression Model | |
An Algorithm Procedure for the Constrained S-estimator | |
Some Distributions of the Exponential Family | |
Computations for the Robust GLM Estimator | |
FisherConsistencyCorrections | |
AsymptoticVariance | |
IRWLSAlgorithmforRobustGLM | |
Computations for the Robust GEE Estimator | |
IRWLSAlgorithmforRobustGEE | |
FisherConsistencyCorrections | |
Computation of the CRQ | |
References | |
Index | |
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