Robust Statistics

Introducing concepts, theory, and applications, Robust Statistics is accessible to a broad audience, avoiding allusions to high-powered mathematics while emphasizing ideas, heuristics, and background. The text covers the approach based on the influence function (the effect of an outlier on an estimater, for example) and related notions such as the breakdown point. It also treats the change-of-variance function, fundamental concepts and results in the framework of estimation of a single parameter, and applications to estimation of covariance matrices and regression parameters. Robust Statistics is a leading-edge resource suitable for use both as a textbook or a reference on robust statistics for all practitioners and students.

1. Introduction and Motivation. 2. One-Dimensional Estimators.
3. One-Dimensional Tests.
4. Multidimensional Estimators.
5. Estimation of Covariance Matrices and Multivariate Location.
6. Linear Models: Robust Estimation.
7. Linear Models: Robust Testing.
8. Complements and Outlook.
References.
Index.