Robust Statistics
Influence functions, M-estimators, and breakdown points.
Robust Statistics. Influence functions, M-estimators, and breakdown points.
Foundations and canonical references
The standard treatments of robust statistics approach the subject from complementary angles. Huber, Robust Statistics (2009) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for robust statistics include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2009Robust Statisticshuber-2009, ronchetti-2009
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