Empirical Process Theory
Vapnik–Chervonenkis, Donsker classes, and uniform laws of large numbers.
Empirical Process Theory. Vapnik–Chervonenkis, Donsker classes, and uniform laws of large numbers.
Foundations and canonical references
The standard treatments of empirical process theory approach the subject from complementary angles. Vandervaart, Weak Convergence and Empirical Processes (1996) 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 empirical process theory 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 · 1996Weak Convergence and Empirical Processesvandervaart-1996, wellner-1996
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