Uniform Central Limit Theorems
by R. M. Dudley
Format: Hardcover
ISBN13: 9780521498845
Hardcover|9780521498845
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Overview
In this new edition of a classic work on empirical processes the author, an acknowledged expert, gives a thorough treatment of the subject with the addition of several proved theorems not included in the first edition, including the Bretagnolle-Massart theorem giving constants in the Komlos-Major-Tusnady rate of convergence for the classical empirical process, Massart's form of the Dvoretzky-Kiefer-Wolfowitz inequality with precise constant, Talagrand's generic chaining approach to boundedness of Gaussian processes, a characterization of uniform Glivenko-Cantelli classes of functions, Giné and Zinn's characterization of uniform Donsker classes, and the Bousquet-Koltchinskii-Panchenko theorem that the convex hull of a uniform Donsker class is uniform Donsker. The book will be an essential reference for mathematicians working in infinite-dimensional central limit theorems, mathematical statisticians, and computer scientists working in computer learning theory. Problems are included at the end of each chapter so the book can also be used as an advanced text.
| ISBN-13 | 9780521498845 |
|---|---|
| ISBN-10 | 0521498848 |
| Weight | 1.72 Pounds |
| Dimensions | 6.25 x 1.25 x 9.00 In |
| List Price | $116.00 |
| Edition | 2nd Edition |
| Format | Hardcover |
|---|---|
| Language | English |
| Pages | 486 pages |
| Publisher | Cambridge University Press |
| Published On | 2014-02-24 |
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Print on demand Cambridge Studies in Advanced Mathematics . Intended for professional and scholarly...
Free delivery by: 01 Apr 2026