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, Gine 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.
General
| Imprint: |
Cambridge UniversityPress
|
| Country of origin: |
United Kingdom |
| Series: |
Cambridge Studies in Advanced Mathematics |
| Release date: |
February 2014 |
| First published: |
February 2014 |
| Authors: |
R. M Dudley
|
| Dimensions: |
229 x 152 x 32mm (L x W x T) |
| Format: |
Hardcover
|
| Pages: |
486 |
| Edition: |
2nd Revised edition |
| ISBN-13: |
978-0-521-49884-5 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Probability & statistics
|
| LSN: |
0-521-49884-8 |
| Barcode: |
9780521498845 |
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