Book Details
Format
Paperback / Softback
Book Series
Cambridge Studies in Advanced Mathematics
ISBN-10
0521738415
ISBN-13
9780521738415
Edition
2 Revised edition
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
US
Country of Publication
GB
Publication Date
Feb 24th, 2014
Print length
482 Pages
Weight
650 grams
Dimensions
22.80 x 15.20 x 2.60 cms
Product Classification:
Probability & statistics
Ksh 9,100.00
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This second edition of a classic work has been considerably expanded and revised, now with complete proofs of all results, including several new theorems not included in the first edition, such as Talagrand's generic chaining approach to boundedness of Gaussian processes and Giné and Zinn's characterization of uniform Donsker classes.
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.
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