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By
R. M. Dudley
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Bibliographic Detail
Publisher
Cambridge Univ Pr
Publication date
February 28, 2014
Pages
472
Binding
Paperback
Edition
2
Book category
Adult Non-Fiction
ISBN-13
9780521738415
ISBN-10
0521738415
Dimensions
1 by 6 by 8.75 in.
Weight
1.40 lbs.
Published in
Great Britain
Original list price
$50.00
Other format details
university press
Amazon.com says people who bought this book also bought:
High-Dimensional Probability: An Introduction with Applications in Data Science (Cambridge Series in Statistical and Probabilistic Mathematics) | Convergence of Probability Measures | Fundamentals of Nonparametric Bayesian Inference (Cambridge Series in Statistical and Probabilistic Mathematics) | Real Analysis and Probability | Empirical Processes in M-Estimation/Applications of Empirical Process Theory | Concentration Inequalities | Probility Theory
High-Dimensional Probability: An Introduction with Applications in Data Science (Cambridge Series in Statistical and Probabilistic Mathematics) | Convergence of Probability Measures | Fundamentals of Nonparametric Bayesian Inference (Cambridge Series in Statistical and Probabilistic Mathematics) | Real Analysis and Probability | Empirical Processes in M-Estimation/Applications of Empirical Process Theory | Concentration Inequalities | Probility Theory
Summaries and Reviews
Amazon.com description: Product Description: This classic work on empirical processes has been considerably expanded and revised from the original edition. When samples become large, the probability laws of large numbers and central limit theorems are guaranteed to hold uniformly over wide domains. The author, an acknowledged expert, gives a thorough treatment of the subject, including the Fernique-Talagrand majorizing measure theorem for Gaussian processes, an extended treatment of Vapnik-Chervonenkis combinatorics, the Ossiander L2 bracketing central limit theorem, the Giné-Zinn bootstrap central limit theorem in probability, the Bronstein theorem on approximation of convex sets, and the Shor theorem on rates of convergence over lower layers. This new edition contains 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 (i.e., classing Donsker uniformly over all probability measures P), 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.
Editions
Hardcover
2 edition from Cambridge Univ Pr (February 28, 2014)
9780521498845 | details & prices | 472 pages | 6.25 × 9.00 × 1.25 in. | 1.70 lbs | List price $120.00
from Cambridge Univ Pr (July 28, 1999)
9780521461023 | details & prices | 450 pages | 6.25 × 9.75 × 1.00 in. | 1.60 lbs | List price $162.00
About: This book shows how, when samples become large, the probability laws of large numbers and related facts are guaranteed to hold over wide domains.
About: This book shows how, when samples become large, the probability laws of large numbers and related facts are guaranteed to hold over wide domains.
Paperback
The price comparison is for this edition
2 edition from Cambridge Univ Pr (February 28, 2014)
9780521738415 | details & prices | 472 pages | 6.00 × 8.75 × 1.00 in. | 1.40 lbs | List price $50.00
About: This classic work on empirical processes has been considerably expanded and revised from the original edition.
About: This classic work on empirical processes has been considerably expanded and revised from the original edition.
Reissue edition from Cambridge Univ Pr (February 29, 2008)
9780521052214 | details & prices | 436 pages | 6.00 × 8.75 × 1.25 in. | 1.40 lbs | List price $57.00
About: This book shows how, when samples become large, the probability laws of large numbers and related facts are guaranteed to hold over wide domains.
About: This book shows how, when samples become large, the probability laws of large numbers and related facts are guaranteed to hold over wide domains.
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