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Item Details
| Title:
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UNIFORM CENTRAL LIMIT THEOREMS
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| By: |
R. M. Dudley |
| Format: |
Electronic book text |
| List price:
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£85.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0511665628 |
| ISBN 13: |
9780511665622 |
| Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
| Pub. date: |
20 May, 2010 |
| Series: |
Cambridge Studies in Advanced Mathematics 63 |
| Description: |
This treatise by an acknowledged expert includes several topics not found in any previous book. |
| Synopsis: |
This book shows how the central limit theorem for independent, identically distributed random variables with values in general, multidimensional spaces, holds uniformly over some large classes of functions. The author, an acknowledged expert, gives a thorough treatment of the subject, including several topics not found in any previous book, such as the Fernique-Talagrand majorizing measure theorem for Gaussian processes, an extended treatment of Vapnik-Chervonenkis combinatorics, the Ossiander L2 bracketing central limit theorem, the Gine-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. Other results of Talagrand and others are surveyed without proofs in separate sections. Problems are included at the end of each chapter so the book can be used as an advanced text. The book will interest mathematicians working in probability, mathematical statisticians and computer scientists working in computer learning theory. |
| Illustrations: |
2 b/w illus. |
| Publication: |
UK |
| Imprint: |
Cambridge University Press (Virtual Publishing) |
| Returns: |
Non-returnable |
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