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Uniform Central Limit Theorems (Cambridge Studies in Advanced Mathematics, Series Number 63) - Softcover
Synopsis
This book shows how, when samples become large, the probability laws of large numbers and related facts are guaranteed to hold over wide domains. 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 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. Other recent 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 with an interest in probability, mathematical statisticians, and computer scientists working in computer learning theory.
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Book Description
The central limit theorem shows how, when samples become large, the probability laws of large numbers and related facts are guaranteed to hold over wide domains. This thorough treatise on the subject, by an acknowledged expert, includes several topics not found in any other book, such as the treatment of VC combinatorics, the proofs of a bootstrap central limit theorem and of invariance principles. It also includes problems at the end of each chapter. The book will interest mathematicians working in probability, mathematical statisticians, and computer scientists working in computer learning theory.
Review
"This monograph is a well-written treatise on functional central limit theorems...recommended for all who want to know more about a subject which by now is considered a must in abstract large-sample theory." Mathematical Reviews
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- PublisherCambridge University Press
- Publication date2008
- ISBN 10 0521052211
- ISBN 13 9780521052214
- BindingPaperback
- LanguageEnglish
- Number of pages452
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UNIFORM CENTRAL LIMIT THEOREMS
Published by
Cambridge University Press, Cambridge, 2004
ISBN 10: 0521052211
ISBN 13: 9780521052214
Used
Softcover
Seller: Second Story Books, ABAA, Rockville, MD, U.S.A.
Seller rating 4 out of 5 stars
Softcover. Reprint. Octavo, 436 pages. In Good plus condition. Gray and orange spine with white and orange text. Covers have light bending to corners, light scratching to both covers, and mild edge and shelf wear. Textblock has wear to tail edge and gray mark on fore edge. Shelved ND-E. 1378584. FP New Rockville Stock. Seller Inventory # 1378584
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