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ISBN: 9780521052214
ID: 6010781
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. 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. Books, Science and Geography~~Mathematics~~Probability & Statistics, Uniform Central Limit Theorems~~Book~~9780521052214~~R M Dudley, , , , , , , , , ,, [PU: Cambridge University Press]
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ISBN: 9780521052214
ID: 1721660
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 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 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. Uniform Central Limit Theorems Dudley, R. M., Cambridge University Press
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ISBN: 0521052211
ID: 0521052211
Uniform Central Limit Theorems Author :R.M. Dudley 9780521052214 0521052211, [PU: Cambridge University Press]
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ISBN: 9780521052214
ID: 1039984198
Uniform Central Limit Theorems Pb editado por Cambridge, [PU: Cambridge University Press]
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Title: | Uniform Central Limit Theorems |
ISBN: | 0521052211 |
Details of the book - Uniform Central Limit Theorems
EAN (ISBN-13): 9780521052214
ISBN (ISBN-10): 0521052211
Paperback
Publishing year: 2008
Publisher: CAMBRIDGE UNIV PR
452 Pages
Weight: 0,640 kg
Language: eng/Englisch
Book in our database since 21.01.2008 15:36:47
Book found last time on 01.11.2016 10:23:26
ISBN/EAN: 0521052211
ISBN - alternate spelling:
0-521-05221-1, 978-0-521-05221-4
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