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 ...
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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 Gin???-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.
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Add this copy of Uniform Central Limit Theorems to cart. $42.00, like new condition, Sold by West with the Night rated 5.0 out of 5 stars, ships from Tucson, AZ, UNITED STATES, published 1999 by Cambridge University Press.
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Book. 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.
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