A Distribution-Free Theory of Nonparametric Regression (Hardcover, 2002 ed.)

This book provides a systematic in-depth analysis of nonparametric regression with random design. It covers almost all known estimates such as classical local averaging estimates including kernel, partitioning and nearest neighbor estimates, least squares estimates using splines, neural networks and radial basis function networks, penalized least squares estimates, local polynomial kernel estimates, and orthogonal series estimates. The emphasis is on distribution-free properties of the estimates. Most consistency results are valid for all distributions of the data. Whenever it is not possible to derive distribution-free results, as in the case of the rates of convergence, the emphasis is on results which require as few constrains on distributions as possible, on distribution-free inequalities, and on adaptation. The relevant mathematical theory is systematically developed and requires only a basic knowledge of probability theory. The book will be a valuable reference for anyone interested in nonparametric regression and is a rich source of many useful mathematical techniques widely scattered in the literature. In particular, the book introduces the reader to empirical process theory, martingales and approximation properties of neural networks.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Springer Series in Statistics
Release date:	August 2002
First published:	2002
Authors:	Laszlo Gyoerfi • Michael Kohler • Adam Krzyzak • Harro Walk
Dimensions:	234 x 156 x 36mm (L x W x T)
Format:	Hardcover
Pages:	650
Edition:	2002 ed.
ISBN-13:	978-0-387-95441-7
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics
LSN:	0-387-95441-4
Barcode:	9780387954417

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