Name: A Distribution-Free Theory of Nonparametric Regression (en Inglés)
SKU: 63164390
Price: 50.25 USD
Availability: InStock
Author: László Györfi

portada A Distribution-Free Theory of Nonparametric Regression (en Inglés)

A Distribution-Free Theory of Nonparametric Regression (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

László Györfi

Año

2013

Idioma

Inglés

N° páginas

668

Encuadernación

Tapa Blanda

ISBN13

9781475777024

A Distribution-Free Theory of Nonparametric Regression (en Inglés)

László Györfi (Autor) · Springer · Tapa Blanda

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Reseña del libro "A Distribution-Free Theory of Nonparametric Regression (en Inglés)"

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.