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Introduction to Nonparametric Estimation

Name: Introduction to Nonparametric Estimation
Brand: Springer-Verlag New York Inc.
SKU: 04066898
Price: 168.02 EUR
Availability: InStock
Author: Alexandre Tsybakov
ISBN: 9780387790510

Alexandre Tsybakov

Language

English

Book Hardback

Libristo code: 04066898

Publishers Springer-Verlag New York Inc., November 2008

This is a concise text developed from lecture notes and ready to be used for a course on the graduat... Full description

Libristo code: 04066898

406 b

168.02 €

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This is a concise text developed from lecture notes and ready to be used for a course on the graduate level. The main idea is to introduce the fundamental concepts of the theory while maintaining the exposition suitable for a first approach in the field. Therefore, the results are not always given in the most general form but rather under assumptions that lead to shorter or more elegant proofs.§The book has three chapters. Chapter 1 presents basic nonparametric regression and density estimators and analyzes their properties. Chapter 2 is devoted to a detailed treatment of minimax lower bounds. Chapter 3 develops more advanced topics: Pinsker s theorem, oracle inequalities, Stein shrinkage, and sharp minimax adaptivity.§This book will be useful for researchers and grad students interested in theoretical aspects of smoothing techniques. Many important and useful results on optimal and adaptive estimation are provided. As one of the leading mathematical statisticians working in nonparametrics, the author is an authority on the subject.