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Title Introduction à l'estimation non-paramétrique. English
Introduction to nonparametric estimation / by Alexandre B. Tsybakov.
Imprint New York : Springer, ©2009.

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 Internet  Electronic Book    AVAILABLE
Edition English ed.
Description 1 online resource (xii, 214 pages) : illustrations
Series Springer series in statistics
Springer series in statistics.
Note "The French edition of this work that is the basis of this work that is the basis of this expanded edition was translated by Vladimir Zaiats."--Page [i].
Bibliog. Includes bibliographical references (pages 203-209) and index.
Note Available only to authorized UTEP users.
Subject Nonparametric statistics.
Estimation theory.
Statistics, Nonparametric.
statistiek
statistics
statistische analyse
statistical analysis
waarschijnlijkheid
probability
econometrie
econometrics
beeldverwerking
image processing
spraak
speech
stochastische processen
stochastic processes
computerwetenschappen
computer sciences
patroonherkenning
pattern recognition
waarschijnlijkheidstheorie
probability theory
Statistics (General)
Statistiek (algemeen)
Contents Preface to the English Edition; Preface to the French Edition; Notation; Contents; Nonparametric estimators; Examples of nonparametric models and problems; Kernel density estimators; Fourier analysis of kernel density estimators; Unbiased risk estimation. Cross-validation density estimators; Nonparametric regression. The Nadaraya -- Watson estimator; Local polynomial estimators; Projection estimators; Oracles; Unbiased risk estimation for regression; Three Gaussian models; Notes; Exercises; Lower bounds on the minimax risk; Introduction; A general reduction scheme.
Summary Presents basic nonparametric regression and density estimators and analyzes their properties. This book covers minimax lower bounds, and develops advanced topics such as: Pinsker's theorem, oracle inequalities, Stein shrinkage, and sharp minimax adaptivity.
Other Title Print version: Tsybakov, A.B. (Alexandre B.). Introduction to nonparametric estimation. New York : Springer, ©2009 9780387790510 0387790519