Title: Introduction � l'estimation non param�trique (Math�matiques et Applications, 41) (French Edition)
Publisher: Springer
Publication Date: 2003
Language: French
ISBN 10: 3540405925
ISBN 13: 9783540405924
Binding: Soft cover
Condition: New

About this title

Synopsis

La th�orie de l'estimation non-param�trique s'est d�velopp�e consid�rablement ces deux derni�res d�cennies, en se fixant pour objectif quelques th�mes principaux, en particulier, l'�tude de l'optimalit� des estimateurs et l'estimation adaptative. Ces deux th�mes occupent la place centrale dans le livre. Il s'agit de pr�senter, pour quelques mod�les et exemples simples, les id�es principales de l'estimation non-param�trique. Quelques sujets abord�s sont: les m�thodes de noyaux, de projection et de polyn�mes locaux, vitesses optimales de convergence, le th�or�me de Pinsker, les in�galit�s d'oracle, l'adaptation au sens minimax. Un chapitre est consacr� � l'exposition d�taill�e des diff�rentes techniques de minoration du risque minimax.

From the Back Cover

La th�orie de l'estimation non-param�trique s'est d�velopp�e consid�rablement ces deux derni�res d�cennies, en fixant pour objectif quelques th\`emes principaux, en particulier, l'�tude de l'optimalit� des estimateurs, et l'estimation adaptative. Ces deux th�mes occupent la place centrale dans le livre. Il s'agit de pr�senter, pour quelques mod�les et exemples simples, les id�es principales de l'estimation non-param�trique. Quelques sujets abord�s sont: les m�thodes de noyaux, de projection et de polyn�mes locaux, vitesses optimales de convergence, le Th�or�me de Pinsker, les in�galit�s d'oracle, l'adaptation au sens minimax. Un chapitre est consacr� � l'exposition d�taill�e des diff�rentes techniques de minoration du risque minimax.

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