000			03008nam a22005175i 4500
001			978-0-387-79052-7
003			DE-He213
005			20251006084420.0
007			cr nn 008mamaa
008			110402s2009 xxu| s |||| 0|eng d
020			_a9780387790527
020			_a99780387790527
024	7		_a10.1007/b13794 _2doi
100	1		_aTsybakov, Alexandre B. _eauthor.
245	1	0	_aIntroduction to Nonparametric Estimation _h[electronic resource] / _cby Alexandre B. Tsybakov.
264		1	_aNew York, NY : _bSpringer New York, _c2009.
300			_aX, 214p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringer Series in Statistics, _x0172-7397
505	0		_aNonparametric estimators -- Lower bounds on the minimax risk -- Asymptotic efficiency and adaptation.
520			_aMethods of nonparametric estimation are located at the core of modern statistical science. The aim of this book is to give a short but mathematically self-contained introduction to the theory of nonparametric estimation. The emphasis is on the construction of optimal estimators; therefore the concepts of minimax optimality and adaptivity, as well as the oracle approach, occupy the central place in the book. 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.
650		0	_aSTATISTICS.
650		0	_aCOMPUTER SCIENCE.
650		0	_aOPTICAL PATTERN RECOGNITION.
650		0	_aDISTRIBUTION (PROBABILITY THEORY).
650		0	_aMATHEMATICAL STATISTICS.
650		0	_aECONOMETRICS.
650	1	4	_aSTATISTICS.
650	2	4	_aSTATISTICAL THEORY AND METHODS.
650	2	4	_aPROBABILITY AND STATISTICS IN COMPUTER SCIENCE.
650	2	4	_aPATTERN RECOGNITION.
650	2	4	_aECONOMETRICS.
650	2	4	_aSIGNAL, IMAGE AND SPEECH PROCESSING.
650	2	4	_aPROBABILITY THEORY AND STOCHASTIC PROCESSES.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387790510
830		0	_aSpringer Series in Statistics, _x0172-7397
856	4	0	_uhttp://dx.doi.org/10.1007/b13794 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c59140 _d59140