000			03154nam a22004575i 4500
001			u374920
003			SIRSI
005			20160812084258.0
007			cr nn 008mamaa
008			101013s2011 gw | s |||| 0|eng d
020			_a9783642150074 _9978-3-642-15007-4
040			_cMX-MeUAM
050		4	_aQA273.A1-274.9
050		4	_aQA274-274.9
082	0	4	_a519.2 _223
100	1		_aChen, Louis H.Y. _eauthor.
245	1	0	_aNormal Approximation by Stein’s Method _h[recurso electrónico] / _cby Louis H.Y. Chen, Larry Goldstein, Qi-Man Shao.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2011.
300			_aXII, 408 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aProbability and Its Applications, _x1431-7028
505	0		_aPreface -- 1.Introduction -- 2.Fundamentals of Stein's Method -- 3.Berry-Esseen Bounds for Independent Random Variables -- 4.L^1 Bounds -- 5.L^1 by Bounded Couplings -- 6 L^1: Applications -- 7.Non-uniform Bounds for Independent Random Variables -- 8.Uniform and Non-uniform Bounds under Local Dependence -- 9.Uniform and Non-Uniform Bounds for Non-linear Statistics -- 10.Moderate Deviations -- 11.Multivariate Normal Approximation -- 12.Discretized normal approximation -- 13.Non-normal Approximation -- 14.Extensions -- References -- Author Index -- Subject Index -- Notation.
520			_aSince its introduction in 1972, Stein’s method has offered a completely novel way of evaluating the quality of normal approximations. Through its characterizing equation approach, it is able to provide approximation error bounds in a wide variety of situations, even in the presence of complicated dependence. Use of the method thus opens the door to the analysis of random phenomena arising in areas including statistics, physics, and molecular biology. Though Stein's method for normal approximation is now mature, the literature has so far lacked a complete self contained treatment. This volume contains thorough coverage of the method’s fundamentals, includes a large number of recent developments in both theory and applications, and will help accelerate the appreciation, understanding, and use of Stein's method by providing the reader with the tools needed to apply it in new situations. It addresses researchers as well as graduate students in Probability, Statistics and Combinatorics.
650		0	_aMathematics.
650		0	_aDistribution (Probability theory).
650	1	4	_aMathematics.
650	2	4	_aProbability Theory and Stochastic Processes.
700	1		_aGoldstein, Larry. _eauthor.
700	1		_aShao, Qi-Man. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642150067
830		0	_aProbability and Its Applications, _x1431-7028
856	4	0	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-15007-4
596			_a19
942			_cLIBRO_ELEC
999			_c202800 _d202800