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Concentration inequalities for sums ...

Bercu, Bernard.

Concentration inequalities for sums and martingales

Record Type:	Electronic resources : Monograph/item
Title/Author:	Concentration inequalities for sums and martingalesby Bernard Bercu, Bernard Delyon, Emmanuel Rio.
Author:	Bercu, Bernard.
other author:	Delyon, Bernard.
Published:	Cham :Springer International Publishing :2015.
Description:	x, 120 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Probabilities.
Online resource:	http://dx.doi.org/10.1007/978-3-319-22099-4
ISBN:	9783319220994$q(electronic bk.)

Concentration inequalities for sums and martingales
Bercu, Bernard.

Concentration inequalities for sums and martingales[electronic resource] /by Bernard Bercu, Bernard Delyon, Emmanuel Rio. - Cham :Springer International Publishing :2015. - x, 120 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

Classical Results -- Concentration Inequalities for Sums -- Concentration Inequalities for Martingales -- Applications in Probability and Statistics.

The purpose of this book is to provide an overview of historical and recent results on concentration inequalities for sums of independent random variables and for martingales. The first chapter is devoted to classical asymptotic results in probability such as the strong law of large numbers and the central limit theorem. Our goal is to show that it is really interesting to make use of concentration inequalities for sums and martingales. The second chapter deals with classical concentration inequalities for sums of independent random variables such as the famous Hoeffding, Bennett, Bernstein and Talagrand inequalities. Further results and improvements are also provided such as the missing factors in those inequalities. The third chapter concerns concentration inequalities for martingales such as Azuma-Hoeffding, Freedman and De la Pena inequalities. Several extensions are also provided. The fourth chapter is devoted to applications of concentration inequalities in probability and statistics.

ISBN: 9783319220994$q(electronic bk.)

Standard No.: 10.1007/978-3-319-22099-4doiSubjects--Topical Terms:

182046
Probabilities.

LC Class. No.: QA273

Dewey Class. No.: 519.2

Concentration inequalities for sums and martingales
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245 1 0 $a Concentration inequalities for sums and martingales $h [electronic resource] / $c by Bernard Bercu, Bernard Delyon, Emmanuel Rio.
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490 1 $a SpringerBriefs in mathematics, $x 2191-8198
505 0 $a Classical Results -- Concentration Inequalities for Sums -- Concentration Inequalities for Martingales -- Applications in Probability and Statistics.
520 $a The purpose of this book is to provide an overview of historical and recent results on concentration inequalities for sums of independent random variables and for martingales. The first chapter is devoted to classical asymptotic results in probability such as the strong law of large numbers and the central limit theorem. Our goal is to show that it is really interesting to make use of concentration inequalities for sums and martingales. The second chapter deals with classical concentration inequalities for sums of independent random variables such as the famous Hoeffding, Bennett, Bernstein and Talagrand inequalities. Further results and improvements are also provided such as the missing factors in those inequalities. The third chapter concerns concentration inequalities for martingales such as Azuma-Hoeffding, Freedman and De la Pena inequalities. Several extensions are also provided. The fourth chapter is devoted to applications of concentration inequalities in probability and statistics.
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650 0 $a Stochastic processes. $3 181874
650 0 $a Martingales (Mathematics) $3 182691
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650 2 4 $a History of Mathematical Sciences. $3 511733
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950 $a Mathematics and Statistics (Springer-11649)