| Concentration Inequalities for Sums and Martingales 2015 Edition Contributor(s): Bercu, Bernard (Author), Delyon, Bernard (Author), Rio, Emmanuel (Author) |
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ISBN: 3319220985 ISBN-13: 9783319220987 Publisher: Springer OUR PRICE: $75.99 Product Type: Paperback - Other Formats Published: October 2015 |
| Additional Information |
| BISAC Categories: - Mathematics | Probability & Statistics - General - Mathematics | History & Philosophy - Mathematics | Mathematical Analysis |
| Dewey: 510.9 |
| Series: Springerbriefs in Mathematics |
| Physical Information: 0.3" H x 6.07" W x 9.17" (0.60 lbs) 120 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |