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Concentration Inequalities for Sums and Martingales
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| Edición: | 1st ed. 2015. |
| Colección: | SpringerBriefs in Mathematics,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-319-22099-4 | ||
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| 024 | 7 | |a 10.1007/978-3-319-22099-4 |2 doi | |
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| 100 | 1 | |a Bercu, Bernard. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Concentration Inequalities for Sums and Martingales |h [electronic resource] / |c by Bernard Bercu, Bernard Delyon, Emmanuel Rio. |
| 250 | |a 1st ed. 2015. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2015. | |
| 300 | |a X, 120 p. 9 illus. in color. |b online resource. | ||
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| 490 | 1 | |a SpringerBriefs in Mathematics, |x 2191-8201 | |
| 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. | ||
| 650 | 0 | |a Probabilities. | |
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a History. | |
| 650 | 0 | |a Functions of complex variables. | |
| 650 | 1 | 4 | |a Probability Theory. |
| 650 | 2 | 4 | |a History of Mathematical Sciences. |
| 650 | 2 | 4 | |a Several Complex Variables and Analytic Spaces. |
| 700 | 1 | |a Delyon, Bernard. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Rio, Emmanuel. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319220987 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319221007 |
| 830 | 0 | |a SpringerBriefs in Mathematics, |x 2191-8201 | |
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