Concentration inequalities : a nonasymptotic theory of independence
محفوظ في:
| المؤلفون الرئيسيون: | , , |
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| مؤلفون آخرون: | |
| التنسيق: | Livre papier |
| اللغة: | Anglais |
| منشور في: |
Oxford :
Oxford university press
C 2013.
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| الموضوعات: | |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Concentration inequalities, a nonasymptotic theory of independence, Stéphane Boucheron, Gabor Lugosi, Pascal Massart, Oxford, Oxford university press, 2013, 978-0-19-174710-6 |
جدول المحتويات:
- Contient des exercices en fin de chapitres
- 1. Introduction
- 2. Basic inequalities
- 3. Bounding the variance
- 4. Basic information inequalities
- 5. Logarithmic Sobolev inequalities
- 6. The entropy method
- 7. Concentration and isoperimetry
- 8. The transportation method
- 9. Influences and threshold phenomena
- 10. Isoperimetry on the hypercube and gaussian spaces
- 11. The variance of suprema of empirical processes
- 12. Suprema of empirical processes : exponential inequalities
- 13. The expected value of suprema of empirical processes
- 14. -Entropies
- 15. Moment inequalities