Concentration Inequalities A Nonasymptotic Theory of Independence

by ; ;
  • ISBN13:


  • ISBN10:


  • Format: Paperback
  • Copyright: 2016-04-01
  • Publisher: Oxford University Press

Note: Supplemental materials are not guaranteed with Rental or Used book purchases.

Purchase Benefits

  • Free Shipping On Orders Over $35!
    Your order must be $35 or more to qualify for free economy shipping. Bulk sales, PO's, Marketplace items, eBooks and apparel do not qualify for this offer.
  • Get Rewarded for Ordering Your Textbooks! Enroll Now
List Price: $53.28 Save up to $7.99
  • Rent Book $45.29
    Add to Cart Free Shipping


Supplemental Materials

What is included with this book?

  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
  • The Rental copy of this book is not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

Author Biography

Stephane Boucheron, Laboratoire de Probabilites et Modeles Aleatoires, Universite Paris-Diderot,Gabor Lugosi, ICREA Research Professor, Pompeu Fabra University,Pascal Massart, Laboratoire de Mathematiques, Universite Paris Sud and Institut Universitaire de France

Stephane Boucheron is a Professor in the Applied Mathematics and Statistics Department at Universite Paris-Diderot, France.

Gabor Lugosi is ICREA Research Professor in the Department of Economics at the Pompeu Fabra University in Barcelona, Spain.

Pascal Massart is a Professor in the Department of Mathematics at Universite de Paris-Sud, France.

Table of Contents

Foreword, Michel Ledoux
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. Φ-entropies
15. Moment inequalities

Rewards Program

Write a Review