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Concentration inequalities: a nonasymptotic theory of independence

✍ Scribed by Boucheron, Stéphane;Lugosi, GÑbor;Massart, Pascal

Publisher
Oxford University Press
Year
2016
Tongue
English
Leaves
492
Category
Library
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✦ Table of Contents

Michel Ledoux: Foreword1: Introduction2: Basic inequalities3: Bounding the variance4: Basic information inequalities5: Logarithmic Sobolev inequalities6: The entropy method7: Concentration and isoperimetry8: The transportation method9: Influences and threshold phenomena10: Isoperimetry on the hypercube and Gaussian spaces11: The variance of suprema of empirical processes12: Suprema of empirical processes: exponential inequalities13: The expected value of suprema of empirical processes14: *Q-entropies15: Moment inequalities

✦ Subjects

Inequalities (Mathematics);Probabilities

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