Between Paouris concentration inequality and variance conjecture

B. Fleury

Annales de l'I.H.P. Probabilités et statistiques (2010)

  • Volume: 46, Issue: 2, page 299-312
  • ISSN: 0246-0203

Abstract

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We prove an almost isometric reverse Hölder inequality for the euclidean norm on an isotropic generalized Orlicz ball which interpolates Paouris concentration inequality and variance conjecture. We study in this direction the case of isotropic convex bodies with an unconditional basis and the case of general convex bodies.

How to cite

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Fleury, B.. "Between Paouris concentration inequality and variance conjecture." Annales de l'I.H.P. Probabilités et statistiques 46.2 (2010): 299-312. <http://eudml.org/doc/240439>.

@article{Fleury2010,
abstract = {We prove an almost isometric reverse Hölder inequality for the euclidean norm on an isotropic generalized Orlicz ball which interpolates Paouris concentration inequality and variance conjecture. We study in this direction the case of isotropic convex bodies with an unconditional basis and the case of general convex bodies.},
author = {Fleury, B.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {concentration inequalities; convex bodies},
language = {eng},
number = {2},
pages = {299-312},
publisher = {Gauthier-Villars},
title = {Between Paouris concentration inequality and variance conjecture},
url = {http://eudml.org/doc/240439},
volume = {46},
year = {2010},
}

TY - JOUR
AU - Fleury, B.
TI - Between Paouris concentration inequality and variance conjecture
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2010
PB - Gauthier-Villars
VL - 46
IS - 2
SP - 299
EP - 312
AB - We prove an almost isometric reverse Hölder inequality for the euclidean norm on an isotropic generalized Orlicz ball which interpolates Paouris concentration inequality and variance conjecture. We study in this direction the case of isotropic convex bodies with an unconditional basis and the case of general convex bodies.
LA - eng
KW - concentration inequalities; convex bodies
UR - http://eudml.org/doc/240439
ER -

References

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