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Inventiones mathematicae

, Volume 126, Issue 3, pp 505–563 | Cite as

New concentration inequalities in product spaces

  • Michel Talagrand

Abstract.

We introduce three new ways to measure the “distance” from a point to a subset of a product space and we prove corresponding concentration inequalities. Each of them allows to control the fluctuation of a new class of random variables.

Keywords

Product Space Concentration Inequality 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Michel Talagrand
    • 1
  1. 1.Equipe d Analyse-Tour 56, E.R.A. au C.N.R.S. no. 754, Université Paris VI, 4 Pl Jussieu, F-75230 Paris Cedex 05, France FR

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