Geometric & Functional Analysis GAFA

, Volume 1, Issue 2, pp 188–197 | Cite as

Some deviation inequalities

  • B. Maurey


We introduce a concentration property for probability measures onR n , which we call Property (τ); we show that this property has an interesting stability under products and contractions (Lemmas 1, 2, 3). Using property (τ), we give a short proof for a recent deviation inequality due to Talagrand. In a third section, we also recover known concentration results for Gaussian measures using our approach.


Probability Measure Concentration Property Short Proof Gaussian Measure Concentration Result 
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Copyright information

© Birkhäuser Verlag 1991

Authors and Affiliations

  • B. Maurey
    • 1
  1. 1.Department of MathematicsUniversité Paris 7Paris Cedex 05France

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