Some deviation inequalities

Details Some deviation inequalities Some deviation inequalities

1990-09-05

arxiv.org/abs/math/9201216v1

Mathematics

Functional Analysis

Scientific paper

We introduce a concentration property for probability measures on $\scriptstyle{R^n}$, which we call Property~($\scriptstyle\tau$); we show that this property has an interesting stability under products and contractions (Lemmas 1,~2,~3). Using property~($\scriptstyle\tau$), 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.}

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