Order statistics and concentration of l_r norms for log-concave vectors

Details Order statistics and concentration of l_r norms for log-concave vectors Order statistics and concentration of l_r norms for log-concave vectors

2010-11-30

arxiv.org/abs/1011.6610v1

Mathematics

Probability

17 pages

Scientific paper

We establish upper bounds for tails of order statistics of isotropic
log-concave vectors and apply them to derive a concentration of l_r norms of
such vectors.

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