Order statistics and concentration of l_r norms for log-concave vectors
arXiv:1011.6610 · doi:10.1016/j.jfa.2011.02.013
Abstract
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.
17 pages
References in corpus (2)
Cited by in corpus (7)
- Tail estimates for norms of sums of log-concave random vectors
- Geometry of log-concave Ensembles of random matrices and approximate reconstruction
- Weak and strong moments of l_r-norms of log-concave vectors
- On generic chaining and the smallest singular value of random matrices with heavy tails
- Modified Paouris inequality
- Some remarks on the Sudakov minoration
- Non-asymptotic bounds for percentiles of independent non-identical random variables