Improved one-sided deviation inequalities under regularity assumptions for product measures
Probability
2019-05-02 v3
Abstract
This note is concerned with lower tail estimates for product measures. Some improved deviation inequalities are obtained for functions satisfying some regularity and monotonicity assumptions. The arguments are based on semigroup interpolation together with Harris's negative association inequality and hypercontractive estimates.
Cite
@article{arxiv.1808.09692,
title = {Improved one-sided deviation inequalities under regularity assumptions for product measures},
author = {Kevin Tanguy},
journal= {arXiv preprint arXiv:1808.09692},
year = {2019}
}
Comments
14 pages