Higher order concentration in presence of Poincar\'e-type inequalities
Probability
2019-11-26 v2
Abstract
We show sharpened forms of the concentration of measure phenomenon typically centered at stochastic expansions of order for any . Here we focus on differentiable functions on the Euclidean space in presence of a Poincar\'e-type inequality. The bounds are based on -th order derivatives.
Keywords
Cite
@article{arxiv.1803.05190,
title = {Higher order concentration in presence of Poincar\'e-type inequalities},
author = {Friedrich Götze and Holger Sambale},
journal= {arXiv preprint arXiv:1803.05190},
year = {2019}
}
Comments
final version. arXiv admin note: text overlap with arXiv:1709.06838