From Ball's cube slicing inequality to Khinchin-type inequalities for negative moments
Probability
2021-11-16 v1 Functional Analysis
Abstract
We establish a sharp moment comparison inequality between an arbitrary negative moment and the second moment for sums of independent uniform random variables, which extends Ball's cube slicing inequality.
Keywords
Cite
@article{arxiv.2011.12251,
title = {From Ball's cube slicing inequality to Khinchin-type inequalities for negative moments},
author = {Giorgos Chasapis and Hermann König and Tomasz Tkocz},
journal= {arXiv preprint arXiv:2011.12251},
year = {2021}
}