Tight Chernoff-Like Bounds Under Limited Independence
Probability
2022-09-07 v1 Data Structures and Algorithms
Statistics Theory
Statistics Theory
Abstract
This paper develops sharp bounds on moments of sums of k-wise independent bounded random variables, under constrained average variance. The result closes the problem addressed in part in the previous works of Schmidt et al. and Bellare, Rompel. We The work also discuss discusses other applications of independent interests, such as asymptotically sharp bounds on binomial moments.
Keywords
Cite
@article{arxiv.2209.01587,
title = {Tight Chernoff-Like Bounds Under Limited Independence},
author = {Maciej Skorski},
journal= {arXiv preprint arXiv:2209.01587},
year = {2022}
}
Comments
The full version of the RANDOM'22 conference paper