Tight Chernoff-Like Bounds Under Limited Independence
arXiv:2209.01587
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.
The full version of the RANDOM'22 conference paper