Approximations related to triplewise independent random variables
Probability
2026-07-06 v1
Abstract
In this article, we first discuss how triplewise independent random variables (rvs) are connected to a complete bipartite graph. Using the connection, we construct a sequence of triplewise independent rvs. We next consider a variance gamma (VG) approximation of sums of such triplewise independent rvs. Using Stein's method, we derive our bounds. Related limit theorems are also discussed.
Cite
@article{arxiv.2607.04730,
title = {Approximations related to triplewise independent random variables},
author = {Aditi Panda and Kalyan Barman},
journal= {arXiv preprint arXiv:2607.04730},
year = {2026}
}