Variance gamma approximation to sums of triplewise independent random variables

Aditi Panda; Kalyan Barman

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arXiv · 2607.04730

Variance gamma approximation to sums of triplewise independent random variables

Aditi Panda·Kalyan Barman

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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 and the generalized zero-bias transformation, we obtain our bounds. Related limit theorems are also discussed.

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Aditi Panda, Kalyan Barman. 2026-07-06. Variance gamma approximation to sums of triplewise independent random variables. https://arxiv.org/abs/2607.04730

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