A. Basse-O’Connor

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math.PR2026

Quantitative bounds for high-dimensional non-linear functionals of Gaussian processes

Andreas Basse-O'Connor, David Kramer-Bang

In this paper, we establish explicit quantitative Berry-Esseen bounds in the hyper-rectangle distance $d_{R}$ , the convex distance $d_{C}$ and the $1$ -Wasserstein distance…

math.PR2025

Fourth-Moment Theorems for Sums of Multiple Integrals

Andreas Basse-O'Connor, David Kramer-Bang, Clement Svendsen

Nualart & Pecatti ([Nualart and Peccati, 2005, Thm 1]) established the first fourth-moment theorem for random variables in a fixed Wiener chaos, i.e. they showed that convergence o…