Berry-Esseen bounds for functionals of independent random variables

Qi-Man Shao and Zhuo-Song Zhang

Stochastic Processes and their Applications, 2025, vol. 183, issue C

Abstract: We develop a new Berry–Esseen bound for functionals of independent random variables by introducing a simple form of Chatterjee’s perturbative approach. The main result is applied to the weighted triangle counts in inhomogeneous random graphs, random field Curie–Weiss model, set approximation with random tessellations and random sphere of influence graph models. The rate of convergence is the best possible.

Keywords: Stein’s method; Generalized perturbative approach; Inhomogeneous random graphs; Random field Curie–Weiss model; Set approximation with random tessellations; Random sphere of influence graph models (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1016/j.spa.2025.104574

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