Berry-Esseen bounds for functionals of independent random variables

IF 1.1 2区数学 Q3 STATISTICS & PROBABILITY

Stochastic Processes and their Applications Pub Date : 2025-01-20 DOI:10.1016/j.spa.2025.104574

Qi-Man Shao , Zhuo-Song Zhang

引用次数: 0

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.

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来源期刊

Stochastic Processes and their Applications 数学-统计学与概率论

CiteScore

2.90

自引率

7.10%

发文量

180

审稿时长

23.6 weeks

期刊介绍： Stochastic Processes and their Applications publishes papers on the theory and applications of stochastic processes. It is concerned with concepts and techniques, and is oriented towards a broad spectrum of mathematical, scientific and engineering interests. Characterization, structural properties, inference and control of stochastic processes are covered. The journal is exacting and scholarly in its standards. Every effort is made to promote innovation, vitality, and communication between disciplines. All papers are refereed.