3 papers
math.PR2025
Non-uniform bounds for non-normal approximation via Stein's method with applications to the Curie--Weiss model and the imitative monomer-dimer model
Lê VÇn Thà nh, Nguyen Ngoc Tu
This paper establishes a non-uniform Berry--Esseen bound for non-normal approximation using Stein's method. The main theorem generalizes the result of the authors in [Comptes Rendu…
math.PR2025
Non-uniform Berry--Esseen bounds for exchangeable pairs with applications to the mean-field classical -vector models and Jack measures
Lê VÇn Thà nh, Nguyen Ngoc Tu
This paper establishes a non-uniform Berry--Esseen bound in normal approximation for exchangeable pairs using Stein's method via a concentration inequality approach. The main theor…
math.PR2024
On Rio's proof of limit theorems for dependent random fields
Lê VÇn Thà nh
This paper presents an exposition of Rio's proof of the strong law of large numbers and extends his method to random fields. In addition to considering the rate of convergence in t…