1 citations · 1 across the 4 of their papers we have counts for
4 papers
Non-uniform Berry--Esseen bounds for exchangeable pairs with applications to the mean-field classical -vector models and Jack measures
Lê Vǎn Thành, 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…
On Rio's proof of limit theorems for dependent random fields
Lê Vǎn Thành
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…
On weak laws of large numbers for maximal partial sums of pairwise independent random variables
Lê Vǎn Thành
This paper develops Rio's method [C. R. Acad. Sci. Paris Sér. I Math., 1995] to prove the weak law of large numbers for maximal partial sums of pairwise independent random variable…
On a new concept of stochastic domination and the laws of large numbers
Lê Vǎn Thành
Consider a sequence of positive integers , and an array of nonnegative real numbers satisfying $\sup_{n\ge 1}\sum_{i=1}^{k_n}a_{n,i…