219 citations · 538 across the 22 of their papers we have counts for
24 papers
A generalized Kubilius-Barban-Vinogradov bound for prime multiplicities
Louis H. Y. Chen, Arturo Jaramillo, Xiaochuan Yang
We present an assessment of the distance in total variation of \textit{arbitrary} collection of prime factor multiplicities of a random number in and a collect…
Stein's method of normal approximation: Some recollections and reflections
Louis H. Y. Chen
This paper is a short exposition of Stein's method of normal approximation from my personal perspective. It focuses mainly on the characterization of the normal distribution and th…
A probabilistic approach to the Erdös-Kac theorem for additive functions
Louis H. Y. Chen, Arturo Jaramillo, Xiaochuan Yang
We present a new perspective of assessing the rates of convergence to the Gaussian and Poisson distributions in the Erdös-Kac theorem for additive arithmetic functions of a ran…
Optimal Bounds in Normal Approximation for Many Interacting Worlds
Louis H. Y. Chen, Lê Vǎn Thành
In this paper, we use Stein's method to obtain optimal bounds, both in Kolmogorov and in Wasserstein distance, in the normal approximation for the empirical distribution of the gro…
Palm theory, random measures and Stein couplings
Louis H. Y. Chen, Adrian Röllin, Aihua Xia
We establish a general Berry-Esseen type bound which gives optimal bounds in many situations under suitable moment assumptions. By combining the general bound with Palm theory, we…
Stein's method via induction
Louis H. Y. Chen, Larry Goldstein, Adrian Röllin
Applying an inductive technique for Stein and zero bias couplings yields Berry-Esseen theorems for normal approximation for two new examples. The conditions of the main results do…