3 papers
math.PR2025
High-dimensional normal approximations for sums of Langevin Markov chains
Tian Shen, Zhonggen Su, Xiaolin Wang
Consider the well-known Langevin diffusion on and its Euler-Maruyama discretization give…
math.PR2025
Conditional central limit theorems for exponential random graphs
Xiao Fang, Song-Hao Liu, Zhonggen Su +1
In this paper, we study the Exponential Random Graph Models (ERGMs) conditioning on the number of edges. In subcritical region of model parameters, we prove a conditional Central L…
math.PR2024
Three-Parameter Approximations of Sums of Locally Dependent Random Variables via Stein's Method
Zhonggen Su, Xiaolin Wang
Let be a family of locally dependent non-negative integer-valued random variables with finite expectations and variances. We consider the sum $W=\sum_{i\in J}X_…