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A quantitative CLT for the zeros of random trigonometric polynomials
Ao Huang, Zhonggen Su, Xiaolin Wang
Let , , be a stationary Gaussian trigonometric polynomial, and let denote the number of zeros of the rescaled process on . We e…
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…
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…
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_…
Approximation of Sums of Locally Dependent Random Variables via Perturbation of Stein Operator
Zhonggen Su, Vladimir V. Ulyanov, Xiaolin Wang
Let be a family of locally dependent nonnegative integer-valued random variables, and consider the sum . We first establish a general…