2 citations · 3 across the 5 of their papers we have counts for
8 papers · 1 filter
Cramér-type Moderate deviations under local dependence
Song-Hao Liu, Zhuo-Song Zhang
We establish Cramér-type moderate deviation theorems for sums of locally dependent random variables and combinatorial central limit theorems. Under some mild exponential moment con…
Dense multigraphon-valued stochastic processes and edge-changing dynamics in the configuration model
Adrian Röllin, Zhuo-Song Zhang
Time-evolving random graph models have appeared and have been studied in various fields of research over the past decades. However, the rigorous mathematical treatment of large gra…
Berry--Esseen bounds for self-normalized sums of local dependent random variables
Zhuo-Song Zhang
In this paper, we prove a Berry--Esseen bound with optimal order for self-normalized sums of local dependent random variables under some mild dependence conditions. The proof is ba…
Berry--Esseen bounds for generalized statistics
Zhuo-Song Zhang
In this paper, we establish optimal Berry--Esseen bounds for the generalized -statistics. The proof is based on a new Berry--Esseen theorem for exchangeable pair approach by Ste…
Berry--Esseen Bounds for Multivariate Nonlinear Statistics with Applications to M-estimators and Stochastic Gradient Descent Algorithms
Qi-Man Shao, Zhuo-Song Zhang
We establish a Berry--Esseen bound for general multivariate nonlinear statistics by developing a new multivariate-type randomized concentration inequality. The bound is the best po…
Cramér-type moderate deviation of normal approximation for unbounded exchangeable pairs
Zhuo-Song Zhang
In Stein's method, the exchangeable pair approach is commonly used to estimate the approximation errors in normal approximation. In this paper, we establish a Cramér-type moderate…