1 citations · 1 across the 3 of their papers we have counts for
6 papers
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…
Intertwining Operator for and Orthogonal Polynomials
Zhuohui Zhang
We calculate the module structure for the principal series representation of . Furthermore, we introduced a hypergeometric generating function…
Principal Series Representation of and Its Intertwining Operator
Zhuohui Zhang
In this paper, following a similar procedure developed by Buttcane and Miller in \cite{MillerButtcane} for $SL(3,\RR)$, the $(\frakg,K)$-module structure of the minimal principal s…