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math.PR2023
High-dimensional Central Limit Theorems by Stein's Method in the Degenerate Case
Xiao Fang, Yuta Koike, Song-Hao Liu +1
In the literature of high-dimensional central limit theorems, there is a gap between results for general limiting correlation matrix and the strongly non-degenerate case. For t…
math.PR2021★ 2 cited
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…