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math.PR2026
Refined Cramér-type moderate deviations by Stein's method under dependence
Hui-Lin Liu, Song-Hao Liu, Dawei Lu
In this paper, we establish refined Cramér-type moderate deviations for dependent random variables at any fixed order . Combining higher-order Stein identities with exponen…
math.PR2026
Berry-Esseen Bounds for the Number of Real Zeros of Gaussian Weyl Polynomials
Yuchen Wang, Dawei Lu, Song-Hao Liu
We establish Berry-Esseen bounds for the number of real roots of Gaussian Weyl polynomials , where denotes the degree and is assumed to be sufficiently large. For each fix…