1 citations · 1 across the 8 of their papers we have counts for
9 papers
Optimal normal approximation for symmetric statistics
Bing-Yi Jing, Yiming Liu, Shaochen Wang +1
Rates of convergence in normal approximation are fundamental to probability and statistics. The theory has evolved from normalized sums to Studentized statistics, smooth functions…
Villani's conjecture for Kac's walk
Fuqing Gao, Shaochen Wang, Xianjie Xia
We prove Villani's conjecture on entropy production for Kac's walk with uniform collision angles. For every , with total collision rate , the optimal entropy production…
Moderate Deviations for the Largest Eigenvalue of a Randomly Deformed Gaussian Unitary Ensemble
Shaochen Wang, Guangyu Yang
We study moderate deviations for the largest eigenvalue of the randomly deformed Gaussian unitary ensemble introduced by Johansson (Probab. Theory Relat. Fields, {\bf 138}: 75--112…
Functional Limit Theorems for Random Least Common Multiples
Shaochen Wang, Guangyu Yang, Wang Zhou
Let be a subset of obtained by retaining each integer independently with fixed probability , and let be the least common multiple of the i…
Cramér-Type Moderate Deviations for Engel's Series via a Martingale Approach
Shaochen Wang, Guangyu Yang
Let be uniformly distributed on , and let be the digits of its Engel series expansion. We establish a Cramér-type moderate deviation expansion for $(\lo…
Moderate deviations for the Maki--Thompson rumour model
Shaochen Wang, Guangyu Yang
The final proportion of ignorants in the classical Maki--Thompson rumour model is known to satisfy the law of large numbers, the central limit theorem, and the large deviation prin…