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math.PR2026
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 $(\l…
math.PR2026
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…