8 citations · 8 across the 2 of their papers we have counts for
3 papers
math.PR2025
Self-Normalized Moderate Deviations for Degenerate U-Statistics
Lin Ge, Hailin Sang, Qi-Man Shao
In this paper, we study self-normalized moderate deviations for degenerate { }-statistics of order . Let be i.i.d. random variables and consider symmetric…
math.PR2023★ 8 cited
Self-normalized Cramér type moderate deviations for martingales and applications
Xiequan Fan, Qi-Man Shao
Cramér's moderate deviations give a quantitative estimate for the relative error of the normal approximation and provide theoretical justifications for many estimator used in stati…
math.PR2021
Self-normalized Cramer moderate deviations for a supercritical Galton-Watson process
Xiequan Fan, Qi-Man Shao
Let be a supercritical Galton-Watson process. Consider the Lotka-Nagaev estimator for the offspring mean. In this paper, we establish self-normalized Cramér type m…