Lin Ge

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20132025

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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 { $U$ }-statistics of order $2$ . Let ${X_{i}, i \geq 1}$ be i.i.d. random variables and consider symmetric…

math.PR2013

Further Refinement of Self-normalized Cram\a'{e}r-type moderate Deviations

Hailin Sang, Lin Ge

In this paper, we study the self-normalized Cram\a'{e}r-type moderate deviations for centered independent random variables $X_{1}, X_{2}, ...$ with $0 < E ∣ X_{i} ∣^{3} < \infty$ . The main resul…