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math.ST2026
Asymptotic Anytime-Valid Inference for U-statistics
Leheng Cai, Qirui Hu, Weijia Li
We study asymptotic anytime-valid confidence sequences for degree-two U-statistics under continuous monitoring. In the nondegenerate case, Hoeffding's projection reduces the proble…
math.ST2026
Strong Gaussian approximation for U-statistics in high dimensions and beyond
Weijia Li, Leheng Cai, Qirui Hu
We establish a strong Gaussian approximation for high-dimensional non-degenerate U-statistics with diverging dimension. Under mild assumptions, we construct, on a sufficiently rich…