Asymptotic anytime-valid confidence sequences are constructed for nondegenerate and degenerate U-statistics via Hoeffding projections and a new SAGE boundary for quadratic Gaussian chaos, attaining optimal time-uniform rates.
Sz´ ekely, Maria L
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Asymptotic Anytime-Valid Inference for U-statistics
Asymptotic anytime-valid confidence sequences are constructed for nondegenerate and degenerate U-statistics via Hoeffding projections and a new SAGE boundary for quadratic Gaussian chaos, attaining optimal time-uniform rates.