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berry-esseen bound 1combinatorial designs 1hypergraph theory 1incomplete u-statistics 1kernel tests 1u-statistics 1

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1 paper

math.ST2026

Incomplete U-Statistics of Equireplicate Designs: Berry-Esseen Bound and Efficient Construction

Cesare Miglioli, Jordan Awan

The paper develops a hypergraph‑based framework for incomplete U‑statistics, proving a Berry‑Esseen bound that allows Gaussian approximations even in degenerate cases, and provides…