Berry-Esseen bounds for von Mises and \(U\)-statistics

DOI10.1023/A:1011066719481zbMath0991.62009OpenAlexW2469686429MaRDI QIDQ1347380

Vidmantas Bentkus, I. B. Alberink

Publication date: 3 June 2002

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1011066719481

zbMATH Keywords

rate of convergenceU-statisticsBerry-Esseen boundnormal approximationsvon Mises statistics

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05)

Related Items (4)

Moderate deviation probabilities for open convex sets: nonlogarithmic behavior. ⋮ Computational aspects of Cui-Freeden statistics for equidistribution on the sphere ⋮ On normal approximations to \(U\)-statistics ⋮ Cramér type moderate deviation theorems for self-normalized processes

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