A Berry-Esseen bound for \(U\)-statistics in the non-i. i. d. case
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Publication:1582131
DOI10.1023/A:1007889323347zbMath0964.62035MaRDI QIDQ1582131
Publication date: 19 July 2001
Published in: Journal of Theoretical Probability (Search for Journal in Brave)
Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20)
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Moderate deviation probabilities for open convex sets: nonlogarithmic behavior. ⋮ Differential calculus for linear operators represented by finite signed measures and applications ⋮ Self-normalized Cramér-type large deviations for independent random variables. ⋮ Normal approximation for nonlinear statistics using a concentration inequality approach ⋮ On normal approximations to \(U\)-statistics ⋮ Refined self-normalized large deviations for independent random variables
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