A lower bound for the normal approximation of U-statistics

DOI10.1007/BF02613314zbMath0655.62014OpenAlexW2076363084MaRDI QIDQ1109446

Yoshihiko Maesono

Publication date: 1988

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/176189

zbMATH Keywords

lower boundU-statisticsrates of convergence to the normal distribution

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20)

Related Items (2)

On the normal approximations of \(V\)- and \(L\)-statistics ⋮ On the normal approximation of U-statistics of degree two

Cites Work

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• Characterizing the rate of convergence in the central limit theorem
• Convergence rates for U-statistics and related statistics
• On the Berry-Esseen theorem for U-statistics
• The Berry-Esseen theorem for U-statistics
• Edgeworth expansions in nonparametric statistics
• Reversing the Berry-Esseen Inequality
• On the Precision of an Estimate of the Remainder Term in the Central Limit Theorem
• A Class of Statistics with Asymptotically Normal Distribution

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