On Berry-Esséen rates for \(m\)-dependent \(U\)-statistics

DOI10.1016/S0167-7152(98)00128-XzbMath0923.60032MaRDI QIDQ1272997

Qiying Wang

Publication date: 25 October 1999

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

\(U\)-statisticsBerry-Esséen bound\(m\)-dependent

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05)

Related Items (2)

Statistical estimation of quadratic Rényi entropy for a stationarym-dependent sequence ⋮ U-statistic based on overlapping sample spacings

Cites Work

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• On asymptotic normality for M-dependent U-statistics
• Some results on the \(L_ p\)-convergence \((p\geq 1)\) of U-statistics
• A Berry-Esseen bound for functions of independent random variables
• The Berry-Esseen theorem for U-statistics
• On U-statistics and v. mise? statistics for weakly dependent processes
• A method for the derivation of limit theorems for sums of m-dependent random variables
• Limiting behavior of regular functionals of empirical distributions for stationary *-mixing processes
• A Class of Statistics with Asymptotically Normal Distribution

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