On the normal approximations of \(V\)- and \(L\)-statistics

DOI10.1016/0378-3758(94)90148-1zbMath0813.62013OpenAlexW2002892109MaRDI QIDQ1338384

Yoshihiko Maesono

Publication date: 6 June 1995

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(94)90148-1

zbMATH Keywords

Stein's methodinequalityrates of convergencenormal distributionU-statisticsBerry-Esseen boundV-statisticsL-statisticslower bound of the uniform distance

Mathematics Subject Classification ID

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

Related Items (1)

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Cites Work

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• On the normal approximation of U-statistics of degree two
• On \(L_ p\)-convergence rates for statistical functions with application to L-estimates
• A lower bound for the normal approximation of U-statistics
• A note on differentials and the CLT and LIL for statistical functions, with application to M-estimates
• Rate of convergence in the central limit theorem and in the strong law of large numbers for von Mises statistics
• A Berry-Esseen theorem for linear combinations of order statistics
• \(L_1\) bounds for asymptotic normality of m-dependent sums using Stein's technique
• Reversing the Berry-Esseen Inequality
• Splitting a Single State of a Stationary Process into Markovian States
• On the Asymptotic Distribution of Differentiable Statistical Functions

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