On \(L_ p\)-convergence rates for statistical functions with application to L-estimates

DOI10.1007/BF02480996zbMath0563.62013OpenAlexW2065788186MaRDI QIDQ1057585

Ibrahim A. Ahmad

Publication date: 1983

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02480996

zbMATH Keywords

empirical distributionU statisticsBerry-Esseen theoremL-estimatesL sub(p) convergence ratesstatistical function

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of parametric tests (62F05)

Related Items (2)

On the normal approximations of \(V\)- and \(L\)-statistics ⋮ On the mean square error of smooth \(L\)-estimator

Cites Work

• Unnamed Item
• A nonuniform bound on convergence to normality
• The Berry-Esseen theorem for U-statistics
• On the Accuracy of Gaussian Approximation to the Distribution Functions of Sums of Independent Variables
• On the Asymptotic Distribution of Differentiable Statistical Functions

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