Rate of convergence in the central limit theorem and in the strong law of large numbers for von Mises statistics

DOI10.1007/BF01902875zbMath0458.62015OpenAlexW1982883863MaRDI QIDQ1151682

Paul Janssen

Publication date: 1981

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/175798

zbMATH Keywords

rate of convergencestrong law of large numbersMises statisticslinear combination of U-statistics

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Nonparametric inference (62G99)

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Cites Work

• Unnamed Item
• Convergence rates for U-statistics and related statistics
• On the Berry-Esseen theorem for U-statistics
• The Berry-Esseen theorem for U-statistics
• Asymptotic Normality of Simple Linear Rank Statistics Under Alternatives
• Splitting a Single State of a Stationary Process into Markovian States
• A Class of Statistics with Asymptotically Normal Distribution
• On the Asymptotic Distribution of Differentiable Statistical Functions