The exact approximation order in the central limit theorem for randam u–statistics

DOI10.1080/07474948608836089zbMath0592.60016OpenAlexW2066469820MaRDI QIDQ3721512

Marc Aerts, Herman Callaert

Publication date: 1986

Published in: Sequential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07474948608836089

zbMATH Keywords

rates of convergencerandom stopping timerandomly indexed U-statistics

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Central limit and other weak theorems (60F05)

Cites Work

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• On the Berry-Esseen theorem for random U-statistics
• A counterexample in the approximation theory of random summation
• Inequalities for the $r$th Absolute Moment of a Sum of Random Variables, $1 \leqq r \leqq 2$
• A Class of Statistics with Asymptotically Normal Distribution

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