A central limit theorem for incomplete U-statistics over triangular arrays

DOI10.1214/20-BJPS492zbMath1474.60056arXiv2003.10115OpenAlexW3202910586MaRDI QIDQ2244842

Sara Terveer, Matthias Loewe

Publication date: 12 November 2021

Published in: Brazilian Journal of Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.10115

zbMATH Keywords

central limit theoremU-statisticstriangular arraysincomplete U-statistics

Mathematics Subject Classification ID

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

Related Items (2)

Unnamed Item ⋮ On the consistency of incomplete U-statistics under infinite second-order moments

Cites Work

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• Limit theorems for a triangular scheme of U-statistics with applications to inter-point distances
• . strong law of large numbers for \(U\)-statistics
• Moderate and large deviations for \(U\)-processes
• The Edgeworth expansion for U-statistics of degree two
• A large deviation principle for \(m\)-variate von Mises-statistics and \(U\)- statistics
• Precise asymptotics for products of sums and \(U\)-statistics
• A functional limit theorem for random graphs with applications to subgraph count statistics
• The asymptotic distributions of incomplete U-statistics
• Large Deviations Principle for Partial Sums U-Processes
• A Class of Statistics with Asymptotically Normal Distribution

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