The law of the iterated logarithm and Marcinkiewicz law of large numbers for \(B\)-valued \(U\)-statistics

DOI10.1007/BF02214082zbMath0855.60003OpenAlexW1982889682MaRDI QIDQ1923936

Zhonggen Su

Publication date: 27 January 1997

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02214082

zbMATH Keywords

law of large numberslaw of the iterated logarithmdecoupling inequality\(B\)-\(U\)-statistics

Mathematics Subject Classification ID

Strong limit theorems (60F15) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (1)

Characterization of LIL Behavior for Non-DegenerateB-ValuedU-Statistics

Cites Work

• Limit theorems for \(U\)-processes
• Inequalities for B-valued random vectors with applications to the strong law of large numbers
• Decoupling and Khintchine's inequalities for \(U\)-statistics
• Limits of canonical \(U\)-processes and \(B\)-valued \(U\)-statistics
• A remark on convergence in distribution of \(U\)-statistics
• Approximation Theorems of Mathematical Statistics
• Bounds on the tail probability of 𝑈-statistics and quadratic forms
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