Invariance Principles for Products ofU-Statistics Without Variance

DOI10.1080/03610926.2010.530371zbMath1250.60017OpenAlexW2069729741MaRDI QIDQ2884869

Ke Ang Fu

Publication date: 18 May 2012

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2010.530371

zbMATH Keywords

Wiener processweak invariance principlefunctional limit theorem\(U\)-statisticsself-normalization

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Functional limit theorems; invariance principles (60F17)

Cites Work

• A weak invariance principle for self-normalized products of sums of mixing sequences
• Invariance principles for U-statistics and von Mises functionals
• Asymptotics for products of sums and \(U\)-statistics
• On weak approximations of \(U\)-statistics
• A generalization of strassen's functional LIL
• Some results on two-sided LIL behavior
• Approximation Theorems of Mathematical Statistics
• Self-Normalized Processes
• A Class of Statistics with Asymptotically Normal Distribution
• The Theory of Unbiased Estimation

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