Functional limit theorems for U-statistics

DOI10.1007/BF01159712zbMath0659.60058MaRDI QIDQ1112444

A. F. Ronzhin

Publication date: 1986

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

weak convergencecentral limit theoremU-statisticvector valued Wiener process

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Functional limit theorems; invariance principles (60F17)

Related Items

The functional limit theorem for the canonical \(U\)-processes defined on dependent trials

Cites Work

• Functional limit theorems for U-statistics in the degenerate case
• Large sample theory for U-statistics and tests of fit
• Weak convergence of generalized U-statistics
• Short distances, flat triangles and Poisson limits
• Asymptotic Normality of Simple Linear Rank Statistics Under Alternatives
• A Class of Statistics with Asymptotically Normal Distribution
• On the Asymptotic Distribution of Differentiable Statistical Functions
• The Theory of Unbiased Estimation
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