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

DOI10.1134/S0037446611040045zbMath1242.62015OpenAlexW2115340730MaRDI QIDQ642072

V. A. Zhechev, I. S. Borisov

Publication date: 25 October 2011

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

Full work available at URL: https://doi.org/10.1134/s0037446611040045

zbMATH Keywords

invariance principlestationary sequences\(\varphi\)-mixing

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Functional limit theorems; invariance principles (60F17)

Cites Work

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• A note on invariance principles for v. Mises' statistics
• The almost sure invariance principle for the empirical process of U- statistic structure
• Functional limit theorems for U-statistics
• Asymptotic distribution of symmetric statistics
• Orthogonal series and limit theorems for canonical U-and V-statistics of stationary connected observations
• On the Asymptotic Distribution of Differentiable Statistical Functions

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