Functional central limit theorem for double-indexed summation process

DOI10.1007/s10986-005-0034-3zbMath1102.60029OpenAlexW1997235557MaRDI QIDQ852289

Vaidotas Zemlys, Alfredas Račkauskas

Publication date: 28 November 2006

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

Full work available at URL: https://doi.org/10.1007/s10986-005-0034-3

zbMATH Keywords

Hölder spacesinvariance principleBrownian sheet functional

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Functional limit theorems; invariance principles (60F17)

Related Items (1)

A Hölderian functional central limit theorem for a multi-indexed summation process

Cites Work

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• Lipschitz smoothness and convergence with applications to the central limit theorem for summation processes
• Necessary and sufficient condition for the functional central limit theorem in Hölder spaces
• Weak convergence and empirical processes. With applications to statistics
• Inequalities with Applications to the Weak Convergence of Random Processes with Multi-Dimensional Time Parameters
• On Convergence of Stochastic Processes

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