On the coverage of Strassen-type sets by sequences of Wiener processes

DOI10.1007/BF01066710zbMath0780.60031OpenAlexW1965789503MaRDI QIDQ685727

Pál Révész, Paul Deheuvels

Publication date: 3 October 1993

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

Full work available at URL: https://doi.org/10.1007/bf01066710

zbMATH Keywords

Wiener processeslaw of the iterated logarithmfunctional law of the iterated logarithm

Mathematics Subject Classification ID

Brownian motion (60J65) Functional limit theorems; invariance principles (60F17)

Related Items (3)

An embedding for the Kesten-Spitzer random walk in random scenery ⋮ Strassen-type laws for independent random walks ⋮ On the almost sure topological limits of collections of local empirical processes at many different scales

Cites Work

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• Addendum to: An iterated logarithm law for families of Brownian paths
• Functional laws of the iterated logarithm for the increments of empirical and quantile processes
• Functional laws of the iterated logarithm for large increments of empirical and quantile processes
• How big are the increments of a Wiener process?
• Strassen-type functional laws for strong topologies
• An iterated logarithm law for families of Brownian paths
• Limit theorems for moving averages of independent random vectors
• [https://portal.mardi4nfdi.de/wiki/Publication:4150921 On large intervals in the Cs�rg?-R�v�sz theorem on increments of a Wiener process]
• A generalization of Strassen's functional law of iterated logarithm
• Reproducing kernel Hilbert spaces and the law of the iterated logarithm for Gaussian processes
• An invariance principle for the law of the iterated logarithm
• Asymptotic probabilities and differential equations
• Some Asymptotic Formulas for Wiener Integrals
• Large deviations for processes with independent increments

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