The Haar-function construction of brownian motion indexed by sets

DOI10.1007/BF00534954zbMath0506.60080OpenAlexW2087855167MaRDI QIDQ4743543

Ronald Pyke

Publication date: 1983

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00534954

zbMATH Keywords

continuous pathsBrownian motion indexed by setsHaar function constructionmultidimensionally indexed arrays

Mathematics Subject Classification ID

Brownian motion (60J65) Sample path properties (60G17)

Related Items (2)

A Haar-like construction for the Ornstein Uhlenbeck process ⋮ The Haar-function construction of brownian motion indexed by sets

Cites Work

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• On strong approximation of the multidimensional empirical process
• Central limit theorems for empirical measures
• Metric entropy of some classes of sets with differentiable boundaries
• Sample functions of the Gaussian process
• A Note on Uniform Convergence of Stochastic Processes
• The Haar-function construction of brownian motion indexed by sets
• A Multi-Parameter Gaussian Process
• Holder Conditions for Realizations of Gaussian Processes
• A Note on Uniform Convergence of Stochastic Processes

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