Strong approximation of continuous time stochastic processes

DOI10.1016/0047-259X(89)90063-8zbMath0689.60037OpenAlexW2000901247MaRDI QIDQ581920

Ernst Eberlein

Publication date: 1989

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0047-259x(89)90063-8

zbMATH Keywords

strong approximationdependent random variablesconditional increments

Mathematics Subject Classification ID

Gaussian processes (60G15) Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17) Markov processes (60J99) Foundations of stochastic processes (60G05)

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Cites Work

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• On strong invariance principles under dependence assumptions
• Almost sure invariance principles for partial sums of mixing B-valued random variables
• Finitely determined processes - An indiscrete approach
• Approximation theorems for independent and weakly dependent random vectors
• The Wasserstein distance and approximation theorems
• Measures of Dependence For Processes in metric spaces
• A Functional Central Limit Theorem for Semimartingales
• Survey of Measurable Selection Theorems
• Strong approximation of very weak Bernoulli processes
• Distances of Probability Measures and Random Variables
• Weak convergence of probability measures and random functions in the function space D[0,∞)