A general strong approximation theorem for dependent \(\mathbb R^d\)-valued random vectors

DOI10.1016/J.JMAA.2010.08.064zbMath1227.60035OpenAlexW2031635396MaRDI QIDQ719544

Ke Ang Fu

Publication date: 10 October 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.08.064

zbMATH Keywords

Brownian motionstrong approximationmixing dependence

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Related Items (1)

A note on the Chover-type law of the iterated logarithm for the weighted partial sums of \(\alpha\)-mixing sequences

Cites Work

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• Approximation theorems for independent and weakly dependent random vectors
• Almost sure invariance principles for mixing sequences of random variables
• A new strong invariance principle for sums of independent random vectors
• A generalization of strassen's functional LIL
• Some results on two-sided LIL behavior
• Almost sure invariance principles for partial sums of weakly dependent random variables

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