Strassen's invariance principle for random subsequences

DOI10.1016/0167-7152(92)90047-9zbMath0751.60031OpenAlexW2080299730MaRDI QIDQ1185544

Zdzisław Rychlik, J. Zygo

Publication date: 28 June 1992

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(92)90047-9

zbMATH Keywords

martingale differencessums of independent random variablesrandom indicesStrassen's invariance principle

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Functional limit theorems; invariance principles (60F17)

Related Items (1)

Upper-lower class tests and frequency results along subsequences

Cites Work

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• The law of the iterated logarithm on arbitrary sequences for stationary Gaussian processes and Brownian motion
• Iterated logarithm laws with random subsequences
• Strassen's invariance principle for random subsequences
• An invariance principle for the law of the iterated logarithm

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