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On a problem of Csörgö and Révész

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Publication:1825511
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DOI10.1214/AOP/1176991428zbMath0684.60020OpenAlexW1995465073MaRDI QIDQ1825511

Qui-Man Shao

Publication date: 1989

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176991428


zbMATH Keywords

invariance principleincrements of partial sumsStrong approximations


Mathematics Subject Classification ID

Strong limit theorems (60F15) Functional limit theorems; invariance principles (60F17)


Related Items (7)

A self-normalized Erdős-Rényi type strong law of large numbers ⋮ On one-sided strong laws for large increments of sums ⋮ Strassen-type law of the iterated logarithm for self-normalized increments of sums ⋮ Rate of strong Gaussian approximation for sums of i.i.d. multidimensional random vectors ⋮ Converses to the Csörgő-Révész laws ⋮ An almost sure limit theorem for moving averages of random variables between the strong law of large numbers and the Erdös-Rényi law ⋮ The accuracy of strong Gaussian approximation for sums of independent random vectors







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