On almost sure convergence of subsequences in the central limit theorem

DOI10.1080/02331888908802213zbMath0697.60029OpenAlexW1974651377MaRDI QIDQ3473885

Peter Schatte

Publication date: 1989

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888908802213

zbMATH Keywords

central limit theoremalmost sure convergencelaw of iterated logarithmBernstein's inequality

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

Related Items (1)

On strong versions of the central limit theorem.

Cites Work

• On a law of the iterated logarithm for sums mod 1 with application to Benford's law
• Convex-invariant means and a pathwise central limit theorem
• A functional law of the iterated logarithm for empirical distribution functions of weakly dependent random variables
• On Strong Versions of the Central Limit Theorem
• An almost everywhere central limit theorem
• A method for the derivation of limit theorems for sums of m-dependent random variables
• An approximation of partial sums of independent RV'-s, and the sample DF. I
• On the uniform distribution of sequences of random variables

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