On the random functional central limit theorems with almost sure convergence for subsequences

DOI10.1515/dema-2013-0383zbMath1260.60039OpenAlexW957025256MaRDI QIDQ4898880

Konrad S. Szuster, Zdzisław Rychlik

Publication date: 3 January 2013

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2013-0383

zbMATH Keywords

Wiener measureCesàro averagessummation methodslogarithmic averagesalmost sure central limit theorem for subsequencesfunctional random-sum central limit theorem

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Cites Work

• A note on the almost sure central limit theorem
• An almost sure central limit theorem for independent random variables
• On strong versions of the central limit theorem.
• Almost sure limit theorems for the St. Petersburg game
• A universal result in almost sure central limit theory.
• On Strong Versions of the Central Limit Theorem
• Two Remarks on the Almost Sure Central Limit Theorem
• Invariance principles for logarithmic averages
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