Almost sure limit behaviour of Cesàro sums with small order

DOI10.1007/S10474-016-0685-ZzbMath1399.60042OpenAlexW2562861102MaRDI QIDQ1701429

Peng Zhang

Publication date: 22 February 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-016-0685-z

zbMATH Keywords

strong lawlaw of the iterated logarithmexponential boundCesàro summation

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Cesàro, Euler, Nörlund and Hausdorff methods (40G05)

Related Items (3)

COMPLETE CONVERGENCE FOR ARRAYS AND THE LAW OF THE SINGLE LOGARITHM ⋮ Strong law of large numbers for adapted sequences and application to multivalued supermartingale ⋮ Strong laws for sequences in the vicinity of the LIL

Cites Work

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• Variants on the Law of the Iterated Logarithm
• On the strong law of large numbers for normed weighted sums of I.I.D. random variables
• A converse to the law of the iterated logarithm
• On the Law of the Iterated Logarithm
• Probability: A Graduate Course

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