Strong laws for sequences in the vicinity of the LIL

DOI10.1016/J.SPL.2016.10.027zbMath1356.60050OpenAlexW2548204617MaRDI QIDQ504457

Allan Gut, Ulrich Stadtmüller

Publication date: 16 January 2017

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

Full work available at URL: https://doi.org/10.1016/j.spl.2016.10.027

zbMATH Keywords

strong law of large numbersBorel-Cantelli lemmaexponential boundslaw of iterated logarithm

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

Related Items (2)

Almost sure limit behaviour of Cesàro sums with small order ⋮ COMPLETE CONVERGENCE FOR ARRAYS AND THE LAW OF THE SINGLE LOGARITHM

Cites Work

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• The LIL when X is in the domain of attraction of a Gaussian law
• The weak law of large numbers for arrays
• Complete convergence for arrays
• Almost sure limit behaviour of Cesàro sums with small order
• Some results on two-sided LIL behavior
• Some Theorems on the Strong Law of Large Numbers and Law of the Iterated Logarithm
• A converse to the law of the iterated logarithm
• Probability: A Graduate Course

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