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An almost sure limit theorem for moving averages of random variables between the strong law of large numbers and the Erdös-Rényi law
Hartmut Lanzinger
ESAIM: Probability and Statistics 2 163 (1998)
DOI: 10.1051/ps:1998106
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• A law of the single logarithm for moving averages of random variables under exponential moment conditions
  H. Lanzinger
  Studia Scientiarum Mathematicarum Hungarica 36 (1) 65 (2000)
  DOI: 10.1556/SScMath.36.2000.1-2.8
  See this article