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A remark on the strong law of large numbers for sums of pairwise independent random variables

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Publication:1207913
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DOI10.1007/BF02365087zbMath0830.60019MaRDI QIDQ1207913

Alexander I. Martikainen

Publication date: 16 May 1993

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)


zbMATH Keywords

pairwise independent random variables


Mathematics Subject Classification ID

Strong limit theorems (60F15)


Related Items (3)

On the Baum-Katz theorem for sequences of pairwise independent random variables with regularly varying normalizing constants ⋮ The Marcinkiewicz-Zygmund-type strong law of large numbers with general normalizing sequences ⋮ On the limiting behavior of randomly weighted partial sums



Cites Work

  • A stationary pairwise independent absolutely regular sequence for which the central limit theorem fails
  • An elementary proof of the strong law of large numbers
  • A Limit Theoerm for Random Variables with Infinite Moments
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