Journal of Theoretical Probability

, Volume 13, Issue 1, pp 135–139 | Cite as

On Kolmogorov SLLN Under Rearrangements for “Orthogonal” Random Variables in a B-Space

  • Sergei Chobanyan
  • V. Mandrekar


It is well-known that the Kolmogorov SLLN (non-i.i.d. case) fails for pair-wise independent random variables. However, as shown in the paper it can be saved even for orthogonal random variables if one allows permutations. We prove it in the setup of Banach space valued random variables.

SLLN orthogonal random variables permutation Kolmogorov condition 


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Copyright information

© Plenum Publishing Corporation 2000

Authors and Affiliations

  • Sergei Chobanyan
  • V. Mandrekar

There are no affiliations available

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