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

Sergei Chobanyan and V. Mandrekar ()

Journal of Theoretical Probability, 2000, vol. 13, issue 1, 135-139

Abstract: Abstract 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.

Keywords: SLLN; orthogonal random variables; permutation; Kolmogorov condition (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1023/A:1007734910044

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