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MR1453328 (99e:60073) 60F05 (28D05 68Q30 94A15)
Vʹyugin, V. V. Effective convergence in probability, and an ergodic theorem for individual random sequences. (Russian) Teor. Veroyatnost. i Primenen. 42 (1997), no. 1, 35--50; translation in Theory Probab. Appl. 42 (1997), no. 1, 39–50 (1998)
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