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MR1299963 (96e:60046) 60F10 (60F15)
Klesov, O. I. Convergence of series of large-deviation probabilities of sums of independent identically distributed random variables. (Russian) Ukraïn. Mat. Zh. 45 (1993), no. 6, 770--784; translation in Ukrainian Math. J. 45 (1993), no. 6, 845--862 (1994)
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