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Translated from Matematicheskie Zametki, Vol. 24, No. 1, pp. 123–132, July, 1978.
The author thanks V. V. Petrov for discussing the results obtained in this note.
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Amosova, N.N. Probabilities of one-sided deviations of sums of independent random variables. Mathematical Notes of the Academy of Sciences of the USSR 24, 570–575 (1978). https://doi.org/10.1007/BF01812988
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DOI: https://doi.org/10.1007/BF01812988