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On the probabilities of large deviations for sums of independent random variables

V. V. Petrov

Leningrad

Abstract: Some limit theorems on the large deviations of a sum of independent random variables are proved. It is supposed that the moment generating function of each summand is finite in some non-degenerate interval $(0,B)$.

 English version: Theory of Probability and its Applications, 1965, 10:2, 287–298

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