This article is cited in 6 papers

The asymptotic behavior of large deviation probabilities

V. V. Petrov

A. A. Zhdanov Leningrad State University

Abstract: Some limit theorems are obtained for probabilities of large deviations of sums of independent random variables with unequal distributions. The main result (Theorem 1) is a generalization of the theorems due to Cramer [1] and the author [5].

Received: 24.11.1966

 English version: Theory of Probability and its Applications, 1968, 13:3, 408–420

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