Large deviations of sums of independent random variables

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On large deviations of sums of independent random variables

Extensions of some limit theorems are proved for tail probabilities of sums of independent identically distributed random variables satisfying the one-sided or two-sided Cramér’s condition. The large deviation x-region under consideration is broader than in the classical Cramér’s theorem, and the estimate of the remainder is uniform with respect to x. The corresponding asymptotic expansion with...

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ژورنال

عنوان ژورنال: Acta Arithmetica

سال: 1988

ISSN: 0065-1036,1730-6264

DOI: 10.4064/aa-49-4-427-434