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Superlarge deviation probabilities for sums of independent random variables with exponentially decreasing tails. II. (English. Russian original) Zbl 1314.60080

Theory Probab. Appl. 59, No. 1, 168-177 (2015); translation from Teor. Veroyatn. Primen. 59, No. 1, 187-196 (2014).
Summary: In the paper, we study large deviation probabilities of a sum of independent identically distributed random variables, whose distribution function has an exponentially decreasing tail at infinity.
Editor’s remark. It is not clear which paper is considered to be Part I. Apparently, the present paper continues both [Theory Probab. Appl. 52, No. 1, 167–171 (2008); translation from Teor. Veroyatn. Primen. 52, No. 1, 175–179 (2007; Zbl 1147.60309)] and [Stat. Probab. Lett. 82, No. 1, 72–76 (2012; Zbl 1230.60027)].

MSC:

60F10 Large deviations
60G50 Sums of independent random variables; random walks
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