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MR2036274 (2005j:60053) 60F10 (60F05 60G50) Ng, Kai W.; Tang, Qihe; Yan, Jia-An; Yang, Hailiang Precise large deviations for sums of random variables with consistently varying tails. J. Appl. Probab. 41 (2004), no. 1, 93--107.

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