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MR2363592 60F10 (60G50)
Rozovskiĭ, L. V. On small deviation probabilities for sums of independent positive random variables. (Russian) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 341 (2007), Veroyatn. i Stat. 11, 151--167, 232; translation in J. Math. Sci. (N. Y.) 147 (2007), no. 4, 6935–6945
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