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MR2749362 60F10 (60G50)
Rozovskiĭ, L. V. On small deviations of sums of weighted positive random variables. (Russian) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 384 (2010), Veroyatnost′ i Statistika. 16, 212--224, 313; translation in J. Math. Sci. (N.Y.) 176 (2011), no. 2, 224–231
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