Geodesic
On small deviation probabilities of positive random variables
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 8, Tome 320 (2004), pp. 150-159 
L. V. Rozovskii. On small deviation probabilities of positive random variables. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 8, Tome 320 (2004), pp. 150-159. http://geodesic.mathdoc.fr/item/ZNSL_2004_320_a11/
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     author = {L. V. Rozovskii},
     title = {On small deviation probabilities of positive random variables},
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     year = {2004},
     volume = {320},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_320_a11/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In the note two lemmas are deduced, which seem to be useful while studing the small deviation probabilities of positive random variables. As the example so called small balls problem is examined.

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[10] L. V. Rozovskii, “O nizhnei granitse veroyatnostei bolshikh uklonenii dlya vyborochnogo srednego pri vypolnenii usloviya Kramera”, Zap. nauchn. semin. POMI, 278, 2001, 208–224 | Zbl

[11] L. V. Rozovskii, “Veroyatnosti bolshikh uklonenii dlya nekotorykh klassov raspredelenii, udovletvoryayuschikh usloviyu Kramera”, Zap. nauchn. semin. POMI, 298, 2003, 161–185 | Zbl