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@article{ZNSL_2004_320_a11,
author = {L. V. Rozovskii},
title = {On small deviation probabilities of positive random variables},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {150--159},
year = {2004},
volume = {320},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_320_a11/}
}
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/
[1] N. C. Jain, W. E. Pruitt, “Lower tail probability estimates for subordinators and nondecreasing random walks”, Ann. Probab., 15:1 (1987), 76–101 | DOI | MR
[2] M. A. Lifshits, “On the lower tail probabilities of some random series”, Ann. Probab., 25 (1997), 424–442 | DOI | MR | Zbl
[3] G. N. Sytaya, “Ob asimptoticheskom predstavlenii gaussovoi mery v gilbertovom prostranstve”, Teoriya stokhasticheskikh protsessov, 2 (1974), 94–104
[4] I. A. Ibragimov, “O veroyatnostyakh popadaniya gaussova vektora so znacheniyami v gilbertovom prostranstve v sferu malogo radiusa”, Zap. nauchn. semin. LOMI, 85, 1979, 75–93 | MR | Zbl
[5] V. M. Zolotarev, “Asymptotic behavior of the Gaussian measure in $l_2$”, Journal of Soviet Mathematics, 24 (1986), 2330–2334 | DOI
[6] W. V. Li, “On the lower tail of Gaussian measures”, Probability in Banach spaces, 8 (1992), 106–117 | MR
[7] W. V. Li, W. Linde, “Small ball problems for non–centered Gaussian measures”, Probability and Mathematical Statistics, 14 (1993), 231–251 | MR | Zbl
[8] J. Kuelbs, W. V. Li, W. Linde, “The Gaussian measures of shifted balls”, Probab. Theory Related Fields, 98 (1994), 143–162 | DOI | MR | Zbl
[9] A. Dembo, E. Mayer-Wolf, O. Zeituni, “Exact behavior of Gaussian seminorms”, Probab. Statist. Letters, 23 (1995), 275–280 | DOI | MR | Zbl
[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