Geodesic
On probabilities of moderate deviations
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 3, Tome 260 (1999), pp. 214-217 
V. V. Petrov. On probabilities of moderate deviations. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 3, Tome 260 (1999), pp. 214-217. http://geodesic.mathdoc.fr/item/ZNSL_1999_260_a13/
@article{ZNSL_1999_260_a13,
     author = {V. V. Petrov},
     title = {On probabilities of moderate deviations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {214--217},
     year = {1999},
     volume = {260},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_260_a13/}
}
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This paper examines the asymptotic behavior of distributions of sums of independent random variables in zones of moderate deviations. Sufficient conditions are given for normal convergence in these zones.