Geodesic
An estimate for distributions of sums of independent random variables
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 4, Tome 278 (2001), pp. 5-14

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Some necessary and sufficient conditions are investigated for one estimate of the exponentially type for large deviations probabilities of sums of i.i.d. random variables. 
@article{ZNSL_2001_278_a0,
     author = {N. N. Amosova},
     title = {An estimate for distributions of sums of independent random variables},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {5--14},
     publisher = {mathdoc},
     volume = {278},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_278_a0/}
}
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N. N. Amosova. An estimate for distributions of sums of independent random variables. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 4, Tome 278 (2001), pp. 5-14. http://geodesic.mathdoc.fr/item/ZNSL_2001_278_a0/