Geodesic
On the probabilities of large deviations for sums of independent random variables
Teoriâ veroâtnostej i ee primeneniâ, Tome 10 (1965) no. 2, pp. 310-322

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Some limit theorems on the large deviations of a sum of independent random variables are proved. It is supposed that the moment generating function of each summand is finite in some non-degenerate interval $(0,B)$. 
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     author = {V. V. Petrov},
     title = {On the probabilities of large deviations for sums of independent random variables},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {310--322},
     publisher = {mathdoc},
     volume = {10},
     number = {2},
     year = {1965},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1965_10_2_a7/}
}
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V. V. Petrov. On the probabilities of large deviations for sums of independent random variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 10 (1965) no. 2, pp. 310-322. http://geodesic.mathdoc.fr/item/TVP_1965_10_2_a7/