Probabilistic inequalities for~sums of~independent random variables in~terms of~truncated pseudomoments
Teoriâ veroâtnostej i ee primeneniâ, Tome 42 (1997) no. 3, pp. 615-623

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An estimate is obtained for the probability of large deviations of the sum of independent random variables which uses the closeness of the distributions of summands to the Gaussian distribution.
Keywords: large deviations, truncated pseudomoments, standard normal law.
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     author = {S. V. Nagaev},
     title = {Probabilistic inequalities for~sums of~independent random variables in~terms of~truncated pseudomoments},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {615--623},
     publisher = {mathdoc},
     volume = {42},
     number = {3},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1997_42_3_a12/}
}
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S. V. Nagaev. Probabilistic inequalities for~sums of~independent random variables in~terms of~truncated pseudomoments. Teoriâ veroâtnostej i ee primeneniâ, Tome 42 (1997) no. 3, pp. 615-623. http://geodesic.mathdoc.fr/item/TVP_1997_42_3_a12/