Geodesic
On asymptotic expansions of the distribution function of the sum of independent lattice random variables
Teoriâ veroâtnostej i ee primeneniâ, Tome 14 (1969) no. 3, pp. 468-475

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This paper considers the problem of remainder estimation in asymptotic expansions of the distribution function $F_n(x)$ of the normalized sum of independent lattice random variables. The results obtained is a generalization of a theorem due to Esseen [1], p. 61. 
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     author = {L. V. Osipov},
     title = {On asymptotic expansions of the distribution function of the sum of independent lattice random variables},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {468--475},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1969_14_3_a5/}
}
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L. V. Osipov. On asymptotic expansions of the distribution function of the sum of independent lattice random variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 14 (1969) no. 3, pp. 468-475. http://geodesic.mathdoc.fr/item/TVP_1969_14_3_a5/