Geodesic
A~non-uniform estimate of the speed of convergence in the central limit theorem in $R$
Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 2, pp. 280-292

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Using the composition method, a new uniform estimate and a non-uniform estimate are obtained for the rate of convergence in the central limit theorem in terms of absolute difference moments. The uniform estimate is an improvement and a generalization of Zolotarev's estimate [4] to the case of weakened conditions on moments. 
@article{TVP_1976_21_2_a4,
     author = {V. V. Ul'yanov},
     title = {A~non-uniform estimate of the speed of convergence in the central limit theorem in $R$},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {280--292},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1976_21_2_a4/}
}
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V. V. Ul'yanov. A~non-uniform estimate of the speed of convergence in the central limit theorem in $R$. Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 2, pp. 280-292. http://geodesic.mathdoc.fr/item/TVP_1976_21_2_a4/