Geodesic
A~nonuniform estimate of the speed of convergence in the multidimensional central limit theorem
Teoriâ veroâtnostej i ee primeneniâ, Tome 15 (1970) no. 4, pp. 647-665

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In the paper, by the method of characteristic functions, an estimate of the convergence rate in the multi-dimensional central limit theorem is obtained. The estimate is non-uniform; it depends on the location with respect to the origin of the set the measures of which are compaired. 
@article{TVP_1970_15_4_a4,
     author = {V. I. Rotar'},
     title = {A~nonuniform estimate of the speed of convergence in the multidimensional central limit theorem},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {647--665},
     publisher = {mathdoc},
     volume = {15},
     number = {4},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1970_15_4_a4/}
}
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V. I. Rotar'. A~nonuniform estimate of the speed of convergence in the multidimensional central limit theorem. Teoriâ veroâtnostej i ee primeneniâ, Tome 15 (1970) no. 4, pp. 647-665. http://geodesic.mathdoc.fr/item/TVP_1970_15_4_a4/