Geodesic
On alternative approximating distributions in the multivariate version of Kolmogorov's second uniform limit theorem
Teoriâ veroâtnostej i ee primeneniâ, Tome 67 (2022) no. 1, pp. 3-22

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The aim of the present work is to show that our recent results on the approximation of distributions of sums of independent summands by the infinitely divisible laws on convex polyhedra can be obtained via an alternative class of approximating infinitely divisible distributions. We will also generalize the results to the infinite-dimensional case.
Keywords: Kolmogorov's uniform limit theorem, multidimensional distribution, infinitely divisible approximation, convex polyhedra. 
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     title = {On alternative approximating distributions in the multivariate version of {Kolmogorov's} second uniform limit theorem},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2022_67_1_a0/}
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F. Götze; A. Yu. Zaitsev. On alternative approximating distributions in the multivariate version of Kolmogorov's second uniform limit theorem. Teoriâ veroâtnostej i ee primeneniâ, Tome 67 (2022) no. 1, pp. 3-22. http://geodesic.mathdoc.fr/item/TVP_2022_67_1_a0/