The aim of the present work is to show that the results obtained earlier on approximation of distributions of sums of independent summands by infinitely divisible laws may be transferred to estimation of the closeness of distributions on convex polyhedra.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 486, 2019, pp. 71–85.
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Götze, F., Zaitsev, A.Y. & Zaporozhets, D. An Improved Multivariate Version of Kolmogorov’s Second Uniform Limit Theorem. J Math Sci 258, 782–792 (2021). https://doi.org/10.1007/s10958-021-05594-x
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DOI: https://doi.org/10.1007/s10958-021-05594-x