The aim of the present work is to show that previously obtained results on approximation of the distributions of sums of independent summands by the accompanying compound Poisson laws and the estimates of closeness of the sequential convolutions of multidimensional distributions are transferred to the estimates for closeness of the convolutions of probability distributions on convex polyhedra.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 474, 2018, pp. 108–117.
Translated by A. Yu. Zaitsev.
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Götze, F., Zaitsev, A.Y. Estimates for Closeness of Convolutions of Probability Distributions on Convex Polyhedra. J Math Sci 251, 67–73 (2020). https://doi.org/10.1007/s10958-020-05065-9
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DOI: https://doi.org/10.1007/s10958-020-05065-9