Convergence to infinite-dimensional compound Poisson distributions on convex polyhedra

Friedrich Götze; Andrei Yu. Zaitsev

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arXiv · 2109.11845

Convergence to infinite-dimensional compound Poisson distributions on convex polyhedra

Friedrich Götze·Andrei Yu. Zaitsev

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Abstract

The aim of the present work is to provide a supplement to the authors' paper (2018). It is shown that our results on the approximation of distributions of sums of independent summands by the accompanying compound Poisson laws and the estimates of the proximity of sequential convolutions of multidimensional distributions on convex polyhedra may be almost automatically transferred to the infinite-dimensional case.

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Friedrich Götze, Andrei Yu. Zaitsev. 2021-09-24. Convergence to infinite-dimensional compound Poisson distributions on convex polyhedra. https://arxiv.org/abs/2109.11845

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