On alternative approximating distributions in the multivariate version of Kolmogorov's second uniform limit theorem

Friedrich Götze; Andrei Yu. Zaitsev

doi:10.4213/tvp5416; 10.1137/s0040585x97t99071x

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arXiv · 2006.01942

On alternative approximating distributions in the multivariate version of Kolmogorov's second uniform limit theorem

Friedrich Götze·Andrei Yu. Zaitsev

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Abstract

The aim of the present work is to show that recent results of the authors on the approximation of distributions of sums of independent summands by the infinitely divisible laws on convex polyhedra can be shown via an alternative class of approximating infinitely divisible distributions. We will also generalize the results to the infinite-dimensional case.

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Friedrich Götze, Andrei Yu. Zaitsev. 2020-06-02. On alternative approximating distributions in the multivariate version of Kolmogorov's second uniform limit theorem. https://doi.org/10.4213/tvp5416; 10.1137/s0040585x97t99071x

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