Convergence to infinite-dimensional compound Poisson distributions on convex polyhedra
Probability
2022-08-04 v2
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.
Keywords
Cite
@article{arxiv.2109.11845,
title = {Convergence to infinite-dimensional compound Poisson distributions on convex polyhedra},
author = {Friedrich Götze and Andrei Yu. Zaitsev},
journal= {arXiv preprint arXiv:2109.11845},
year = {2022}
}
Comments
7 pages.Zapiski Nauchnykh Seminarov POMI, 2021, v.501, 118-125 (in Russian) arXiv admin note: substantial text overlap with arXiv:1812.07473