标题： 凸多面体上的无限维复合泊松分布的收敛性 显示英文标题

标题： Convergence to infinite-dimensional compound Poisson distributions on convex polyhedra

摘要： 本工作的目的是对作者的论文（2018年）进行补充。 结果显示，我们关于用伴随复合泊松定律近似独立项和的分布的结果，以及在凸多面体上对多维分布的序列卷积的接近度估计，几乎可以自动转移到无限维情况。 显示英文摘要

摘要： 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.