Convergence to Infinite-Dimensional Compound Poisson Distributions on Convex Polyhedra

The present work is aimed at supplementing the authors’ paper (2018). 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 are shown to be applicable almost automatically to the infinite-dimensional case. © 2023, Springer Nature Switzerland AG.