Multidimensional compound Poisson approximations for symmetric distributions
Probability
2026-05-22 v2
Abstract
Distribution of the sum of independent identically distributed symmetric lattice vectors is approximated by the accompanying compound Poisson law and the second-order Hipp-type signed compound Poisson measure. Bergstr\"om -type asymptotic expansion is constructed. The accuracy of approximation is estimated in the total variation metric and, in many cases, is of the order .
Cite
@article{arxiv.2601.16554,
title = {Multidimensional compound Poisson approximations for symmetric distributions},
author = {Vydas Čekanavičius and Simona Jokubauskienė},
journal= {arXiv preprint arXiv:2601.16554},
year = {2026}
}