Work

Multidimensional compound Poisson approximations for symmetric distributions

Year: 2026

Type: preprint

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. Bergström -type asymptotic expansion is constructed. The accuracy of approximation is estimated in the total variation metric and, in many cases, is of the order $O(n^{-1})$.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2601.16554

Authors: Čekanavičius, Vydas, Jokubauskienė, Simona

Institutions: Vilnius University, Vytautas Magnus University

Topic: Probability and Statistical Research

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7125686338

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