English

A multidimensional stable limit theorem

Probability 2023-11-21 v3

Abstract

We establish multidimensional analogues of one-dimensional stable limit theorems due to H\"ausler and Luschgy (2015) for so called explosive processes. As special cases we present multidimensional stable limit theorems involving multidimensional normal-, Cauchy- and stable distributions as well.

Keywords

Cite

@article{arxiv.2012.04541,
  title  = {A multidimensional stable limit theorem},
  author = {Matyas Barczy and Gyula Pap},
  journal= {arXiv preprint arXiv:2012.04541},
  year   = {2023}
}

Comments

26 pages

R2 v1 2026-06-23T20:49:14.156Z