English

The strong mixing and the selfdecomposability properties

Probability 2022-08-02 v1

Abstract

It is proved that infinitesimal triangular arrays obtained from normalized partial sums of strongly mixing (but not necessarily stationary) random sequences, can produce as lilmits only selfdecomposable distributions.

Keywords

Cite

@article{arxiv.1307.5676,
  title  = {The strong mixing and the selfdecomposability properties},
  author = {Richard C. Bradley and Zbigniew J. Jurek},
  journal= {arXiv preprint arXiv:1307.5676},
  year   = {2022}
}
R2 v1 2026-06-22T00:55:21.502Z