English

Mixing properties of nonstationary multivariate count processes

Statistics Theory 2024-08-29 v2 Statistics Theory

Abstract

We prove absolute regularity (β\beta-mixing) for nonstationary and multivariate versions of two popular classes of integer-valued processes. We show how this result can be used to prove asymptotic normality of a least squares estimator of an involved model parameter.

Keywords

Cite

@article{arxiv.2311.10692,
  title  = {Mixing properties of nonstationary multivariate count processes},
  author = {Zinsou Max Debaly and Michael H. Neumann and Lionel Truquet},
  journal= {arXiv preprint arXiv:2311.10692},
  year   = {2024}
}