English

A bound of the $\beta$-mixing coefficient for point processes in terms of their intensity functions

Statistics Theory 2020-09-01 v2 Statistics Theory

Abstract

We prove a general inequality on β\beta-mixing coefficients of point processes depending uniquely on their nn-th order intensity functions. We apply this inequality in the case of determinantal point processes and show that the rate of decay of the β\beta-mixing coefficients of a wide class of DPPs is optimal.

Keywords

Cite

@article{arxiv.1806.05910,
  title  = {A bound of the $\beta$-mixing coefficient for point processes in terms of their intensity functions},
  author = {Arnaud Poinas},
  journal= {arXiv preprint arXiv:1806.05910},
  year   = {2020}
}