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

Abstract

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

References in corpus (7)

• Basic Properties of Strong Mixing Conditions. A Survey and Some Open Questions
• Determinantal point process models and statistical inference : Extended version
• Quantifying repulsiveness of determinantal point processes
• Determinantal Probability: Basic Properties and Conjectures
• Variational approach for spatial point process intensity estimation
• Bernstein type inequality for a class of dependent random matrices
• Asymptotic goodness-of-fit tests for the Palm mark distribution of stationary point processes with correlated marks