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[B{\l}aszczyszyn, Yogeshwaran and Yukich (2019)] established central limittheorems for geometric statistics of point processes having fast decaydependence. As limit theorems are of limited use unless we understand theirerrors involved in the approximation, in this paper, we consider the rates of anormal approximation in terms of the Wasserstein distance for statistics ofpoint processes on $\mathbb{R}^d$ satisfying fast decay dependence. Wedemonstrate the use of the theorems for statistics arising from two families ofpoint processes: the rarified Gibbs point processes and the determinantal pointprocesses with fast decay kernels.

Convergence rate for geometric statistics of point processes with fast decay dependence