Mod-ϕ Convergence, II: Estimates on the Speed of Convergence
Mod-ϕ Convergence, II: Estimates on the Speed of Convergence
In this paper, we give estimates for the speed of convergence towards a limiting stable law in the recently introduced setting of mod-ϕ convergence. Namely, we define a notion of zone of control, closely related to mod-ϕ convergence, and we prove estimates of Berry–Esseen type under this hypothesis. Applications include: