A new Poisson-type deviation inequality for the empirical distribution of ergodic birth-death processes
Résumé
In this paper, we present a new Poisson-type deviation inequality from equilibrium of the empirical distribution of an ergodic birth-death process, which generalizes the results of Lezaud [9,10]. Our approach relies on the notion recently developed in [7] of Wasserstein curvatures of the process with respect to a suitable distance on $\N$.
Loading...