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Pré-Publication, Document De Travail Année : 2006

A new Poisson-type deviation inequality for the empirical distribution of ergodic birth-death processes

Aldéric Joulin

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 $\N$.
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hal-00106269 , version 1 (13-10-2006)

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  • HAL Id : hal-00106269 , version 1

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Aldéric Joulin. A new Poisson-type deviation inequality for the empirical distribution of ergodic birth-death processes. 2006. ⟨hal-00106269⟩
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