Estimation spatio-temporelle d'un modèle de système de particules

Let X be a discrete time contact process (CP) on Z2 as defined by Durrett and Levin (1994). We study the estimation of the model based on space-time evolution of X, that is, T+1 successive observations of X on a finite subset S of sites. We consider the maximum marginal pseudo-likelihood (MPL) estimator and show that, when T→∞, this estimator is consistent and asymptotically normal for a non vanishing supercritical CP. To cite this article: X. Guyon, B. Pumo, C. R. Acad. Sci. Paris, Ser. I 340 (2005).