Central Limit Theorem for a conditionally centred functional of a Markov random field
Résumé
We prove a CLT for empirical sums of a conditionally centred functional of a MRF on a non necessarly regular set of site. Since positive definiteness of the variance of the sums is crucial, we introduce the notion of conditionally separating partition and we give tools to verify such a positive definiteness. Exemples of Ising and gaussian MRF are studied.
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