Mathematics – Statistics Theory
Scientific paper
2006-01-04
Mathematics
Statistics Theory
29 pages - 2 figures
Scientific paper
This paper is devoted to the estimation of a vector parametrizing an energy function associated to some "Nearest-Neighbours" Gibbs point process, via the pseudo-likelihood method. We present some convergence results concerning this estimator, that is strong consistency and asymptotic normality, when only a single realization is observed. Sufficient conditions are expressed in terms of the local energy function and are verified on some examples.
Billiot Jean-Michel
Coeurjolly Jean-François
Drouilhet Rémy
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