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Abstract: This paper is devoted to the estimation of a vector $\bm {\theta}$parametrizing an energy function of a Gibbs point process, via the maximumpseudolikelihood method. Strong consistency and asymptotic normality results ofthis estimator depending on a single realization are presented. In theframework of exponential family models, sufficient conditions are expressed interms of the local energy function and are verified on a wide variety ofexamples.



Autor: Jean-Michel Billiot, Jean-François Coeurjolly, Rémy Drouilhet

Fuente: https://arxiv.org/







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