# Maximum pseudolikelihood estimator for exponential family models of marked Gibbs point processes - Mathematics > Statistics Theory

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.

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

Source: https://arxiv.org/