Mathematics – Statistics Theory
Scientific paper
2008-04-23
Electronic Journal of Statistics 2008, Vol. 2, 234-264
Mathematics
Statistics Theory
Published in at http://dx.doi.org/10.1214/07-EJS160 the Electronic Journal of Statistics (http://www.i-journals.org/ejs/) by t
Scientific paper
10.1214/07-EJS160
This paper is devoted to the estimation of a vector $\bm {\theta}$ parametrizing an energy function of a Gibbs point process, via the maximum pseudolikelihood method. Strong consistency and asymptotic normality results of this estimator depending on a single realization are presented. In the framework of exponential family models, sufficient conditions are expressed in terms of the local energy function and are verified on a wide variety of examples.
Billiot Jean-Michel
Coeurjolly Jean-François
Drouilhet Rémy
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