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arXiv · 1210.4402

Poisson intensity parameter estimation for stationary Gibbs point processes of finite interaction range

Nadia Morsli·Jean-François Coeurjolly
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Abstract

We introduce a semi-parametric estimator of the Poisson intensity parameter of a spatial stationary Gibbs point process. Under very mild assumptions satisfied by a large class of Gibbs models, we establish its strong consistency and asymptotic normality. We also consider its finite-sample properties in a simulation study.

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Nadia Morsli, Jean-François Coeurjolly. 2013-02-23. Poisson intensity parameter estimation for stationary Gibbs point processes of finite interaction range. https://arxiv.org/abs/1210.4402

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