Poisson intensity parameter estimation for stationary Gibbs point processes of finite interaction range
Statistics Theory
2013-08-14 v2 Statistics Theory
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.
Keywords
Cite
@article{arxiv.1210.4402,
title = {Poisson intensity parameter estimation for stationary Gibbs point processes of finite interaction range},
author = {Nadia Morsli and Jean-François Coeurjolly},
journal= {arXiv preprint arXiv:1210.4402},
year = {2013}
}