arXiv subjects

Nadia Morsli

Publications and source records attributed to Nadia Morsli.

2 recordsLinked to original sources

arXiv2015

Weak and Strong Consistency of non-parametric estimate of potential function for stationary and isotropic pairwise interaction point process

A method is proposed for estimating the potential function of a non-parametric estimator for stationary and isotropic pairwise interaction point process. The relation between a pair potential and the corresponding Papangelou conditional intensity is considered. Consistency and strong consistency of non-parametric estimate are proved in case of finite-range interaction potential.

math.PR↗

arXiv2013

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

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.

math.ST↗