Weak and Strong Consistency of non-parametric estimate of potential function for stationary and isotropic pairwise interaction point process
Probability
2015-06-08 v1 Statistics Theory
Statistics Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1506.01892,
title = {Weak and Strong Consistency of non-parametric estimate of potential function for stationary and isotropic pairwise interaction point process},
author = {Nadia Morsli},
journal= {arXiv preprint arXiv:1506.01892},
year = {2015}
}