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arXiv · 1506.01892

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

Nadia Morsli
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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.

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Nadia Morsli. 2015-06-05. Weak and Strong Consistency of non-parametric estimate of potential function for stationary and isotropic pairwise interaction point process. https://arxiv.org/abs/1506.01892

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