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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.

preprint2015arXivOpen access
Nadia Morsli
math.PRmath.STStatistics Theory
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Open access1 author3 topics
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