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A method is proposed for estimating the potential function of anon-parametric estimator for stationary and isotropic pairwise interactionpoint process. The relation between a pair potential and the correspondingPapangelou conditional intensity is considered. Consistency and strongconsistency of non-parametric estimate are proved in case of finite-rangeinteraction potential.

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