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Biometrika 1987 74(4):763-770; doi:10.1093/biomet/74.4.763
© 1987 by Biometrika Trust
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A nonparametric estimator for pairwise-interaction point processes

PETER J. DIGGLE, DAVID J. GATES and ALYSON STIBBARD

CSIRO Division of Mathematics & Statistics Canberra, ACT 2601, Australia

The paper develops a nonparametric estimator for the class of pairwise-interaction point processes. The estimator is based on an approximation in statistical physics due to Percus and Yevick, which relates the interaction function of a pairwise-interaction point process to its second-order statistics via an integral equation. The results of a simulation study are presented.

Key Words: Fourier method • Pairwise-interaction point process • Smoothing • Spatial point pattern


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