Abstract
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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 763-770 |
| Number of pages | 8 |
| Journal | Biometrika |
| Volume | 74 |
| Issue number | 4 |
| DOIs | |
| State | Published - Dec 1987 |
| Externally published | Yes |
Keywords
- Fourier method
- Pairwise-interaction point process
- Smoothing
- Spatial point pattern
ASJC Scopus subject areas
- Statistics, Probability and Uncertainty
- Applied Mathematics
- General Mathematics
- Statistics and Probability
- Agricultural and Biological Sciences (miscellaneous)
- General Agricultural and Biological Sciences