Abstract
This work is concerned with the estimation of the intensity parameter of a stationary determinantal point process. We consider the standard estimator, corresponding to the number of observed points per unit volume and a recently introduced median-based estimator more robust to outliers. The consistency and asymptotic normality of estimators are obtained under mild assumptions on the determinantal point process. We illustrate the efficiency of the procedures in a simulation study.
Original language | English |
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Journal | Spatial Statistics |
Volume | 18 |
Issue number | Part A |
Pages (from-to) | 24-39 |
Number of pages | 16 |
ISSN | 2211-6753 |
DOIs | |
Publication status | Published - 2016 |
Keywords
- Brillinger mixing
- Repulsive point processes
- Robust statistics
- Sample quantiles
- Statistical inference