Standard and robust intensity parameter estimation for stationary determinantal point processes

2016/03/24 by Jean‐François Coeurjolly, Coeurjolly, Jean-François, Christophe A. N. Biscio +1
Environmental Science · Mathematics · #FOS: Mathematics #Point processes and geometric inequalities #Random Matrices and Applications #Soil Geostatistics and Mapping #Statistics Theory (math.ST)

paper · pdf · doi:10.48550/arxiv.1603.07460

openalex publication_date 2016/03/24 · openalex created_date 2022/09/26 · openalex updated_date 2026/07/28

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.

Citations

• Brillinger mixing of determinantal point processes and statistical\n applications

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