Standard and robust intensity parameter estimation for stationary determinantal point processes

Christophe A N Biscio, Jean François Coeurjolly*

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

3 Citations (Scopus)

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 languageEnglish
JournalSpatial Statistics
Volume18
Issue numberPart A
Pages (from-to)24-39
Number of pages16
ISSN2211-6753
DOIs
Publication statusPublished - 2016

Keywords

  • Brillinger mixing
  • Repulsive point processes
  • Robust statistics
  • Sample quantiles
  • Statistical inference

Fingerprint

Dive into the research topics of 'Standard and robust intensity parameter estimation for stationary determinantal point processes'. Together they form a unique fingerprint.

Cite this