A non-model-based approach to bandwidth selection for kernel estimators of spatial intensity functions

O. Cronie (Corresponding Author), Maria Nicolette Margaretha van Lieshout (Corresponding Author)

Research output: Contribution to journalArticleAcademicpeer-review

12 Citations (Scopus)
23 Downloads (Pure)

Abstract

We propose a new bandwidth selection method for kernel estimators of spatial point process intensity functions. The method is based on an optimality criterion motivated by the Campbell formula applied to the reciprocal intensity function. The new method is fully nonparametric, does not require knowledge of higher-order moments, and is not restricted to a specific class of point process. Our approach is computationally straightforward and does not require numerical approximation of integrals.
Original languageEnglish
Pages (from-to)455-462
Number of pages8
JournalBiometrika
Volume105
Issue number2
DOIs
Publication statusPublished - 16 Feb 2018

Keywords

  • UT-Hybrid-D
  • Campbell formula
  • Intensity function
  • Kernel estimation
  • Point process
  • Bandwidth selection

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