Non-parametric adaptive bandwidth selection for kernel estimators of spatial intensity functions

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Abstract

We propose a new fully non-parametric two-step adaptive bandwidth selection method for kernel estimators of spatial point process intensity functions based on the Campbell–Mecke formula and Abramson’s square root law. We present a simulation study to assess its performance relative to the Cronie–Van Lieshout global bandwidth selector and apply the technique to data on induced earthquakes in the Groningen gas field.
Original languageEnglish
PublisherArXiv.org
Pages1-11
Number of pages11
DOIs
Publication statusPublished - 21 Oct 2022

Keywords

  • Adaptive kernel estimation
  • Bandwidth selection
  • Campbell–Mecke formula
  • Induced earthquakes
  • Intensity function
  • Point process

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