Abstract
We introduce 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 other adaptive and global bandwidth selectors, investigate the influence of the pilot estimator and apply the technique to two data sets: A pattern of trees and an earthquake catalogue.
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Many thanks are due to the anonymous referees for thoughtful suggestions that helped to improve the manuscript.
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This research was supported by The Netherlands Organisation for Scientific Research NWO (project DEEP.NL.2018.033).
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van Lieshout, M.N.M. Non-parametric adaptive bandwidth selection for kernel estimators of spatial intensity functions. Ann Inst Stat Math 76, 313–331 (2024). https://doi.org/10.1007/s10463-023-00890-6
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DOI: https://doi.org/10.1007/s10463-023-00890-6