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

Author

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  • M. N. M. Lieshout

    (CWI
    University of Twente)

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.

Suggested Citation

  • M. N. M. Lieshout, 2024. "Non-parametric adaptive bandwidth selection for kernel estimators of spatial intensity functions," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 76(2), pages 313-331, April.
    • Handle: RePEc:spr:aistmt:v:76:y:2024:i:2:d:10.1007_s10463-023-00890-6
    DOI: 10.1007/s10463-023-00890-6
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