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

M. N. M. Lieshout ()
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M. N. M. Lieshout: CWI

Annals of the Institute of Statistical Mathematics, 2024, vol. 76, issue 2, No 6, 313-331

Abstract: 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.

Keywords: Adaptive kernel estimation; Bandwidth selection; Campbell–Mecke formula; Intensity function; Poisson leave-one-out cross-validation log likelihood; Point process (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10463-023-00890-6

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