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.
| Original language | English |
|---|---|
| Pages (from-to) | 313–331 |
| Number of pages | 19 |
| Journal | Annals of the Institute of Statistical Mathematics |
| Volume | 76 |
| Early online date | 22 Dec 2023 |
| DOIs | |
| Publication status | Published - Apr 2024 |
Keywords
- 2024 OA procedure
- Bandwidth selection
- Campbell–Mecke formula
- Intensity function
- Poisson leave-one-out cross-validation log likelihood
- Point process
- Adaptive kernel estimation
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Dive into the research topics of 'Non‑parametric adaptive bandwidth selection for kernel estimators of spatial intensity functions'. Together they form a unique fingerprint.Research output
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Non-parametric adaptive bandwidth selection for kernel estimators of spatial intensity functions
van Lieshout, M.-C., 21 Oct 2022, ArXiv.org, p. 1-11, 11 p.Research output: Working paper › Preprint › Academic
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