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

arXiv: https://arxiv.org/abs/2210.11902 · HTML: https://mlsanity.com/paper/2210.11902/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 21 Oct 2022.

## Built on by (most cited first, 1 of 1)

- [A Data-Driven Interpolation Method on Smooth Manifolds via Diffusion Processes and Voronoi Tessellations](https://mlsanity.com/paper/2509.03758/) (2025)

## Abstract (arXiv)

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 theGroningen gas field.