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

被引：0
作者：
M. N. M. van Lieshout
机构：
[1] CWI,Department of Applied Mathematics
[2] University of Twente,undefined
来源：
Annals of the Institute of Statistical Mathematics | 2024年 / 76卷
关键词：
Adaptive kernel estimation; Bandwidth selection; Campbell–Mecke formula; Intensity function; Poisson leave-one-out cross-validation log likelihood; Point process;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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页码：313 / 331
页数：18
相关论文
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