Nonparametric estimation of the intensity function of a spatial point process on a Riemannian manifold
成果类型：
Article
署名作者：
Ward, S.; Battey, H. S.; Cohen, E. A. K.
署名单位：
Imperial College London
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
DOI：
10.1093/biomet/asad012
发表日期：
2023
关键词：
摘要：
This paper is concerned with nonparametric estimation of the intensity function of a point process on a Riemannian manifold. It provides a first-order asymptotic analysis of the proposed kernel estimator for Poisson processes, supplemented by empirical work to probe the behaviour in finite samples and under other generative regimes. The investigation highlights the scope for finite-sample improvements by allowing the bandwidth to adapt to local curvature.