Nonparametric estimation of the intensity function of a spatial point process on a Riemannian manifold

S Ward, H S Battey and E A K Cohen

Biometrika, 2023, vol. 110, issue 4, 1009-1021

Abstract: SummaryThis 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.

Keywords: Boundary-free manifold; Edge and shape correction; Kernel estimation; Point event (search for similar items in EconPapers)
Date: 2023
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