Nonparametric estimation of the intensity function of a spatial point process on a Riemannian manifold
研究了黎曼流形上点过程强度函数的非参数估计方法，给出了泊松过程下核估计量的一阶渐近分析，并通过实证检验了有限样本表现和带宽自适应曲率的改进效果。
Summary 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.