Kernel Density Estimation on Riemannian Manifolds: Asymptotic Results
The paper concerns the strong uniform consistency and the asymptotic distribution of the kernel density estimator of random objects on a Riemannian manifolds, proposed by Pelletier (Stat. Probab. Lett., 73(3): 297-304, 2005). The estimator is illustrated via one example based on a real data.
riemannian manifolds geometry nonparametric estimation statistics