Kernel density estimation on Riemannian manifolds: Asymptotic results

Abstract

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. © 2009 Springer Science+Business Media, LLC.