k-Nearest neighbor density estimation on Riemannian Manifolds
Statistics Theory
2011-06-24 v1 Statistics Theory
Abstract
In this paper, we consider a k-nearest neighbor kernel type estimator when the random variables belong in a Riemannian manifolds. We study asymptotic properties such as the consistency and the asymptotic distribution. A simulation study is also consider to evaluate the performance of the proposal. Finally, to illustrate the potential applications of the proposed estimator, we analyzed two real example where two different manifolds are considered.
Keywords
Cite
@article{arxiv.1106.4763,
title = {k-Nearest neighbor density estimation on Riemannian Manifolds},
author = {Guillermo Henry and Andrés Muñoz and Daniela Rodriguez},
journal= {arXiv preprint arXiv:1106.4763},
year = {2011}
}
Comments
17 pages, 5 figures