URV's Author/s: Rodríguez, Daniela Muñoz, Andrés Henry, Guillermo

Keywords: asymptotic results, density estimation, nonparametric, Riemannian manifolds

Abstract: In this paper, we consider kernel type estimator with variable bandwidth 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 considered to evaluate the performance of the proposal. Finally, to illustrate the potential applications of the proposed estimator, we analyse two real examples where two different manifolds are considered.

Journal publication year: 2013

Publication Type: info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article