Resumen de Locally adaptive density estimation on Riemannian manifolds

Guillermo Henry, Andrés Muñoz, Daniela Rodriguez

• 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.