Locally adaptive density estimation on Riemannian manifolds

Revistes Publicacions URV: SORT - Statistics and Operations Research Transactions> 2013

Locally adaptive density estimation on Riemannian manifolds

Identification data

Identifier: RP:2397

Handle: https://hdl.handle.net/20.500.11797/RP2397

Authors:
Rodríguez, DanielaMuñoz, AndrésHenry, Guillermo

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.
Others:

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

Keywords:

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

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