Locally adaptative density estimation on Riemannian manifolds

Henry, Guillermo Sebastian; Muñoz, Andres Leandro; Rodriguez, Daniela Andrea

Artículos de revistas

Fecha

2013-07

Registro en:

Henry, Guillermo Sebastian; Muñoz, Andres Leandro; Rodriguez, Daniela Andrea; Locally adaptative density estimation on Riemannian manifolds; Institut d'Estadística de Catalunya; Statistics and Operations Research Transactions; 37; 2; 7-2013; 111-130

1696-2281

http://hdl.handle.net/11336/2831

2013-8830

http://repositorioslatinoamericanos.uchile.cl/handle/2250/1899306

Autor

Henry, Guillermo Sebastian

Muñoz, Andres Leandro

Rodriguez, Daniela Andrea

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

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 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.

Materias

Asymtotic results

Density estimation

Riemannian manifolds

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