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Locally adaptive density estimation on Riemannian manifolds
dc.contributor.author | Henry, Guillermo |
dc.contributor.author | Muñoz, Andrés |
dc.contributor.author | Rodríguez, Daniela |
dc.date.accessioned | 2016-07-05T15:25:01Z |
dc.date.available | 2016-07-05T15:25:01Z |
dc.date.issued | 2014-01 |
dc.identifier.citation | Henry, Guillermo; Muñoz, Andrés; Rodríguez, Daniela. Locally adaptive density estimation on Riemannian manifolds. "SORT", Gener 2014, vol. 37, núm. 2, p. 111-130. |
dc.identifier.issn | 1696-2281 |
dc.identifier.uri | http://hdl.handle.net/2117/88528 |
dc.description.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. |
dc.format.extent | 20 p. |
dc.language.iso | eng |
dc.publisher | Institut d'Estadística de Catalunya |
dc.relation.ispartof | SORT. 2013, Vol. 37, Núm. 2 |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica |
dc.subject.other | asymptotic results |
dc.subject.other | density estimation |
dc.subject.other | nonparametric |
dc.subject.other | Riemannian manifolds |
dc.title | Locally adaptive density estimation on Riemannian manifolds |
dc.type | Article |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::62 Statistics::62G Nonparametric inference |
dc.rights.access | Open Access |
local.citation.publicationName | SORT |
local.citation.volume | 37 |
local.citation.number | 2 |
local.citation.startingPage | 111 |
local.citation.endingPage | 130 |