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13.240 Articles in journals published by the UPC
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Locally adaptive density estimation on Riemannian manifolds

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Henry, Guillermo
Muñoz, Andrés
Rodríguez, Daniela
Document typeArticle
Defense date2014-01
PublisherInstitut d'Estadística de Catalunya
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
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.
CitationHenry, Guillermo; Muñoz, Andrés; Rodríguez, Daniela. Locally adaptive density estimation on Riemannian manifolds. "SORT", Gener 2014, vol. 37, núm. 2, p. 111-130. 
URIhttp://hdl.handle.net/2117/88528
ISSN1696-2281
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