Kernel density estimation on Riemannian manifolds: Asymptotic results

The paper concerns the strong uniform consistency and the asymptotic distribution of the kernel density estimator of random objects on a Riemannian manifolds, proposed by Pelletier (Stat. Probab. Lett., 73(3):297-304, 2005). The estimator is illustrated via one example based on a real data. © 2009 S...

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Detalles Bibliográficos
Autores principales: Henry, Guillermo Sebastián, Rodríguez, Daniela Andrea
Publicado: 2009
Materias:
Geometry
Nonparametric estimation
Riemannian manifolds
Statistics
Asymptotic distributions
Example based
Kernel Density Estimation
Kernel density estimators
Riemannian manifold
Asymptotic analysis
Distribution functions
Statistical tests
Estimation
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09249907_v34_n3_p235_Henry
http://hdl.handle.net/20.500.12110/paper_09249907_v34_n3_p235_Henry
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_09249907_v34_n3_p235_Henry
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spelling paper:paper_09249907_v34_n3_p235_Henry2023-06-08T15:51:11Z Kernel density estimation on Riemannian manifolds: Asymptotic results Henry, Guillermo Sebastián Rodríguez, Daniela Andrea Geometry Nonparametric estimation Riemannian manifolds Statistics Asymptotic distributions Example based Kernel Density Estimation Kernel density estimators Nonparametric estimation Riemannian manifold Riemannian manifolds Asymptotic analysis Distribution functions Statistical tests Estimation The paper concerns the strong uniform consistency and the asymptotic distribution of the kernel density estimator of random objects on a Riemannian manifolds, proposed by Pelletier (Stat. Probab. Lett., 73(3):297-304, 2005). The estimator is illustrated via one example based on a real data. © 2009 Springer Science+Business Media, LLC. Fil:Henry, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Rodriguez, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09249907_v34_n3_p235_Henry http://hdl.handle.net/20.500.12110/paper_09249907_v34_n3_p235_Henry
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Geometry
Nonparametric estimation
Riemannian manifolds
Statistics
Asymptotic distributions
Example based
Kernel Density Estimation
Kernel density estimators
Nonparametric estimation
Riemannian manifold
Riemannian manifolds
Asymptotic analysis
Distribution functions
Statistical tests
Estimation
spellingShingle Geometry
Nonparametric estimation
Riemannian manifolds
Statistics
Asymptotic distributions
Example based
Kernel Density Estimation
Kernel density estimators
Nonparametric estimation
Riemannian manifold
Riemannian manifolds
Asymptotic analysis
Distribution functions
Statistical tests
Estimation
Henry, Guillermo Sebastián
Rodríguez, Daniela Andrea
Kernel density estimation on Riemannian manifolds: Asymptotic results
topic_facet Geometry
Nonparametric estimation
Riemannian manifolds
Statistics
Asymptotic distributions
Example based
Kernel Density Estimation
Kernel density estimators
Nonparametric estimation
Riemannian manifold
Riemannian manifolds
Asymptotic analysis
Distribution functions
Statistical tests
Estimation
description The paper concerns the strong uniform consistency and the asymptotic distribution of the kernel density estimator of random objects on a Riemannian manifolds, proposed by Pelletier (Stat. Probab. Lett., 73(3):297-304, 2005). The estimator is illustrated via one example based on a real data. © 2009 Springer Science+Business Media, LLC.
author Henry, Guillermo Sebastián
Rodríguez, Daniela Andrea
author_facet Henry, Guillermo Sebastián
Rodríguez, Daniela Andrea
author_sort Henry, Guillermo Sebastián
title Kernel density estimation on Riemannian manifolds: Asymptotic results
title_short Kernel density estimation on Riemannian manifolds: Asymptotic results
title_full Kernel density estimation on Riemannian manifolds: Asymptotic results
title_fullStr Kernel density estimation on Riemannian manifolds: Asymptotic results
title_full_unstemmed Kernel density estimation on Riemannian manifolds: Asymptotic results
title_sort kernel density estimation on riemannian manifolds: asymptotic results
publishDate 2009
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09249907_v34_n3_p235_Henry
http://hdl.handle.net/20.500.12110/paper_09249907_v34_n3_p235_Henry
work_keys_str_mv AT henryguillermosebastian kerneldensityestimationonriemannianmanifoldsasymptoticresults
AT rodriguezdanielaandrea kerneldensityestimationonriemannianmanifoldsasymptoticresults
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