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, G., Rodriguez, D.
Formato: JOUR
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: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
Descripción
Sumario: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.

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