4.5 Article

Kernel Density Estimation on Riemannian Manifolds: Asymptotic Results

Journal

JOURNAL OF MATHEMATICAL IMAGING AND VISION
Volume 34, Issue 3, Pages 235-239

Publisher

SPRINGER
DOI: 10.1007/s10851-009-0145-2

Keywords

Geometry; Nonparametric estimation; Riemannian manifolds; Statistics

Funding

  1. Universidad de Buenos Aires [X-094]
  2. CONICET [PID 5505]
  3. ANPCYT, Argentina [PAV 120, PICT 21407]

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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.

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