Kernel Density Estimation on Riemannian Manifolds: Asymptotic Results

  • Authors:

  • Guillermo Henry;Daniela Rodriguez

  • Affiliations:

  • Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina C1428EHA;Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina C1428EHA

  • Venue:
  • Journal of Mathematical Imaging and Vision
  • Year:
  • 2009

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Abstract

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.