4.2 Article

Uniform consistency of kNN regressors for functional variables

Journal

STATISTICS & PROBABILITY LETTERS
Volume 83, Issue 8, Pages 1863-1870

Publisher

ELSEVIER
DOI: 10.1016/j.spl.2013.04.017

Keywords

Functional data analysis; kNN regression; Nonparametric statistics; Uniform consistency

Funding

  1. CONICET [PIP 216]
  2. ANPCyT [PICT 00899]

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This paper is devoted to nonparametric analysis of functional data. We give asymptotic results for a kNN generalized regression estimator when the observed variables take values in any abstract space. The main novelty is our uniform consistency result (with rates). (C) 2013 Elsevier B.V. All rights reserved.

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