-Nearest Neighbour method in functional nonparametric regression

Florent Burba, Frédéric Ferraty and Philippe Vieu

Journal of Nonparametric Statistics, 2009, vol. 21, issue 4, 453-469

Abstract: The aim of this article is to study the k-nearest neighbour (kNN) method in nonparametric functional regression. We present asymptotic properties of the kNN kernel estimator: the almost-complete convergence and its rate. Then, we illustrate the effectiveness of this method by comparing it with the traditional kernel approach first on simulated datasets and then on a real chemometrical example. We also present in this article an important technical tool which could be useful in many other situations than ours.

Date: 2009
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Citations: View citations in EconPapers (8)

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DOI: 10.1080/10485250802668909

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