2008 | OriginalPaper | Chapter
Supervised Classification for Functional Data: A Theoretical Remark and Some Numerical Comparisons
Authors : Amparo Baíllo, Antonio Cuevas
Published in: Functional and Operatorial Statistics
Publisher: Physica-Verlag HD
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The nearest neighbors (
k
-NN) method is a simple, easy to motivate procedure for supervised classification with functional data. We first consider a recent result by Cerou and Guyader (2006) which provides a sufi- cient condition to ensure the consistency of the
k
-NN method. We give some concrete examples in which such condition is fulfilled. Secondly, we show the results of a comparative study, performed via simulations and some real-data examples, involving the
k
-NN procedure (as a “benchmark choice”) together with other some recently proposed methods for functional classification.