Supervised Classification for a Family of Gaussian Functional Models

Supervised Classification for a Family of Gaussian Functional Models

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Article ID: iaor201112570
Volume: 38
Issue: 3
Start Page Number: 480
End Page Number: 498
Publication Date: Sep 2011
Journal: Scandinavian Journal of Statistics
Authors: , ,
Keywords: statistics: inference, statistics: empirical, datamining, simulation: applications
Abstract:

In the framework of supervised classification (discrimination) for functional data, it is shown that the optimal classification rule can be explicitly obtained for a class of Gaussian processes with ‘triangular’ covariance functions. This explicit knowledge has two practical consequences. First, the consistency of the well-known nearest neighbours classifier (which is not guaranteed in the problems with functional data) is established for the indicated class of processes. Second, and more important, parametric and non-parametric plug-in classifiers can be obtained by estimating the unknown elements in the optimal rule. The performance of these new plug-in classifiers is checked, with positive results, through a simulation study and a real data example.

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