Curves discrimination: a nonparametric functional approach. (English) Zbl 1429.62241
Summary: A new nonparametric tool for studying the relationship between a curve, considered as a functional predictor, and a categorical response is proposed. This is typically a problem of discrimination, also known as supervised classification, but applied to a sample of curves. Starting from a food industry context and a speech recognition problem, we nonparametrically estimate the posterior probability that an incoming curve is of a given class. A consistent kernel estimator is introduced and its practical performance is pointed out by means of a simulation study. Finally, this method is applied to the above-mentioned data sets.
MSC:
| 62H30 | Classification and discrimination; cluster analysis (statistical aspects) |
| 62G07 | Density estimation |
| 62R10 | Functional data analysis |
Keywords:
curves discrimination; functional data analysis; nonparametric estimate; phoneme data; spectrometric data; supervised classificationSoftware:
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