Curves discrimination: a nonparametric functional approach

被引：201

作者：

Ferraty, F

Vieu, P

机构：

[1] Univ Toulouse 3, Lab Stat & Probab, UFR,MIG, UMR C5583, F-31062 Toulouse, France

[2] Univ Toulouse Le Mirail, Equipe GRIMM, F-31058 Toulouse, France

来源：

COMPUTATIONAL STATISTICS & DATA ANALYSIS | 2003年 / 44卷 / 1-2期

关键词：

curves discrimination; functional data analysis; Nonparametric estimate; phoneme data; spectrometric data; supervised classification;

D O I：

10.1016/S0167-9473(03)00032-X

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：161 / 173

页数：13