@article{RSA_2005__53_1_39_0,
author = {Ferr\'e, Louis and Villa, Nathalie},
title = {Discrimination de courbes par r\'egression inverse fonctionnelle},
journal = {Revue de Statistique Appliqu\'ee},
pages = {39--57},
year = {2005},
publisher = {Soci\'et\'e fran\c{c}aise de statistique},
volume = {53},
number = {1},
language = {fr},
url = {https://www.numdam.org/item/RSA_2005__53_1_39_0/}
}
TY - JOUR AU - Ferré, Louis AU - Villa, Nathalie TI - Discrimination de courbes par régression inverse fonctionnelle JO - Revue de Statistique Appliquée PY - 2005 SP - 39 EP - 57 VL - 53 IS - 1 PB - Société française de statistique UR - https://www.numdam.org/item/RSA_2005__53_1_39_0/ LA - fr ID - RSA_2005__53_1_39_0 ER -
Ferré, Louis; Villa, Nathalie. Discrimination de courbes par régression inverse fonctionnelle. Revue de Statistique Appliquée, Tome 53 (2005) no. 1, pp. 39-57. https://www.numdam.org/item/RSA_2005__53_1_39_0/
[1] ( 1991), Modelization, non-parametric estimation and prediction for continuous time processes. In : Roussas, G. (Ed. ), Nonparametric Functional estimation and related Topics, NATO, ASI Series, pp. 509-529. | Zbl | MR
[2] ( 1991), Discussion of Li (1991) J. Am. Statis. Ass., 86, 328-332.
[3] et ( 2001), Dimension reduction and visualization in discriminant analysis, Australian & New-Zealand Journal of Statistics, 43, 147-199. | Zbl | MR
[4] , and ( 2001), Un modèle semi-paramétrique pour variable aléatoire Hilbertienne. C.R. Acad. Sci. Paris, t.327, série I, 947-952. | Zbl | MR
[5] and ( 1976), Les analyses factorielles en calcul des probabilités et en statistique : essai d'étude synthétique. Thèse Toulouse III.
[6] , and ( 1996), A probabilistic theory for pattern recognition, New-York : Springer-Verlag. | MR
[7] ( 1979), Biased discriminant analysis : evaluation of the optimum probability of classification, Comm. Statist. Theory Methods, 8, 1447-1458. | Zbl | MR
[8] and ( 2003), Curves Discrimination : a Non Parametric Approach. Computational and Statistical Data Analysis, 44, 161-173. | MR
[9] and ( 2005), Multi-layer Neural Network with Functional Inputs, soumis à publication.
[10] and ( 2003), Functional Sliced Inverse Regression analysis. Statistics, 37, 475-488. | Zbl | MR
[11] et ( 2005), Smoothed Functional Inverse Regression. À paraître dans Statistica Sinica. | Zbl | MR
[12] ( 1989), Regularized discriminant analysis, J. Amer. Statist. Assoc., 84, 165-175. | MR
[13] ( 1982), Kernel discriminant analysis, Research Studies Press/Wiley. | Zbl | MR
[14] , and ( 1994), Flexible Discriminant Analysis by optimal scoring, J. Amer. Statist. Ass., 89, 1255-1270. | Zbl | MR
[15] , and ( 1995), Penalized Discriminant Analysis, Ann. Statist., 23, p 73-102. | Zbl | MR
[16] et ( 2001), Dimension reduction in nonparametric discriminant analysis, Technical report.
[ 17] and ( 1970a), Ridge regression :biased estimation for non orthogonal problems, Technometrics, 12-1, 55-67. | Zbl | MR
[18] and ( 1970b), Ridge regression : Application to non orthogonal problems, Technometrics, 12-2, 69-82. | Zbl
[19] ( 1999), Nearest Neighbor Inverse Regression, Ann. Statist., 697-731. | Zbl | MR
[20] and ( 2001), Functional linear discriminant analysis for irregularly sampled curves, J.R. Statis. Soc., B, 64, 533-550. | Zbl | MR
[21] , and ( 1993), Canonical Correlation Analysis when the data are curves, J.R. Statis. Soc., B, 55,725-740. | Zbl | MR
[22] ( 1991), Sliced Inverse Regression for dimension reduction, J. Amer. Statist. Ass., 86, 316-342. | Zbl | MR
[23] ( 1992), On principal Hessian directions for data visualisation and dimension reduction : another application of Stein's lemma, Ann. Statist., 87, 1025-1039. | Zbl | MR
[24] , , et ( 2003), Dimension reduction for multivariate data, J. Amer. Statist. Ass., 98, 99-109. | Zbl | MR
[25] and ( 1997), Functional Data Analysis, New-York : Springer Verlag. | Zbl | MR






