@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}, publisher = {Soci\'et\'e fran\c{c}aise de statistique}, volume = {53}, number = {1}, year = {2005}, language = {fr}, url = {http://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 - http://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. http://www.numdam.org/item/RSA_2005__53_1_39_0/
[1] 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. | MR | Zbl
( 1991),[2] Discussion of Li (1991) J. Am. Statis. Ass., 86, 328-332.
( 1991),[3] Dimension reduction and visualization in discriminant analysis, Australian & New-Zealand Journal of Statistics, 43, 147-199. | MR | Zbl
et ( 2001),[4] Un modèle semi-paramétrique pour variable aléatoire Hilbertienne. C.R. Acad. Sci. Paris, t.327, série I, 947-952. | MR | Zbl
, and ( 2001),[5] Les analyses factorielles en calcul des probabilités et en statistique : essai d'étude synthétique. Thèse Toulouse III.
and ( 1976),[6] A probabilistic theory for pattern recognition, New-York : Springer-Verlag. | MR
, and ( 1996),[7] Biased discriminant analysis : evaluation of the optimum probability of classification, Comm. Statist. Theory Methods, 8, 1447-1458. | MR | Zbl
( 1979),[8] Curves Discrimination : a Non Parametric Approach. Computational and Statistical Data Analysis, 44, 161-173. | MR
and ( 2003),[9] Multi-layer Neural Network with Functional Inputs, soumis à publication.
and ( 2005),[10] Functional Sliced Inverse Regression analysis. Statistics, 37, 475-488. | MR | Zbl
and ( 2003),[11] Smoothed Functional Inverse Regression. À paraître dans Statistica Sinica. | MR | Zbl
et ( 2005),[12] Regularized discriminant analysis, J. Amer. Statist. Assoc., 84, 165-175. | MR
( 1989),[13] Kernel discriminant analysis, Research Studies Press/Wiley. | MR | Zbl
( 1982),[14] Flexible Discriminant Analysis by optimal scoring, J. Amer. Statist. Ass., 89, 1255-1270. | MR | Zbl
, and ( 1994),[15] Penalized Discriminant Analysis, Ann. Statist., 23, p 73-102. | MR | Zbl
, and ( 1995),[16] Dimension reduction in nonparametric discriminant analysis, Technical report.
et ( 2001),[ 17] Ridge regression :biased estimation for non orthogonal problems, Technometrics, 12-1, 55-67. | MR | Zbl
and ( 1970a),[18] Ridge regression : Application to non orthogonal problems, Technometrics, 12-2, 69-82. | Zbl
and ( 1970b),[19] Nearest Neighbor Inverse Regression, Ann. Statist., 697-731. | MR | Zbl
( 1999),[20] Functional linear discriminant analysis for irregularly sampled curves, J.R. Statis. Soc., B, 64, 533-550. | MR | Zbl
and ( 2001),[21] Canonical Correlation Analysis when the data are curves, J.R. Statis. Soc., B, 55,725-740. | MR | Zbl
, and ( 1993),[22] Sliced Inverse Regression for dimension reduction, J. Amer. Statist. Ass., 86, 316-342. | MR | Zbl
( 1991),[23] On principal Hessian directions for data visualisation and dimension reduction : another application of Stein's lemma, Ann. Statist., 87, 1025-1039. | MR | Zbl
( 1992),[24] Dimension reduction for multivariate data, J. Amer. Statist. Ass., 98, 99-109. | MR | Zbl
, , et ( 2003),[25] Functional Data Analysis, New-York : Springer Verlag. | MR | Zbl
and ( 1997),