Analyse canonique basée sur des estimateurs robustes de la matrice de covariance
Croux, Christophe ; Dehon, Catherine
Revue de Statistique Appliquée, Tome 50 (2002), p. 5-26 / Harvested from Numdam
Publié le : 2002-01-01
@article{RSA_2002__50_2_5_0,
     author = {Croux, Christophe and Dehon, Catherine},
     title = {Analyse canonique bas\'ee sur des estimateurs robustes de la matrice de covariance},
     journal = {Revue de Statistique Appliqu\'ee},
     volume = {50},
     year = {2002},
     pages = {5-26},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/RSA_2002__50_2_5_0}
}
Croux, Christophe; Dehon, Catherine. Analyse canonique basée sur des estimateurs robustes de la matrice de covariance. Revue de Statistique Appliquée, Tome 50 (2002) pp. 5-26. http://gdmltest.u-ga.fr/item/RSA_2002__50_2_5_0/

T.W. Anderson (1999), Asymptotic Theory for Canonical Correlation Analysis. Journal of Multivariate Analysis, 70, 1-29. | MR 1701396 | Zbl 0943.62056

R.W. Butler, P.L. Davies & M. Jhun (1993), Asymptotics for the Minimum Covariance Determinant Estimator. The Annals of Statistics, 21, 1385-1400. | MR 1241271 | Zbl 0797.62044

N.A. Campbell (1982), Robust Procedures in Multivariate Analysis : Robust Canonical Variate Analysis. Applied Statistics, 31, 1- 8. | Zbl 0497.62035

C. Croux & G. Haesbroeck (1999), Influence Function and Efficiency of the Minimum Covariance Determinant Scatter Matrix Estimator. Journal of Multivariate Analysis, 71,161-190 | MR 1735108 | Zbl 0946.62055

C. Croux & G. Haesbroeck (2000), Principal Component Analysis based on Robust Estimators of the Covariance or Correlation Matrix : Influence Functions and Efficiencies. Biometrika, 87, 603- 618. | MR 1789812 | Zbl 0956.62047

M.L. Eaton & D. Tyler (1994), The asymptotic Distribution of Singular values with Applications to Canonical Correlations and Correspondance Analysis. Journal of Multivariate Analysis, 50, 238-264. | MR 1293045 | Zbl 0805.62020

F.R. Hampel, E.M. Ronchetti, P.J. Rousseeuw & W.A. Stahel (1986), Robust Statistics : The Approach Based in Influence Functions. New York: John Wiley and Sons. | MR 829458 | Zbl 0593.62027

H. Hotelling (1936), Relations between two sets of variates. Biometrika, 28, 321-377. | JFM 62.0618.04 | Zbl 0015.40705

P.L. Hsu (1941), On the Limiting Distribution of the Canonical Correlations. Biometrika, 32, 38-45. | JFM 67.0488.03 | MR 3539 | Zbl 0063.02909

R.A. Johnson & D.W. Wichern (1992) Applied Multivariate Statistical Analysis. Prentice Hall International Editions. | MR 1168210 | Zbl 0745.62050

G. Karnel (1991), Robust Canonical Correlation and Correspondance Analysis. The Frontiers of Statistical Scientific and Industrial Applications, (Volume II of the proceedings of ICOSCO-I, The First International Conference on Statistical Computing, 335-354).

H.P. Lopuhaä (2000) Asymptotics of Reweighted Estimators of Multivariate Location and Scatter. The Annals of Statistics, 27, 1638-1665. | MR 1742503 | Zbl 0957.62017

H.P. Lopuhaä & P.J. Rousseeuw (1991), Breakdown Points of Affine Equivariant Estimators of Multivariate Location and Covariance Matrices. The Annals of Statistics, 19, 229-248. | MR 1091847 | Zbl 0733.62058

R.A. Maronna (1976), Robust M-estimators of Multivariate Location and Scatter. The Annals of Statistics, 4, 51-67. | MR 388656 | Zbl 0322.62054

N.J. Pullman (1976) Matrix theory and its applications : selected topics. Marcel Dekker, New York. | MR 429941 | Zbl 0339.15001

A.C. Rencher (1998) Multivariate Statistical Inference and Applications, New York: Wiley. | Zbl 0932.62065

M. Romanazzi (1992) Influence in Canonical Correlation Analysis. Psychometrika, 57, 237-259. | MR 1173591 | Zbl 0760.62056

P.J. Rousseeuw (1985), Multivariate Estimation with Hight Breakdown Point. Mathematical Statistics and Applications, Vol. B, pp. 283-297, Dordrecht, the Netherlands : W. Grossmann, G. Pflug, I. Vincze, and W. Wertz. | MR 851060 | Zbl 0609.62054

P.J. Rousseeuw & K. Van DRIESSEN (1999), A fast algorithm for the minimum covariance determinant estimator. Technometrics, 41, 212-23.

P.J. Rousseeuw & B.C. Van ZOMEREN (1990), Unmasking multivariate outliers and leverage points. Journal of the American Statistical Association, 85, 663-639.

R. Sibson (1979), Studies in the Robustness of Multidimensional Scaling : Perturbational Analysis of Classical Scaling. Journal of the Royal Statistical Society B, 41, 217- 229. | MR 547248 | Zbl 0413.62046

M. Tenenhaus (1998), La Régression PLS. Théorie et Pratique, Paris: Technip. | MR 1645125 | Zbl 0923.62058