Analyse de la redondance robuste
Revue de Statistique Appliquée, Volume 53 (2005) no. 2, p. 43-65
@article{RSA_2005__53_2_43_0,
     author = {Lazraq, Aziz and Cl\'eroux, Robert},
     title = {Analyse de la redondance robuste},
     journal = {Revue de Statistique Appliqu\'ee},
     publisher = {Soci\'et\'e fran\c caise de statistique},
     volume = {53},
     number = {2},
     year = {2005},
     pages = {43-65},
     language = {fr},
     url = {http://www.numdam.org/item/RSA_2005__53_2_43_0}
}
Lazraq, Aziz; Cléroux, Robert. Analyse de la redondance robuste. Revue de Statistique Appliquée, Volume 53 (2005) no. 2, pp. 43-65. http://www.numdam.org/item/RSA_2005__53_2_43_0/

Bry X. ( 1996), Analyse factorielles multiples, Paris, France, Economica.

Cramer E.M. and Nicewander W.A. ( 1979), Some Symetric, Invariant Measures of Multivariate Association, Psychometrika, 44, 43-54. | MR 529390 | Zbl 0419.62048

Croux C. et Dehon C. ( 2002), Analyse canonique basée sur des estimateurs robustes de la matrice de covariance, Rev. Statistique Appliquée, L(2), 5-26. | Numdam

Croux C. and Haesbroeck G. ( 2000), Principal Component Analysis Based on Robust Estimators of the Covariance or Correlation Matrix : Influence Functions and Efficiencies, Biometrika, 87,3, 603-618. | MR 1789812 | Zbl 0956.62047

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

Dehon C., Fitzmoser P. and Croux C. ( 2000), Robust Methods for Canonical Correlation Analysis, in Data Analysis, Classification and Related Methods, Correlation Analysis, in Data Analysis, Classification and Related Methods, Eds. H.A.L. Kiers, J.P. Rosson, P.J.E. Groenen and M. Schader, Springer, Berlin, pp. 321-326. | MR 1848204 | Zbl 1026.62060

Gleason T.C. ( 1976), On Redundancy in Canonical Correlation, Psychological Bulletin, 83, 1004-1006.

Hampel F.R. ( 1974), The Influence Curve and its Role in Robust Estimation, J. American Statistical Association, 69, 383-393. | MR 362657 | Zbl 0305.62031

Lazraq A. et Cléroux R. ( 1988), Étude comparative de différentes mesures de liaison entre deux vecteurs aléatoires, Statistique et Analyse des données, 13, 39-58. | Numdam | MR 984843

Lazraq A. et Cléroux R. ( 2002A), Testing the Significance of the Successive Components in Redundancy Analysis, Psychometrika, 67, 411-419. | MR 1961326

Lazraq A. et Cléroux R. ( 2002B), Inférence robuste sur un indice de redondance, Rev. Statistique Appliquée, L(4), 39-54. | Numdam

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

Mardia K.V., Kent J.T. and Bibby J.M. ( 1979), Multivariate Analysis, London, U.K., Academic Press. | MR 560319 | Zbl 0432.62029

Rao C.R. ( 1964), The Use and Interpretation of Principal Component Analysis in Applied Research, Sankhya, 26, 329-358. | MR 184375 | Zbl 0137.37207

Rao C.R. ( 1973), Linear Statistical Inference and its Applications, 2nd ed., New York, John Wiley and sons. | MR 346957 | Zbl 0256.62002

Rousseeuw P.J ( 1985), Multivariate Estimation with High Breakdown Point. Mathematical Statistics and Applications, vol. B., pp. 283-297, Dordrecht, The Netherland, W. Grossman, G. Pflug, I. Vincze and W. Wertz, eds. | MR 851060 | Zbl 0609.62054

SPLUS6 User's Guide ( 2000), MathSoft Inc., Seattle.

Steward D. and Love W. ( 1968), A General Canonical Corelation Index, Psychological Bulletin, 70, 160-163.

Van Den Wollenberg A.L. ( 1977), Redundancy Analysis, an Alternative for Canonical Correlation Analysis, Psychometrika, 42, 207-219. | Zbl 0354.92050