Inférence robuste sur un indice de redondance
Revue de Statistique Appliquée, Tome 50 (2002) no. 4, pp. 39-54.
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     title = {Inf\'erence robuste sur un indice de redondance},
     journal = {Revue de Statistique Appliqu\'ee},
     pages = {39--54},
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     volume = {50},
     number = {4},
     year = {2002},
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     url = {http://www.numdam.org/item/RSA_2002__50_4_39_0/}
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Lazraq, Aziz; Cléroux, Robert. Inférence robuste sur un indice de redondance. Revue de Statistique Appliquée, Tome 50 (2002) no. 4, pp. 39-54. http://www.numdam.org/item/RSA_2002__50_4_39_0/

Bilodeau M. and Brenner D. (1999), Theory of Multivariate Statistics, Springer, New York. | MR | Zbl

BMDP Statistical Software (1981), W.J. Dixon, chief Editor, University of California Press, Berkeley. | Zbl

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

Davies P.L. (1987), Asymptotic Behavior of S-Estimates of Multivariate Location Parameters and Dispersion Matrices, Annals of Statistics, 15, 1269 -1292. | MR | Zbl

Dehon C., Fitzmoser P. and Croux C. (2000), Robust Methods for Canonical 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 | Zbl

Giri N.C. (1993), Introduction to Probability and Statistics, Marcel Dekker Inc., New York. | MR | Zbl

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

Golub G.H. and Van Loan C.F. (1989), Matrix Computations, 2nd ed., The Johns Hopkins University Press. | MR | Zbl

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

Imhof P. (1961), Computing the Distribution of Quadratic Forms in Normal Variables, Biometrika, 48, 419-426. | MR | Zbl

Koerts J. and Abrahamse A.P.J. (1969), On the Theory and Applicaiton of the General Linear Model, Rotterdam University Press, Rotterdam. | MR | Zbl

Lazraq A. et Cléroux R. (1988), Un algorithme pas à pas de sélection de variables en régression linéaire multivariée, Statistique et Analyse des Données, 13, 39-58. | Numdam | MR

Lazraq A. and Cléroux R. (1989), On the Detection of Multivariate Data Outliers and Regression Outliers, in Data Analysis, Learning Symbolic and Numeric Knowledge, Ed. E. Diday, Nova Science Publishers, New York, pp. 133-140.

Lazraq A. et Cléroux R. (1992), Tests d'homogénéité entre indices de redondance pour des lois elliptiques, Revue de Statistique Appliquée, XXXX, No. 3, 19-33. | Numdam | MR | Zbl

Lazraq A. and Cléroux R. (2001), The PLS Multivariate Regression Model : Testing the Significance of Successive PLS Components, Journal of Chemometries, 15, 523-536.

Lazraq A., Cléroux R. et Kiers H.A.L. (1992), Mesures de liaison vectorielle et généralisation de l'analyse canonique, Revue de Statistique Appliquée, XXXX, No. 1, 23-35. | Numdam | MR | Zbl

Lopuhaä H.P. (1989), On the Relation Between S-Estimators and M-estimators of Multivariate Location and Covariance, Annals of Statistics, 17, 1662-1683. | MR | Zbl

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

Mccabe G.P. (1984), Principal Variables, Technometrics, 26, 137-144. | MR | Zbl

Muirhead R.J. (1982), Aspects of Multivariate Statistical Theory, John Wiley and Sons, New York. | MR | Zbl

Okamoto M. (1969), Optimality of Principal Components, in Multivariate Analysis II, Ed. P.R. Krishnaiah et al., Academic Press, New York, pp. 673-685. | MR

Rousseeuw P.J. (1985), Multivariate Estimation with High Breakdown Point, in Mathematical Statistics and Applications, Eds. W. Grossmann, G. Pflug, I. Veneze and W. Wertz, vol. 8, Reidel, Dordrecht, pp. 283- 297. | MR | Zbl

Rousseeuw P.J., Van Aelst S. and Driessen K.V. (2000), Robust Multivariate Regression, Technical Report, Dept. of Mathematics and Computer Science, University of Antwerp.

Rousseeuw P.J. and Van Driessen K. (1999), A Fast Algorithm for the Minimum Covariance Determinant Estimator, Technometrics, 41, 212-223.

Rousseeuw P.J. and Yohai V.J. (1984), Robust Regression by Means of S-Estimator. Robust and Nonlinear Time Series Analysis, Lecture Notes in Statistics, Vol. 26, Springer, New York, pp. 256-272. | MR | Zbl

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

Tyler D.E. (1983), Robustness and Efficiency Properties of Scatter Matrices, Biometrika, 70, 411-420. | MR | Zbl

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

Wold H. (1982), Soft Modeling : the Basic Design and Some Extensions. In Systems Under Indirect Observation, Part II, Jöreskog K.G., Wold H. (eds). North Holland, Amsterdam, pp. 1-54. | MR | Zbl

Woltz W.G., Reid W.A. and Colwell W.E. (1948), Sugar and Nicotine in Cured Bright Tobacco as Related to Mineral Elements Composition, Proc. Soil Sci. Soc. Am., 13, 385 -387.