Analyse canonique basée sur des estimateurs robustes de la matrice de covariance

Christophe Croux; Catherine Dehon

Revue de Statistique Appliquée (2002)

  • Volume: 50, Issue: 2, page 5-26
  • ISSN: 0035-175X

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Croux, Christophe, and Dehon, Catherine. "Analyse canonique basée sur des estimateurs robustes de la matrice de covariance." Revue de Statistique Appliquée 50.2 (2002): 5-26. <http://eudml.org/doc/106517>.

@article{Croux2002,
author = {Croux, Christophe, Dehon, Catherine},
journal = {Revue de Statistique Appliquée},
language = {fre},
number = {2},
pages = {5-26},
publisher = {Société française de statistique},
title = {Analyse canonique basée sur des estimateurs robustes de la matrice de covariance},
url = {http://eudml.org/doc/106517},
volume = {50},
year = {2002},
}

TY - JOUR
AU - Croux, Christophe
AU - Dehon, Catherine
TI - Analyse canonique basée sur des estimateurs robustes de la matrice de covariance
JO - Revue de Statistique Appliquée
PY - 2002
PB - Société française de statistique
VL - 50
IS - 2
SP - 5
EP - 26
LA - fre
UR - http://eudml.org/doc/106517
ER -

References

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  1. T.W. Anderson (1999), Asymptotic Theory for Canonical Correlation Analysis. Journal of Multivariate Analysis, 70, 1-29. Zbl0943.62056MR1701396
  2. R.W. Butler, P.L. Davies & M. Jhun (1993), Asymptotics for the Minimum Covariance Determinant Estimator. The Annals of Statistics, 21, 1385-1400. Zbl0797.62044MR1241271
  3. N.A. Campbell (1982), Robust Procedures in Multivariate Analysis : Robust Canonical Variate Analysis. Applied Statistics, 31, 1- 8. Zbl0497.62035
  4. C. Croux & G. Haesbroeck (1999), Influence Function and Efficiency of the Minimum Covariance Determinant Scatter Matrix Estimator. Journal of Multivariate Analysis, 71,161-190 Zbl0946.62055MR1735108
  5. 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. Zbl0956.62047MR1789812
  6. 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. Zbl0805.62020MR1293045
  7. 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. Zbl0593.62027MR829458
  8. H. Hotelling (1936), Relations between two sets of variates. Biometrika, 28, 321-377. Zbl0015.40705JFM62.0618.04
  9. P.L. Hsu (1941), On the Limiting Distribution of the Canonical Correlations. Biometrika, 32, 38-45. Zbl0063.02909MR3539JFM67.0488.03
  10. R.A. Johnson & D.W. Wichern (1992) Applied Multivariate Statistical Analysis. Prentice Hall International Editions. Zbl0745.62050MR1168210
  11. 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). 
  12. H.P. Lopuhaä (2000) Asymptotics of Reweighted Estimators of Multivariate Location and Scatter. The Annals of Statistics, 27, 1638-1665. Zbl0957.62017MR1742503
  13. 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. Zbl0733.62058MR1091847
  14. R.A. Maronna (1976), Robust M-estimators of Multivariate Location and Scatter. The Annals of Statistics, 4, 51-67. Zbl0322.62054MR388656
  15. N.J. Pullman (1976) Matrix theory and its applications : selected topics. Marcel Dekker, New York. Zbl0339.15001MR429941
  16. A.C. Rencher (1998) Multivariate Statistical Inference and Applications, New York: Wiley. Zbl0932.62065
  17. M. Romanazzi (1992) Influence in Canonical Correlation Analysis. Psychometrika, 57, 237-259. Zbl0760.62056MR1173591
  18. 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. Zbl0609.62054MR851060
  19. P.J. Rousseeuw & K. Van DRIESSEN (1999), A fast algorithm for the minimum covariance determinant estimator. Technometrics, 41, 212-23. 
  20. P.J. Rousseeuw & B.C. Van ZOMEREN (1990), Unmasking multivariate outliers and leverage points. Journal of the American Statistical Association, 85, 663-639. 
  21. R. Sibson (1979), Studies in the Robustness of Multidimensional Scaling : Perturbational Analysis of Classical Scaling. Journal of the Royal Statistical SocietyB, 41, 217- 229. Zbl0413.62046MR547248
  22. M. Tenenhaus (1998), La Régression PLS. Théorie et Pratique, Paris: Technip. Zbl0923.62058MR1645125

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