Sur l'usage de la validation croisée en analyse en composantes principales
Besse, P. ; Ferre, L.
Revue de Statistique Appliquée, Tome 41 (1993), p. 71-76 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1993-01-01
@article{RSA_1993__41_1_71_0,
     author = {Besse, Philippe and Ferr\'e, L.},
     title = {Sur l'usage de la validation crois\'ee en analyse en composantes principales},
     journal = {Revue de Statistique Appliqu\'ee},
     volume = {41},
     year = {1993},
     pages = {71-76},
     mrnumber = {1253513},
     zbl = {0972.62511},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/RSA_1993__41_1_71_0}
}

Besse, P.; Ferre, L. Sur l'usage de la validation croisée en analyse en composantes principales. Revue de Statistique Appliquée, Tome 41 (1993) pp. 71-76. http://gdmltest.u-ga.fr/item/RSA_1993__41_1_71_0/

Allen D.M. (1971). The prediction sum of squares as a criterion for selecting variables. Tech. Report n° 23, Dpt of Statistics, Univ. of Kentucky.

Besse Ph. (1992). PCA Stability and Choice of Dimensionality. Statistics & Probability Letters, 13, 405-410. | MR 1175167 | Zbl 0743.62046

Caussinus H. (1986). Models and uses of principal components analysis. Multidimensional Data Analysis, J. de Leeuw et al. (eds.), DSWO Press, Leiden, 149- 170.

Craven P., Wahba G. (1979). Smoothing noisy data with spline functions. Numerische Mathematik, 31, 377-403. | MR 516581 | Zbl 0377.65007

Critchley F. (1985). Influence in principal components analysis, Biometrika, 72, 627-636. | MR 817577 | Zbl 0608.62068

Daudin J.J., Duby C., Trécourt P. (1989). P.C.A. stability studied by the bootstrap and the infinitesimal jackknife method. Statistics, 20, 255- 270. | MR 996868 | Zbl 0671.62038

Eastment M.T., Krzanowski W.J. (1982). Cross-validatory choice of the number of components from a principal components analysis. Technometrics, 24, 73-77. | MR 653115

Györfi L., Härdle W., Sarda P., Vieu P. (1989). Non parametric curve estimation from time series. Lecture Note in Statistics, 60, Springer Verlag, Heidelberg. | MR 1027837 | Zbl 0697.62038

Jolliffe I.T. (1986). Principal component analysis, Springer Verlag, New-York. | MR 841268

Kato T.. (1966). Perturbation theory for linear operators. Springer Verlag, New-York. | MR 203473 | Zbl 0148.12601

Krzanowski W.J. (1983). Cross-validation choice in principal component analysis : some sampling results. Journal of Statistical Computational Simulation, 18.

Krzanowski W.J. (1987). Cross-validation in principal component analysis. Biometrics, 43, 575-584. | MR 909759

Wold S. (1978). Cross-validatory estimation of the number of components in factor and principal components models. Technometrics, 20, 397 -405. | Zbl 0403.62032