Sur l'usage de la validation croisée en analyse en composantes principales

P. Besse; L. Ferre

Revue de Statistique Appliquée (1993)

  • Volume: 41, Issue: 1, page 71-76
  • ISSN: 0035-175X

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Besse, P., and Ferre, L.. "Sur l'usage de la validation croisée en analyse en composantes principales." Revue de Statistique Appliquée 41.1 (1993): 71-76. <http://eudml.org/doc/106331>.

@article{Besse1993,
author = {Besse, P., Ferre, L.},
journal = {Revue de Statistique Appliquée},
language = {fre},
number = {1},
pages = {71-76},
publisher = {Société de Statistique de France},
title = {Sur l'usage de la validation croisée en analyse en composantes principales},
url = {http://eudml.org/doc/106331},
volume = {41},
year = {1993},
}

TY - JOUR
AU - Besse, P.
AU - Ferre, L.
TI - Sur l'usage de la validation croisée en analyse en composantes principales
JO - Revue de Statistique Appliquée
PY - 1993
PB - Société de Statistique de France
VL - 41
IS - 1
SP - 71
EP - 76
LA - fre
UR - http://eudml.org/doc/106331
ER -

References

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  1. 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. 
  2. Besse Ph. (1992). PCA Stability and Choice of Dimensionality. Statistics & Probability Letters, 13, 405-410. Zbl0743.62046MR1175167
  3. Caussinus H. (1986). Models and uses of principal components analysis. Multidimensional Data Analysis, J. de Leeuw et al. (eds.), DSWO Press, Leiden, 149- 170. 
  4. Craven P., Wahba G. (1979). Smoothing noisy data with spline functions. Numerische Mathematik, 31, 377-403. Zbl0377.65007MR516581
  5. Critchley F. (1985). Influence in principal components analysis, Biometrika, 72, 627-636. Zbl0608.62068MR817577
  6. 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. Zbl0671.62038MR996868
  7. Eastment M.T., Krzanowski W.J. (1982). Cross-validatory choice of the number of components from a principal components analysis. Technometrics, 24, 73-77. MR653115
  8. Györfi L., Härdle W., Sarda P., Vieu P. (1989). Non parametric curve estimation from time series. Lecture Note in Statistics, 60, Springer Verlag, Heidelberg. Zbl0697.62038MR1027837
  9. Jolliffe I.T. (1986). Principal component analysis, Springer Verlag, New-York. Zbl1011.62064MR841268
  10. Kato T.. (1966). Perturbation theory for linear operators. Springer Verlag, New-York. Zbl0148.12601MR203473
  11. Krzanowski W.J. (1983). Cross-validation choice in principal component analysis : some sampling results. Journal of Statistical Computational Simulation, 18. 
  12. Krzanowski W.J. (1987). Cross-validation in principal component analysis. Biometrics, 43, 575-584. MR909759
  13. Wold S. (1978). Cross-validatory estimation of the number of components in factor and principal components models. Technometrics, 20, 397 -405. Zbl0403.62032

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