Estimations de transformations optimales en ACP curvilinéaire
Revue de Statistique Appliquée, Volume 45 (1997) no. 1, p. 5-39
@article{RSA_1997__45_1_5_0,
     author = {Ferraty, F.},
     title = {Estimations de transformations optimales en ACP curvilin\'eaire},
     journal = {Revue de Statistique Appliqu\'ee},
     publisher = {Soci\'et\'e de Statistique de France},
     volume = {45},
     number = {1},
     year = {1997},
     pages = {5-39},
     language = {fr},
     url = {http://www.numdam.org/item/RSA_1997__45_1_5_0}
}
Ferraty, F. Estimations de transformations optimales en ACP curvilinéaire. Revue de Statistique Appliquée, Volume 45 (1997) no. 1, pp. 5-39. http://www.numdam.org/item/RSA_1997__45_1_5_0/

Becker R., Chambers J. et Wilks A. (1988), The New S Language, a Programming Environment for Data Analysis and Graphics, Wadsworth and Brooks/Cole. | Zbl 0642.68003

Besse P. et Ferraty F. (1995), A Fixed Effect Curvilinear Model, Computational Statistics, 10, 339-351. | MR 1405505 | Zbl 0934.62062

Cazes P. (1990), Codage d'une variable continue en vue d'une analyse des correspondances, Revue de Statistique Appliquée, 38(3), 35-51. | Numdam

Champely S. (1994), Analyse de données fonctionnelles; approximation par les splines de régression, PhD Thesis, Université Claude Bernard - Lyon 1.

De Boor C. (1978), A Practical Guide to Splines, Springer-Verlag. | MR 507062 | Zbl 0406.41003

De Leeuw J. (1982), Non-linear Principal Component Analysis, In Caussinus, H et al., editors, Compstat 82, Proceedings in Comp. Stat., p. 77-85, Physica-Verlag.

De Leeuw J. et Rijckvorsel J. v. (1988), Component and Correspondence Analysis, New York, Wiley. | MR 1021005

De Leeuw J., Rijckvorsel J. v. et Wonder H. (1981), Non-linear Principal Components Analysis with b-spline, Methods of Operations Research, 33, 379-393. | Zbl 0505.62037

Delecroix M., Simioni M. et Thomas-Agnan C. (1996), Functional Estimation under Shape Constraint, To Appear in Journal of Nonparametric Statistics. | MR 1382073 | Zbl 0862.62034

Efron B. et Tibshirani R. (1986), Bootstrap Methods for Standard Errors, Confidence Intervals, and Other Measures of Statistical Accuracy, Statistical Science, 1 (1), 54-77. | MR 833275 | Zbl 0587.62082

Gifi A. (1990), Non-linear Multivariate Analysis, Wiley. | MR 1076188 | Zbl 0697.62048

Hastie T.J. et Tibshirani R. (1990), Generalized Additive Models, Chapman and Hall. | MR 1082147 | Zbl 0747.62061

Kelly C. et Rice J. (1990), Monotone Smoothing with Application to Dose-Response curves and the Assessment of Synergian, Biometrics, 18, 75-86.

Kruskal J. et Shepard R. (1974), A Nonmetric Variety of Linear Factor Analysis, Psychometrika, 38, 123-157. | MR 353575 | Zbl 0295.62064

Lafaye De Michaux D. (1978), Approximation d'Analyse Canonique non Linéaire de Variables Aléatoires et Analyses Factorielles Privilégiantes, PhD thesis, Université de Nice.

Mcdonald G.C. et Schwing R.C. (1973), Instabilities of Regression Estimates Relating Air Pollution to Mortality, Technometrics, 15, 463-481.

Ramsay J. (1988), Monotone Regression Splines in Action, Statistical Sciences, 3, 425-461.

Rijckvorsel J.L.A. V. (1982), Canonical Analysis with b-spline, In Caussinus, H. e. a., editor, Compstat'82, p. 393-398, Physica-Verlag.

Rijckvorsel J.L.A. V. (1988), Fuzzy Coding and b-spline, In Rijckvorsel, J.L.A. v. and de Leeuw J., editors, Component and Correspondence Analysis, p. 33-54, Wiley.

Rijckvorsel J.L.A. V. et Tessitore G. (1993), A Technical Description of the Algorithm for Macca, Technical Report, Dept. of Statistics and Computer Science, TNO Institute of Preventive Health Care, Leiden.

Sas (1989), SAS. STAT User's Guide, fourth edition, version 6.

Schumaker L. (1981), Spline Functions : Basic Theory, Wiley. | MR 606200 | Zbl 0449.41004

Thurstone L. (1947), Multiple Factor Analysis, Univ. Chicago Press. | MR 21272 | Zbl 0029.22203

Wahba G. (1990), Spline Models for Observational Data, SIAM. | MR 1045442 | Zbl 0813.62001

Winsberg S. et Ramsay J. (1983), Monotone Spline Transformations for Dimension Reduction, Psychometrika, 48, 575-599.