Additive prediction and boosting for functional data

Computational Statistics and Data Analysis

Volumn 53, Issue 4, 2009, Pages 1400-1413

  Ferraty, Frédéric ^a   Vieu, Philippe ^a  

^a UNIVERSITÉ PAUL SABATIER   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ADDITIVE MODELS; DATA ANALYSIS; DATA SETS; NON-PARAMETRIC; REGRESSION METHODS; REGRESSION PROBLEMS;

EID: 58549087708     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2008.11.023     Document Type: Article

References (25)

1. Aneiros Perez G., Cardot H., Estevez Perez G., and Vieu P. Maximum ozone concentration forecasting by functional nonparametric approaches. Environmetrics 15 (2006) 675-685
2. Aneiros Perez G., and Vieu P. Semi-functional partial linear regression. Statist. Probab. Lett. 11 (2006) 1102-1110
3. Bühlmann P. Boosting for high-dimensional linear models. Ann. Statist. 34 2 (2006) 559-583
4. Cardot H., Crambes C., Kneip A., and Sarda P. Smoothing splines estimators in functional linear regression with errors-in-variables. Comput. Statist. Data Anal. 51 10 (2007) 4832-4848
5. Cardot, H., Crambes, C., Sarda, P., 2004. Conditional quantiles with functional covariates: An application to ozone pollution forecasting. COMPSTAT 2004. In: Proceedings in Computational Statistics, Physica, Heidelberg, pp. 769-776
6. Chiou J.M., and Müller H.G. Diagnostics for functional regression via residual processes. Comput. Statist. Data Anal. 51 10 (2007) 4849-4863
7. Functional and operatorial statistics. In: Dabo Niang S., and Ferraty F. (Eds). Contribution to Statistics (2008), Physica-Verlag, Springer Heidelberg
8. Escabias M., Aguilera A.M., and Valderrama M.J. Functional PLS logit regression model. Comput. Statist. Data Anal. 51 10 (2007) 4891-4902
9. Fernández de Castro B., Guillas S., and González Manteiga W. Functional samples and bootstrap for predicting sulfur dioxide levels. Technometrics 47 2 (2005) 212-222
10. Ferraty F., Mas A., and Vieu P. Nonparametric regression on functional data: Inference and practical aspects. Aust. N.Z.J. Stat. 49 3 (2007) 267-286
11. Ferraty F., and Vieu P. Nonparametric models for functional data, with applications in regression, time series prediction and curves discrimination. J. Nonparametr. Stat. 16 (2004) 11-127
12. Ferraty, F., Vieu, P., 2006. Nonparametric functional data analysis: Theory and practice. Springer Series in Statistics, New-York
13. Ferraty, F., Vieu, P., 2006b. NPFDA R/S+ library. Free access on line at http://www.lsp.ups-tlse.fr/staph/
14. Friedman J., Hastie T., and Tibshirani R. Additive logistic regression: A statistical view of boosting. Ann. Statist. 38 2 (2000) 337-374
15. González Manteiga W., and Vieu P. Introduction to the special issue on statistics for functional data. Comput. Statist. Data Anal. 51 10 (2007) 4788-4792
16. Harezlak J., Coull B.A., Laid N.M., Margari S.M., and Christiani D.C. Penalized solutions to functional regression problems. Comput. Statist. Data Anal. 51 10 (2007) 4911-4925
17. Krämer, N., 2006. Boosting functional data. In: Proceedings of 17th Intern. Conf. on Comput. Statist., pp. 1121-1228
18. Lafferty J., and Wasserman L. Rodeo: Sparse, greedy nonparametric regression. Ann. Statist. 36 1 (2008) 28-63
19. Marie Davidian M., Lin X., and Wang J.L. Introduction to the emerging issues in longitudinal and functional data analysis (with discussion). Statist. Sinica 14 3 (2004) 613-629
20. Müller, H.G., 2008. Functional additive modelling. In Abstracts of ISNI'2008 meeting, Vigo, Spain. http://www.isni2008.com
21. Ramsay, J., Silverman, B., 2005. Functional data analysis. 2nd ed. Springer Series in Statistics, New-York
22. Schimek, M. (Ed.) 2000. Smoothing and regression: Approaches, computation and application, Wiley Series in Probability and Statistics, New-York
23. Shi, J., Wang, B., Murray-Smith, R., Titterington, D., Gaussian process functional regresson modelling for batch data, Biometrics (63) 714-723
24. Stone C. Additive regression and other nonparametric models. Ann. Statist. 13 (1985) 689-705
25. Valderrama M. Introduction to the special issue on modelling functional data in practice. Comput. Statist. 22 3 (2007) 331-334