Nonparametric estimation of a trend based upon sampled continuous processes

Comptes Rendus Mathematique

Volumn 347, Issue 3-4, 2009, Pages 191-194

  Degras, David ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 60449086060     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2008.12.016     Document Type: Article

References (15)

1. Azzalini A., Bowman A.W., and Härdle W. On the use of nonparametric regression for model checking. Biometrika 76 (1989) 1-11
2. Benhenni K., and Rachdi M. Nonparametric estimation of the average growth curve with a general nonstationary error process. Comm. Statist. Theory Methods 36 (2007) 1173-1186
3. Cardot H. Nonparametric estimation of smoothed principal components analysis of sampled noisy functions. J. Nonparametr. Statist. 12 (2000) 503-538
4. Clark R.M. Non-parametric estimation of a smooth regression function. J. Roy. Statist. Soc. B 39 (1977) 107-113
5. Degras D. Asymptotics for the nonparametric estimation of the mean function of a random process. Statist. Probab. Lett. 78 (2008) 2976-2980
6. Degras D., and Jallet R. Convergence de l'estimateur spline cubique de lissage dans un modèle de régression longitudinale avec erreur de type processus. C. R. Math. Acad. Sci. Paris, Ser. I 340 (2005) 851-854
7. Eubank R.L., and Speckman P.L. Confidence bands in nonparametric regression. J. Amer. Statist. Assoc. 88 (1993) 1287-1301
8. Ferraty F., and Vieu P. Nonparametric Functional Data Analysis (2006), Springer, New York
9. Hart J.D., and Wehrly T.E. Kernel regression estimation using repeated measurements data. J. Amer. Statist. Assoc. 81 (1986) 1080-1088
10. Landau H., and Shepp L.A. On the supremum of a Gaussian process. Sankhyã 32 (1970) 369-378
11. Knafl G., Spiegelman C., Sacks J., and Ylvisaker D. Nonparametric calibration. Technometrics 26 (1984) 233-241
12. Pollard D. Empirical Processes: Theory and Applications. Regional Conference Series in Probability and Statistics vol. 2 (1990), Institute of Mathematical Statistics, Hayward, CA
13. Ramsay J.O., and Silverman B.W. Functional Data Analysis. second ed. (2005), Springer, New York
14. Xia Y. Bias-corrected confidence bands in nonparametric regression. J. Roy. Statist. Soc. B 60 (1998) 797-811
15. Yao F. Asymptotic distributions of nonparametric regression estimators for longitudinal or functional data. J. Multivariate Anal. 98 (2007) 40-56