Asymptotic integrated mean square error of the hybrid spline estimator of the regression;Convergence en moyenne quadratique de l'estimateur de la régression par splines hybrides

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 326, Issue 5, 1998, Pages 615-618

  Cardot, Hervé ^a   Diack, Cheikh A T ^a  

^a INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009022187     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0764-4442(98)85017-9     Document Type: Article

References (8)

1. Agarwal G., Studden W. Asymptotic integrated mean square error using least squares and bias minimizing splines. Ann. Statis. 8:1980;1307-1325.
2. Besse P., Cardot H., Ferraty F. Simultaneous nonparametric regressions of unbalanced longitudinal data. Comput. Statis. Data Anal. 24:1997;255-270.
3. Burman P. Regression function estimation from dependant observations. J. Multivariate Anal. 36:1991;263-279.
4. Cardot H. Convergence en moyenne quadratique de l'analyse en composantes principales fonctionnelle en présence d'observations discrétisées. Publ. Lab. Statis. Probab. Toulouse. 1997;03-97.
5. Diack C., Thomas-Agnan C., A nonparametric test of non-convexity of the regression, J. Nonparametric Statis. (to appear).
6. Kelly C., Rice J. Monotone smoothing with application to dose-response curves and the assessment of synergism. Biometrics. 46:1990;1071-1085.
7. Schumaker L. Spline Functions: Basic Theory. 1981;Wiley-Interscience.
8. Wahba G. Spline Models for Observational Data. 1990;SIAM, Philadelphia.