Fractal dimensionality and regression estimation in semi-normal vectorial spaces;Dimension fractale et estimation de la régression dans des espaces vectoriels semi-normés

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

Volumn 330, Issue 2, 2000, Pages 139-142

  Ferraty, Frédéric ^a   Vieu, Philippe ^a  

^a INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034649922     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(00)00140-3     Document Type: Article

References (6)

1. Bardet J.-M., Tests d'autosimilarité des processus gaussiens. Dimension Fractale et Dimension de Corrélation, Thèse, Université Paris-Sud, France, 1997.
2. Ferraty F., Vieu P., Functional Nonparametric Model for Scalar Response, Preprint, 1999.
3. Härdle W., Applied Nonparametric Regression, Cambridge University Press, 1990.
4. Pesin Ya.B., On rigourous mathematical definitions of correlation dimension and generalized spectrum for dimensions, J. Statis. Phys. 71 (1993) 529-547.
5. Ramsay J., Silverman B., Functional Data Analysis, Springer-Verlag, 1997.
6. Stone C., Optimal global rate of convergence of nonparametric regression, Ann. Statis. 12 (1982) 1040-1053.