Simultaneous sharp estimation of functions and their derivatives

Annals of Statistics

Volumn 26, Issue 1, 1998, Pages 273-278

  Efromovich, Sam ^a  

^a UNIVERSITY OF NEW MEXICO   (United States)

Author keywords

Adaptation; Filtering; Linear estimates; Minimax; Sobolev functions

Indexed keywords

EID: 0032378971     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1030563985     Document Type: Article

References (6)

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3. NEMIROVSKII, A. (1985). Nonparametric estimation of smooth regression function. J. Comput. System. Sci. 23 1-11.
4. RICE, J. and ROSENBLATT, M. (1983). Smoothing splines: regression, derivatives and deconvolution. Ann. Statist. 11 141-156.
5. STONE, C. J. (1982). Optimal global rates of convergence for nonparametric regression. Ann. Statist. 10 1040-1053.
6. 2 with general loss. Problems Inform. Trans. 33. To appear.