| Université Paris 6 Pierre et Marie Curie | Université Paris 7 Denis Diderot | |
| CNRS U.M.R. 7599 | ||
| ``Probabilités et Modèles Aléatoires'' | ||
Auteur(s):
Code(s) de Classification MSC:
Résumé: This note presents a method of adaptive estimation for a class of inverse problems with random noise. We show that the proposed method attains the best rate of adaptive estimation in $L_2$, but this rate is slower than the "non-adaptive" minimax rate by a logarithmic factor.
Mots Clés: Adaptive curve estimation ; Statistical inverse problems ; Heavily ill-posed problems ; Optimal rate of adaptation
Date: 2000-03-27
Prépublication numéro: PMA-579
Postscript file : PMA-579.ps