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Volumn 330, Issue 9, 2000, Pages 835-840

On the best rate of adaptive estimation in some inverse problems;Sur la meilleure vitesse d'estimation adaptative dans des certains problèmes inverses

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EID: 0034179341     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(00)00278-0     Document Type: Article
Times cited : (47)

References (12)
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    • Prépublication n○ 559, laboratoire de probabilités et modèles aléatoires, Universités Paris-VI et Paris-VII
    • [1] Cavalier L., Tsybakov A.B., Sharp adaptation for inverse problems with random noise, Prépublication n○ 559, laboratoire de probabilités et modèles aléatoires, Universités Paris-VI et Paris-VII, 1999.
    • (1999) Sharp Adaptation for Inverse Problems with Random Noise
    • Cavalier, L.1    Tsybakov, A.B.2
  • 4
    • 0025065807 scopus 로고
    • Minimax estimation of the solution of an ill-posed convolution type problem
    • [4] Ermakov M.S., Minimax estimation of the solution of an ill-posed convolution type problem, Probl. of Inform. Transm. 25(1989) 191-200.
    • (1989) Probl. of Inform. Transm. , vol.25 , pp. 191-200
    • Ermakov, M.S.1
  • 5
    • 0000937636 scopus 로고    scopus 로고
    • On pointwise adaptive nonparametric deconvolution
    • [5] Goldenshluger A., On pointwise adaptive nonparametric deconvolution, Bernoulli 5 (1998) 907-926.
    • (1998) Bernoulli , vol.5 , pp. 907-926
    • Goldenshluger, A.1
  • 7
    • 0033116796 scopus 로고    scopus 로고
    • Statistical approach to some inverse boundary problems for partial differential equations
    • [7] Golubev G.K., Khasminskii R.Z., Statistical approach to some inverse boundary problems for partial differential equations, Probl. of Inform. Transm. 35 (1999) 51-66.
    • (1999) Probl. of Inform. Transm. , vol.35 , pp. 51-66
    • Golubev, G.K.1    Khasminskii, R.Z.2
  • 9
    • 0003298461 scopus 로고
    • Minimax theory of image reconstruction
    • Springer-Verlag, New York
    • [9] Korostelev A.P., Tsybakov A.B., Minimax Theory of Image Reconstruction, Lect. Notes in Statis. 82, Springer-Verlag, New York, 1993.
    • (1993) Lect. Notes in Statis. , vol.82
    • Korostelev, A.P.1    Tsybakov, A.B.2
  • 10
    • 0000012624 scopus 로고
    • On a problem of adaptive estimation in Gaussian white noise
    • [10] Lepskii O.V., On a problem of adaptive estimation in Gaussian white noise, Th. Probab. Appl. 35 (1990) 454-466.
    • (1990) Th. Probab. Appl. , vol.35 , pp. 454-466
    • Lepskii, O.V.1
  • 11
    • 0000056062 scopus 로고
    • Optimal filtering of square integrable signals in Gaussian white noise
    • [11] Pinsker M.S., Optimal filtering of square integrable signals in Gaussian white noise, Probl. of Inform. Transm. 16 (1980) 120-133.
    • (1980) Probl. of Inform. Transm. , vol.16 , pp. 120-133
    • Pinsker, M.S.1
  • 12
    • 0032243618 scopus 로고    scopus 로고
    • Pointwise and sup-norm adaptive estimation of functions on the Sobolev classes
    • [12] Tsybakov A.B., Pointwise and sup-norm adaptive estimation of functions on the Sobolev classes, Ann. Statis. 26 (1998) 2420-2469.
    • (1998) Ann. Statis. , vol.26 , pp. 2420-2469
    • Tsybakov, A.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.