TY - JOUR

T1 - Minimax estimation in a deconvolution problem

AU - Ermakov, M. S.

N1 - Copyright: Copyright 2007 Elsevier B.V., All rights reserved.

PY - 1992

Y1 - 1992

N2 - Considers a convolution equation with the right-hand side known with a radom noise. A priori information that the solution belongs to an ellipsoid in hilbert space is given. The author constructs the minimax estimators of the convolution of the solution with a generalized function h. As an example the estimation problem of the derivative of the solution is studied.

AB - Considers a convolution equation with the right-hand side known with a radom noise. A priori information that the solution belongs to an ellipsoid in hilbert space is given. The author constructs the minimax estimators of the convolution of the solution with a generalized function h. As an example the estimation problem of the derivative of the solution is studied.

UR - http://www.scopus.com/inward/record.url?scp=0006530607&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/25/5/030

DO - 10.1088/0305-4470/25/5/030

M3 - Article

AN - SCOPUS:0006530607

VL - 25

SP - 1273

EP - 1281

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 5

M1 - 030

ER -