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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.
Original language | English |
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Article number | 030 |
Pages (from-to) | 1273-1281 |
Number of pages | 9 |
Journal | Journal of Physics A: Mathematical and General |
Volume | 25 |
Issue number | 5 |
DOIs | |
State | Published - 1992 |
ID: 71601474