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 languageEnglish
Article number030
Pages (from-to)1273-1281
Number of pages9
JournalJournal of Physics A: Mathematical and General
Volume25
Issue number5
DOIs
StatePublished - 1992

    Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

ID: 71601474