Many models in engineering and physical sciences can be explained and approximated using probabilistic and statistical tools.
Constructions of optimal estimates as well as powerful goodness of fit tests
represent main objects of our investigation. In particular, we are concentrated on developing efficient procedures for recovering
unobserved functions and probability distributions in ill-posed and statistical
inverse problems, like deconvolution, demixing and error-in variable models.
The famous classical moment problem and the problem of numerical approximation
of the radon transform inversion have a various applications in different fields
including the image analysis and Computer Tomography.
- Robert Mnatsakanov: Statistical Inverse Problems, The Hausdorff and Stieltjes Moment Problems, Applications of Atatistical Methods in Actuarial and Financial Mathematics