M. Moscow Post . Un-ta, 1991. — 192 s. The monograph considers methods and results of solving inverse problems of astrophysics within parametric models. For the first time, the domestic literature is given a systematic presentation of stable methods for solving inverse problems with a statistical error model .. The statistical theorems justify effective methods of constructing confidence intervals (errors) of the desired parameters of the model. are given. For nonlinear parametric problems, new mathematical results have been obtained. Astrophysical results on the physics and evolution of close binary stars, the study of the coverage of stars by the Moon, the determination of the periods of change in the brightness of non-stationary stars. Most of the astrophysical applications described in the book are original research by the authors. For astronomers and scientists interested in modern methods of interpretation of experimental data