Close Binary Stars. II: Parametric Models in Inverse Problems of Astrophysicsстатья
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Дата последнего поиска статьи во внешних источниках: 17 июля 2024 г.
Аннотация:The paper gives an overview of parametric models in inverse problems of astrophysics. The statis-tical formulation of the finite-parametric inverse problem, the testing of statistical hypotheses, and the con-struction of confidence regions are described. The cases of linear and nonlinear parameters are considered.Astrophysical applications of the methods and practical recommendations for their application are given.Estimation of parameter errors is described for the case of a classical close binary system. A numerical exper-iment for assessing the reliability of the differential correction method, Monte Carlo method, and confidenceregion method is analyzed. The observed light curve is analyzed using the classical eclipsing system YZ Casas an example. The determination of the limb darkening coefficient for the components of this system isdescribed. The error intervals obtained using the and statistics are compared with the differential cor-rection method.