by Vladimir Troyan (Saint Petersburg State University, Russia) & Yurii Kiselev (Saint Petersburg State University, Russia)

This textbook contains a consideration of the wide field of problems connected with statistical methods of processing of observed data, with the main examples and considered models related to geophysics and seismic exploration. This textbook will be particularly helpful to students and professionals from various fields of physics, connected with an estimation of the parameters of the physical objects by experimental data. The reader can also find many important topics, which are the basis for statistical methods of estimation and inverse problem solutions.

• Basic Concepts of the Probability Theory
• Elements of Mathematical Statistics
• Models of Measurement Data
• The Relationships of Sounding Signal and Medium Parameters
• Ray Theory of Wave Propagation
• Methods for Parameter Estimation
• Statistical Criteria for Choice of Model
• Algorithms of Approximation of Geophysical Data
• Elements of Applied Functional Analysis
• Construction of Tomographic Functionals
• Tomography Methods of recovering the Image of Medium
• Methods of Transforms and Data Analysis