World Scientific Publishing Co., 2010, 436 pages
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 functional relationships of sounding signal fields and
parameters of the medium
Ray theory of wave field propagation
Methods for parameter estimation of geophysical objects
Statistical criteria for choice of model
Algorithms of approximation of geophysical data
Elements of applied functional analysis for problem of estimation
of the parameters of geophysical objects
Construction and interpretation of tomographic functionals
Tomography methods of recovering the image of medium
Methods of transforms and analysis of the geophysical data
Troyan V., Kiselev Y. Statistical Methods of Geophysical Data Processing
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