monograph / S. V. Prokopchina. M. - Publishing House "SCIENTIFIC LIBRARY", 2020-292 p
ISBN 978-5-907242-67-8
(The publication was carried out with the financial support of the Russian Foundation for Basic Research under the project No. 20-17-00007)
The following main propositions are put forward and defended in the monograph. The approximation of the probability density of the random variable or random ergodic process should be performed with a given accuracy and reliability, in accordance with a priori and a posteriori information about the type of the studied probability density. Developed on the basis of the Bayesian decision rule, the probability density approximation algorithm meets the set requirements. To ensure the specified accuracy and reliability of the approximation of probability density in the organization of the process of approximation computer's and hybrid computing systems. A unique section is devoted to determining the laws of distribution in conditions of significant uncertainties. The book is intended for researchers, teachers, students and postgraduates, as well as for specialists in the field of analytical data processing.
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