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The Statistical Stability Phenomenon (Hardcover, 1st ed. 2017)
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The Statistical Stability Phenomenon (Hardcover, 1st ed. 2017)
Series: Mathematical Engineering
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This monograph investigates violations of statistical stability of
physical events, variables, and processes and develops a new
physical-mathematical theory taking into consideration such
violations - the theory of hyper-random phenomena. There are five
parts. The first describes the phenomenon of statistical stability
and its features, and develops methods for detecting violations of
statistical stability, in particular when data is limited. The
second part presents several examples of real processes of
different physical nature and demonstrates the violation of
statistical stability over broad observation intervals. The third
part outlines the mathematical foundations of the theory of
hyper-random phenomena, while the fourth develops the foundations
of the mathematical analysis of divergent and many-valued
functions. The fifth part contains theoretical and experimental
studies of statistical laws where there is violation of statistical
stability. The monograph should be of particular interest to
engineers and scientists in general who study the phenomenon of
statistical stability and use statistical methods for
high-precision measurements, prediction, and signal processing over
long observation intervals.
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