The article presents new monograph dedicated to the researching of physical phenomenon of statistical stability and exposure of basics of physical-mathematical theory of hyper-random phenomena, the latter describing physical events, variables and processes with consideration of violation of statistical stability. In contrast to two previous author’s monograph devoted to the same subject in which the main attention was paid to the mathematical aspects of the theory of hyper-random phenomena, in the new book the accent is made on physical headwords. The book is oriented on scientists, engineers, and post-graduate students researching in statistical laws of natural physical phenomena as well as developing and using statistical methods for high-precision measuring, prediction and signal processing on long observation intervals. It may also be useful for high-level courses for university students majoring in physical, engineering, and mathematical fields.
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