By Igor I. Gorban
This monograph investigates violations of statistical balance of actual occasions, variables, and strategies and develops a brand new physical-mathematical thought bearing in mind such violations – the speculation of hyper-random phenomena. There are 5 components. the 1st describes the phenomenon of statistical balance and its good points, and develops tools for detecting violations of statistical balance, particularly whilst facts is restricted. the second one half offers a number of examples of genuine tactics of alternative actual nature and demonstrates the violation of statistical balance over huge statement periods. The 3rd half outlines the mathematical foundations of the speculation of hyper-random phenomena, whereas the fourth develops the rules of the mathematical research of divergent and many-valued features. The 5th half comprises theoretical and experimental reviews of statistical legislation the place there's violation of statistical stability.
The monograph will be of specific curiosity to engineers and scientists normally who examine the phenomenon of statistical balance and use statistical tools for high-precision measurements, prediction, and sign processing over lengthy statement intervals.
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This monograph investigates violations of statistical balance of actual occasions, variables, and techniques and develops a brand new physical-mathematical concept considering such violations – the speculation of hyper-random phenomena. There are 5 elements. the 1st describes the phenomenon of statistical balance and its positive factors, and develops tools for detecting violations of statistical balance, specifically while information is restricted.
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The Statistical Stability Phenomenon (Mathematical Engineering) by Igor I. Gorban