Randomness and Hyper-randomness

Author:   Igor I. Gorban
Publisher:   Springer International Publishing AG
Edition:   Softcover reprint of the original 1st ed. 2018
ISBN:  

9783319869315


Pages:   216
Publication Date:   11 August 2018
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Randomness and Hyper-randomness


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Overview

The monograph compares two approaches that describe the statistical stability phenomenon – one proposed by the probability theory that ignores violations of statistical stability and another proposed by the theory of hyper-random phenomena that takes these violations into account. There are five parts. The first describes the phenomenon of statistical stability. The second outlines the mathematical foundations of probability theory. The third develops methods for detecting violations of statistical stability and presents the results of experimental research on actual processes of different physical nature that demonstrate the violations of statistical stability over broad observation intervals. The fourth part outlines the mathematical foundations of the theory of hyper-random phenomena. The fifth part discusses the problem of how to provide an adequate description of the world. The monograph should be interest to a wide readership: from university students on a first course majoring in physics, engineering, and mathematics to engineers, post-graduate students, and scientists carrying out research on the statistical laws of natural physical phenomena, developing and using statistical methods for high-precision measurement, prediction, and signal processing over broad observation intervals. To read the book, it is sufficient to be familiar with a standard first university course on mathematics.

Full Product Details

Author:   Igor I. Gorban
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   Softcover reprint of the original 1st ed. 2018
Weight:   0.454kg
ISBN:  

9783319869315


ISBN 10:   3319869310
Pages:   216
Publication Date:   11 August 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.
Language:   English

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Igor I. Gorban graduated from the Kiev Polytechnic Institute, USSR, majoring in hydroacoustics. At the MorPhysPribor Central Research Institute, Leningrad, he received a Ph.D., and at the Institute of Cybernetics of the Academy of Sciences of Ukraine, Kiev, a Dr. Sc. He was awarded the academic rank of Senior Research Associate and then Full Professor.He worked at the Kiev Research Institute for Hydroequipment, participating in a number of developmental and research programmes. He was in charge of algorithms for several sonar systems, was a research adviser for two scientific expeditions to the Pacific to study hydroacoustic signals, was the first deputy to the Chief Designer and Chief Designer of the sonar complexes. Since 1993 he has been working at the Institute of Mathematical Machines and Systems Problems, National academy of Sciences of Ukraine, as Principal Scientist and Deputy Director for Research. Igor I. Gorban is the author of more than 200 scientific publications and several books devoted to: • the theory of space-time processing of hydroacoustic signals under complex dynamic conditions, • the theory of fast multi-channel processing of hydroacoustic signals, and• the physical-mathematical theory of hyper-random phenomena that takes into account violations of statistical stability.

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