Randomness and Hyper-randomness

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 par...

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Bibliographic Details
Main Author: Gorban, Igor I. (Author)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing, 2018.
Edition:1st ed. 2018.
Series:Mathematical Engineering,
Subjects:
Applied mathematics.
Engineering mathematics.
Physical measurements.
Measurement .
Statistics .
Probabilities.
Statistical physics.
Signal processing.
Image processing.
Speech processing systems.
ISBN:9783319607801
ISSN:2192-4732
Online Access: Get full text
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Table of Contents:
  • Part I The Phenomenon of Statistical Stability
  • The Physical Phenomenon of Statistical Stability
  • Part II The Probability Theory
  • Basis of the Probability Theory
  • Stochastic Functions
  • Fundamentals of the Mathematical Statistics of the Probability Theory
  • Assessment of the Measurement Accuracy on the Basis of Probability Theory
  • Part III Experimental Study of the Statistical Stability Phenomenon
  • Methodology and Results from Investigation of the Statistical Stability of Processes
  • Part IV The Theory of Hyper-Random Phenomena
  • Basis of the Theory of Hyper-Random Phenomena
  • Hyper-Random Functions
  • Fundamentals of the Mathematical Statistics of Hyper-Random Phenomena
  • Assessing Measurement Accuracy on the Basis of the Theory of Hyper-Random Phenomena
  • Part V The Problem of Adequate Description of the World
  • Determinism, Uncertainty, Randomness, And Hyperrandomness
  • Epilogue
  • References
  • Index.

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