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)
Corporate Author: SpringerLink (Online service)
Format: e-Book
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
Edition:1st ed. 2018.
Series:Mathematical Engineering,
Subjects:
Engineering mathematics.
Engineering > Data processing.
Measurement.
Measuring instruments.
Statistics .
Probabilities.
Mathematical physics.
Signal processing.
Mathematical and Computational Engineering Applications.
Measurement Science and Instrumentation.
Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences.
Probability Theory.
Theoretical, Mathematical and Computational Physics.
Signal, Speech and Image Processing.
Online Access:Full-text access
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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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