Randomness and Hyper-randomness

Part I. The Phenomenon of Statistical Stability

1. The Physical Phenomenon of Statistical Stability
Igor I. Gorban

Part II. Probability Theory

2. Basis of Probability Theory
Igor I. Gorban

3. Stochastic Functions
Igor I. Gorban

4. Fundamentals of the Mathematical Statistics of Probability Theory
Igor I. Gorban

5. Assessing Measurement Accuracy on the Basis of Probability Theory
Igor I. Gorban

Part III. Experimental Study of the Statistical Stability Phenomenon

6. Methodology and Results from Investigation of the Statistical Stability of Processes
Igor I. Gorban

Part IV. The Theory of Hyper-random Phenomena

7. Basis of the Theory of Hyper-random Phenomena
Igor I. Gorban

8. Hyper-random Functions
Igor I. Gorban

9. Fundamentals of the Mathematical Statistics of Hyper-random Phenomena
Igor I. Gorban

10. Assessing Measurement Accuracy on the Basis of the Theory of Hyper-random Phenomena
Igor I. Gorban

Part V. The Problem of Adequate Description of the World

11. Determinism, Uncertainty, Randomness, and Hyper-randomness
Igor I. Gorban

Keywords: Engineering, Mathematical and Computational Engineering, Measurement Science and Instrumentation, Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences, Probability Theory and Stochastic Processes, Statistical Physics and Dynamical Systems, Signal, Image and Speech Processing