Title Statements
- Full title :Probability and Randomness.
Edition Statements
- Publication Date:2016.
Publication Statements
- Publisher(s):Imperial College Press
- Place of Publication:London
- Language:eng
- Publication Date:2016.
Notes
5.3.2 Contextual analog of the two-slit experiment.
The Physical Object
- Description:1 online resource (299 pages)
Edition Identifiers
- ISBN:1783267968, 9781783267965
- oclc:ocn956688975
Table of Contents
Preface; 1. Foundations of Probability; 1.1 Interpretation Problem in Quantum Mechanics and Classical Probability Theory; 1.2 Kolmogorov Axiomatics of Probability Theory; 1.2.1 Events as sets and probability as measure on afamily of sets representing events; 1.2.2 The role of countable-additivity (˙-additivity); 1.2.3 Probability space; 1.3 Elementary Properties of Probability Measure; 1.3.1 Consequences of finite-additivity; 1.3.2 Bell's inequality in Wigner's form; 1.3.3 Monotonicity of probability; 1.4 Random Variables; 1.5 Conditional Probability; Independence; Repeatability.
1.6 Formula of Total Probability1.7 Law of Large Numbers; 1.8 Kolmogorov's Interpretation of Probability; 1.9 Random Vectors; Existence of Joint Probability Distribution; 1.9.1 Marginal probability; 1.9.2 From Boole and Vorob'ev to Bell; 1.9.3 No-signaling in quantum physics; 1.9.4 Kolmogorov theorem about existence of stochastic processes; 1.10 Frequency (von Mises) Theory of Probability; 1.11 Subjective Interpretation of Probability; 1.12 Gnedenko's Viewpoint on Subjective Probability and Bayesian Inference; 1.13 Cournot's Principle; 2. Randomness; 2.1 Random Sequences.
2.1.1 Approach of von Mises: ra…
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