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The natural axiom system of probability theory : mathematical model of the random universe /
The causation space established in this text is a mathematical model of the random universe and a "living house" of all random tests and probability spaces. By using this space, one can introduce the mathematical calculation methods related to probability spaces and random tests. The work...
| Cote: | Libro Electrónico |
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| Auteur principal: | |
| Format: | Électronique eBook |
| Langue: | Inglés Chino |
| Publié: |
River Edge, N.J. :
World Scientific,
2003.
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| Sujets: | |
| Accès en ligne: | Texto completo |
Table des matières:
- Preliminary
- 1. Real background of probability theory. 1.1. Research object. 1.2. Research task. 1.3. Probability
- 2. Natural axiom system of probability theory. 2.1. Element of probability theory and six groups of axioms. 2.2. The first group of axioms: the group of axioms of event space. 2.3. The second group of axioms: the group of axioms of causal space. 2.4. The third group of axioms: the group of axioms of random test. 2.5. Several kinds of typical random tests. 2.6. Joint random tests. 2.7. The forth group of axioms: the group of axioms of probability measure. 2.8. Point functions on random test. 2.9. The fifth group of axioms: the group of axioms of conditional probability measure. 2.10. Point functions on random test (continued). 2.11. The sixth group of axioms: the group of axioms of probability modelling
- 3. Introduction of random variables. 3.1. Intuitive background of random variables. 3.2. Basic conceptions of random variable. 3.3. Basic conceptions of random vector. 3.4. Basic conceptions of broad stochastic process.