Probability Theory

Part 1. Random and Formalism 1. Lebesgue integral of real functions 2. Notion of random experience 3. Elementary discrete probabilistic models 4. Non-elementary discrete probabilistic models 5. Probabilisables spaces and probabilistic Part 2. Probabilistic space and random variables 6. Real random variables 7. Real discrete random variables and absolutely continuous 8. Couple of real expenditures random variables 9. Esperance of random variables 10. Variance and standard deviation 11. Transfer theorem, moments and characteristic function 12. Examples of laws 13. Independence and decorrelation 14. conditioning 15. random vectors Part 3. Conditioning and Independence Appendices