Author | Sinai, Yakov G. author |
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Title | Probability Theory [electronic resource] : An Introductory Course / by Yakov G. Sinai |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1992 |
Connect to | http://dx.doi.org/10.1007/978-3-662-02845-2 |
Descript | VIII, 140 p. 2 illus. online resource |
Lecture 1. Probability Spaces and Random Variables -- Lecture 2. Independent Identical Trials and the Law of Large Numbers -- Lecture 3. De Moivre-Laplace and Poisson Limit Theorems -- Lecture 4. Conditional Probability and Independence -- Lecture 5. Markov Chains -- Lecture 6. Random Walks on the Lattice ?d -- Lecture 7. Branching Processes -- Lecture 8. Conditional Probabilities and Expectations -- Lecture 9. Multivariate Normal Distributions -- Lecture 10. The Problem of Percolation -- Lecture 11. Distribution Functions, Lebesgue Integrals and Mathematical Expectation -- Lecture 12. General Definition of Independent Random Variables and Laws of Large Numbers -- Lecture 13. Weak Convergence of Probability Measures on the Line and Hellyโs Theorems -- Lecture 14. Characteristic Functions -- Lecture 15. Central Limit Theorem for Sums of Independent Random Variables -- Lecture 16. Probabilities of Large Deviations