Theory of Probability
Theory of Probability
Explorations and Applications
Venkatesh, Santosh S.
Cambridge University Press
11/2012
827
Dura
Inglês
9781107024472
1750
Descrição não disponível.
Part I. Elements: 1. Probability spaces; 2. Conditional probability; 3. A first look at independence; 4. Probability sieves; 5. Numbers play a game of chance; 6. The normal law; 7. Probabilities on the real line; 8. The Bernoulli schema; 9. The essence of randomness; 10. The coda of the normal; Part II. Foundations: 11. Distribution functions and measure; 12. Random variables; 13. Great expectations; 14. Variations on a theme of integration; 15. Laplace transforms; 16. The law of large numbers; 17. From inequalities to concentration; 18. Poisson approximation; 19. Convergence in law, selection theorems; 20. Normal approximation; Part III. Appendices: 21. Sequences, functions, spaces.
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Part I. Elements: 1. Probability spaces; 2. Conditional probability; 3. A first look at independence; 4. Probability sieves; 5. Numbers play a game of chance; 6. The normal law; 7. Probabilities on the real line; 8. The Bernoulli schema; 9. The essence of randomness; 10. The coda of the normal; Part II. Foundations: 11. Distribution functions and measure; 12. Random variables; 13. Great expectations; 14. Variations on a theme of integration; 15. Laplace transforms; 16. The law of large numbers; 17. From inequalities to concentration; 18. Poisson approximation; 19. Convergence in law, selection theorems; 20. Normal approximation; Part III. Appendices: 21. Sequences, functions, spaces.
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