A first look at rigorous probability theory/ Jeffrey S. Rosenthal.
Publication details: Singapore: River Edge, NJ: World Scientific, c2000.Description: xiv, 177 p.; 22 cmISBN:- 9810243227 (pbk.)
- 9810243030
- 519.2 R815f
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Castorina Estantes Abertas (Open Shelves) | Livros (Books) | 519.2 R815f 2000 IMPA (Browse shelf(Opens below)) | 1 | Available | 39063000605017 |
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| 519.2 R737i 1976 IMPA An introduction to probability theory and mathematical statistics/ | 519.2 R759c 1986 IMPA Counterexamples in probability and statistics/ | 519.2 R814f 1981 IMPA Foundations and applications of inductive probability/ | 519.2 R815f 2000 IMPA A first look at rigorous probability theory/ | 519.2 R823f 1988 IMPA A first course in probability/ | 519.2 R826i 1972 IMPA Introduction to probability models/ | 519.2 R826i 1972 IMPA Introduction to probability models/ |
Includes bibliographical references (p. 168-170) and index.
1. The need for measure theory -- 2. Probability triples -- 3. Further probabilistic foundations -- 4. Expected values -- 5. Inequalities and laws of large numbers -- 6. Distributions of random variables -- 7. Stochastic processes and gambling games -- 8. Discrete Markov chains -- 9. Some further probability results -- 10. Weak convergence -- 11. Characteristic functions -- 12. Decomposition of probability laws -- 13. Conditional probability and expectation -- 14. Martingales -- 15. Introduction to other stochastic processes -- Appendix. Mathematical Background .
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