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" Exercise Manual in Probability Theory "
by J. Stoyanov, I. Mirazchiiski, Z. Ignatov, M. Tanushev ; edited by K. Kocherlakota.
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BL
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| Record Number
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772996
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b592990
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| Main Entry
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by J. Stoyanov, I. Mirazchiiski, Z. Ignatov, M. Tanushev ; edited by K. Kocherlakota.
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| Title & Author
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Exercise Manual in Probability Theory\ by J. Stoyanov, I. Mirazchiiski, Z. Ignatov, M. Tanushev ; edited by K. Kocherlakota.
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| Publication Statement
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Dordrecht : Springer Netherlands, 1988
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| Series Statement
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Mathematics and Its Applications, East European Series,, 32.
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(368 pages)
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| ISBN
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9400929277
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: 9789400929272
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| Contents
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1. Elementary Probabilities.- 1. Combinatorics.- 2. Events and Relations among Them.- 3. Classical Definition of Probability.- 4. Conditional Probability. Independence of Events.- 5. Probability of a Sum of Events. Formula for Total Probability. Bayes' Formula.- 6. Urn Models. Polya Urn Model.- 7. Geometric Probabilty.- 8. Bernoulli Trials. Binomoal and Multinomial Distributions.- 9. Discrete Random Variables and Their Characteristics.- 10. Normal and Poisson Approximations for the Binomial Distribution.- 2. Probability Spaces and Random Variables.- 11. General Definition of Probability and ?-Algebra of Events.- 12. Random Variables and Integration.- 13. Conditional Probability, Independence and Martingales.- 14. Product of Measurable Spaces and Probabilities on Them.- 3. Characteristics of Random Variables.- 15. Distribution Function.- 16. Multivarite Distributions and Functions of Random Variables.- 17. Expectation, Variance and Moments of Higher Order.- 18. Generating Functions and Characteristic Functions.- 19. Infinitely Divisible and Stable Distributions.- 20. Conditional Distributions and Conditional Expectation.- 21. Inequalities for Random Variables.- 4. Limit Theorems.- 22. Types of Convergence for Sequences of Random Variables.- 23. Laws of Large Numbers.- 24. Central Limit Theorem and Related Topics.- Solutions, Hints, and Answers.- Table 1 (Normal distribution).- Table 2 (Poisson distribution).- References.
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Statistics.
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I Mirazchiiski
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Iordan Stoianov
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K Kocherlakota
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M Tanushev
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Z Ignatov
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