عنوان

Exercise Manual in Probability Theory

(Number (ISBN

9400929277

(Number (ISBN

9789400929272

Number

b592990

Title Proper

Exercise Manual in Probability Theory

General Material Designation

[Book]

First Statement of Responsibility

by J. Stoyanov, I. Mirazchiiski, Z. Ignatov, M. Tanushev ; edited by K. Kocherlakota.

Place of Publication, Distribution, etc.

Dordrecht

Name of Publisher, Distributor, etc.

Springer Netherlands

Date of Publication, Distribution, etc.

1988

Specific Material Designation and Extent of Item

(368 pages)

Series Title

Mathematics and Its Applications, East European Series,, 32.

Text of Note

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.

Statistics.

by J. Stoyanov, I. Mirazchiiski, Z. Ignatov, M. Tanushev ; edited by K. Kocherlakota.

I Mirazchiiski

Iordan Stoianov

K Kocherlakota

M Tanushev

Z Ignatov

Electronic name

[Book]

Y