Introduction to Probability

Introduction to Probability

Anderson, David F. (University of Wisconsin, Madison); Valko, Benedek (University of Wisconsin, Madison); Seppalainen, Timo (University of Wisconsin, Madison)

Cambridge University Press

11/2017

442

Dura

Inglês

9781108415859

15 a 20 dias

This textbook is an introduction to probability theory with the right balance between mathematical precision, probabilistic intuition, and concrete applications. It is intended for students with a calculus background, as well as for independent learners and readers. The material is covered precisely, while avoiding excessive technical details.
1. Experiments with random outcomes; 2. Conditional probability and independence; 3. Random variables; 4. Approximations of the binomial distribution; 5. Transforms and transformations; 6. Joint distribution of random variables; 7. Sums and symmetry; 8. Expectation and variance in the multivariate setting; 9. Tail bounds and limit theorems; 10. Conditional distribution; Appendix A. Things to know from calculus; Appendix B. Set notation and operations; Appendix C. Counting; Appendix D. Sums, products and series; Appendix E. Table of values for (x); Appendix F. Table of common probability distributions.
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