内容説明
Probability has applications in many areas of modern science, not to mention in our daily life. Its importance as a mathematical discipline cannot be overrated, and it is a fascinating and surprising topic in its own right. This engaging textbook with its easy-to-follow writing style provides a comprehensive yet concise introduction to the subject. It covers all of the standard material for undergraduate and first-year-graduate-level courses as well as many topics that are usually not found in standard texts, such as Bayesian inference, Markov chain Monte Carlo simulation, and Chernoff bounds.
目次
- 1. Foundations of probability theory
- 2. Conditional probability
- 3. Discrete random variables
- 4. Continuous random variables
- 5. Jointly distributed random variables
- 6. Multivariate normal distribution
- 7. Conditioning by random variables
- 8. Generating functions
- 9. Additional topics in probability
- 10. Discrete-time Markov chains
- 11. Continuous-time Markov chains.
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