Introduction to Probability
This is an introduction to probability theory, designed for self-study. It covers the same topics as the one-semester introductory courses which I taught at the University of Minnesota, with some extra discussion for reading on your own. The reasons which underlie the rules of probability are emphas...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Minneapolis, Minnesota
John R. Baxter
2023.
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| Series: | Open textbook library.
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| Subjects: | |
| Online Access: | Access online version |
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Table of Contents:
- Contents
- Preface
- Probability and Events
- Assumptions for probability, and their consequences
- Models with continuous sample spaces
- Conditional probability
- Independence and its consequences
- Tricky little problems
- Independent sequences
- Counting
- Random variables
- Expected values, finite range case
- More properties of expected value
- Independent random variables, first applications
- Waiting times
- Random variables with countable range
- Exponential waiting times
- Moments and inequalities
- Poisson random variables
- Normal random variables and the Central Limit Theorem
- Appendices
- Bibliography
- Index