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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| 第一著者: | |
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| フォーマット: | 電子媒体 eBook |
| 言語: | 英語 |
| 出版事項: |
Minneapolis, Minnesota
John R. Baxter
2023.
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| シリーズ: | Open textbook library.
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| 主題: | |
| オンライン･アクセス: | Access online version |
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目次:
- 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