This text aims to provide a strong theoretical foundation balanced with numerous applied and realistic exercises and examples. For flexibility in course contents, advanced or optional topics such as extreme-value distributions, regression and linear models, and reliability and survival distributions are included. This edition has been revised to include more theoretical discussion to provide a solid grounding in theory while giving students an idea of how the subject appliues to the real world. The text has also been revised to allow for an earlier development of properties of random variables and their distributions. Special probability distributions are placed separately in Chapter 3.
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1. Probability 2. Random Variables and Their Distributions 3. Special Probability Distributions 4. Joint Distributions 5. Properties of Random Variables 6. Functions of Random Variables 7. Limiting Distributions 8. Statistics and Sampling Distributions 9. Point Estimation 10. Sufficiency and Completeness 11. Interval Estimation 12. Tests of Hypotheses 13. Contingency Tables and Goodness-of-Fit 14. Nonparametric Methods 15. Regression and Linear Models (Optional) 16. Reliability and Survival Distributions (Optional)
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