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Textbook: Introduction to Mathematical Statistics, R. V. Hogg, J. W. McKean, and A. T. Craig. 8th Edition 2019 by Pearson Education.
Introduce various probability theories, principles, and methods of statistical analysis. Establish a complete statistical inference framework. The goal is to learn to make reasonable and logical inferences based on statistical methods.
1. Probability theory
2. Transformations and expectations
3. Common families of distributions
4. Multiple random variables
5. Properties of random sample
6. Likelihood principle and point estimation
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