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Mathematical statistics with applications
Contents:
1. What Is Statistics?
2. Probability.
3. Discrete Random Variables and Their Probability Distributions.
4. Continuous Random Variables and Their Probability Distributions.
5. Multivariate Probability Distributions.
6. Functions of Random Variables.
7. Sampling Distributions and the Central Limit Theorem.
8. Estimation.
9. Properties of Point Estimators and Methods of Estimation.
10. Hypothesis Testing.
11. Linear Models and Estimation by Least Squares.
12. Considerations in Designing Experiments.
13. The Analysis of Variance.
14. Analysis of Categorical Data.
15. Nonparametric Statistics.
16. Introduction to Bayesian Methods for Inference
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