Course information and materials
Course information
This is a comprehensive and rigorous course for undergraduate-level introduction to probability and statistics.
Weekly Classes
| Week | Description | Review |
|---|---|---|
| Week 1 | Visual interpretation of data and summary statistics. | Notes |
| Week 2 | Set theory, axioms of probability, combination & permutation. | Notes |
| Week 3 | Conditional probability, laws in probability, Bayes' Theorem. | Notes |
| Week 4 | Random variables, expectation and variance. | Notes |
| Week 5 | Moment generating function. | Notes |
| Week 6 | Continuous random variables. | Notes |
| Week 7 | Common discrete probability distributions. | Notes |
| Week 8 | Common continuous probability distributions. | Notes |
| Week 9 | Distributions of several random variables. | Notes |
| Week 10 | Operations on several random variables. | Notes |
| Week 11 | Sampling distributions. | Notes |
| Week 12 | Common sampling distributions. | Notes |
| Week 13 | Methods for point estimation. | Notes |
| Week 14 | Estimation by Least Squares and Maximum Likelihood. | Notes |
| Week 15 | Fisher Information and interval estimation. | Notes |
| Week 16 | Hypothesis Testing with single sample. | Notes |
| Week 17 | Hypothesis Testing with two samples. | Notes |
| Week 18 | Analysis of variance (ANOVA). | Notes |
| Week 19 | Simple Linear Regression I. | Notes |
| Week 20 | Simple Linear Regression II. | Notes |