| SES # | TOPICS |
|---|---|
Probability distributions and random variables | |
| I. Probability | |
| 1 | Sets and events (PDF) |
| 2 | Probabilities and counting rules (PDF) |
| 3 | Conditional probability and independence (PDF) |
| II. Random variables and distribution functions | |
| 4 | Bayes theorem and random variables (PDF) |
| 5 | Discrete and continuous random variables (PDF) |
| 6 | Probability distribution functions (PDFs), cumulative distribution functions (CDFs), joint distribution of 2 or more random variables (PDF) |
| 7 | Joint and marginal distributions (PDF) |
| 8 | Review (PDF) |
Expectations and transformations of random variables | |
| III. Transformations of random variables | |
| 9 | Functions of random variables (PDF) |
| 10 | Functions of several random variables (PDF 1) (PDF 2) |
| IV. Expectations and conditional distributions | |
| 11 | Order statistics and expectations (PDF) |
| 12 | Median, quantiles, and variance (PDF) |
| 13 | Covariance and conditional expectations (PDF) |
| V. Special distributions | |
| 14 | Conditional expectations and special distributions (PDF) |
| VI. Law of large numbers and central limit theorems | |
| 15 | Law of large numbers (PDF) |
| 16 | Review (PDF) |
Estimation and hypothesis tests | |
| VII. Estimation methods and properties | |
| 17 | Central limit theorem, estimators, bias, and consistency (PDF) |
| 18 | Constructing estimators (PDF) |
| VIII. Confidence intervals | |
| 19 | Confidence intervals (PDF) |
| 20 | Confidence intervals (cont.) (PDF) |
| IX. Hypothesis testing | |
| 21 | Hypothesis tests (PDF) |
| 22 | Hypothesis tests (cont.) (PDF) |
| 23 | Hypothesis tests (cont.) (PDF) |
| 24 | Review (PDF) |
