| WEEK # | TOPICS | KEY DATES |
|---|---|---|
| Part 1: Introduction to Probability | ||
| 1 | Events and their Probability, Elementary Operations with Events, Total Probability Theorem, Independence, Bayes' Theorem | |
| 2-3 | Random Variables and Vectors, Discrete and Continuous Probability Distributions | |
| 4 | Functions of Random Variables and Derived Distributions | |
| 5-6 | Expectation of Random Variables and Functions of Random Variables Moments of Variables and Vectors | |
| 7 | Conditional Second Moment Analysis | |
| 8 | Selected Distribution Models: Normal, Lognormal, Extreme, Multivariate Normal Distributions | Quiz on part 1 (1.5 hours, in class, open books and notes) |
| Part 2: Introduction to System Reliability | ||
| 9 | Time-invariant Second-Moment Reliability Analysis and Time-Invariant Full-Distribution Reliability Analysis | |
| Part 3: Introduction to Statistics | ||
| 10 | Point Estimation of Distribution Parameters: Methods of Moments and Maximum Likelihood, Bayesian Analysis | |
| 11 | Simple and Multiple Linear Regression | Quiz on parts 2 and 3 (1.5 hours, in class, open books and notes) |