Bayesian methods and modern statistics
Spring 2025
Schedule
| Week | Date | Topic | Reading | Notes | Assignment |
|---|---|---|---|---|---|
| 1 | Wed Jan 08 | NO CLASS | |||
| Thu Jan 09 | lab: welcome | 💻 | hello R | ||
| Fri Jan 10 | intro, history, notation | Ch. 2 | hw 0 | ||
| 2 | Wed Jan 15 | probability, exchangeability | Ch. 2 | 🗒 📝 | hw 1 |
| Thu Jan 16 | lab: MLE | 💻 | |||
| Fri Jan 17 | beta-binomial model | Ch. 3 | 🗒 📝 | ||
| 3 | Wed Jan 22 | Poisson-gamma model, exp families | Ch. 3 | 🗒 📝 | hw 2 |
| Thu Jan 23 | lab: exp families and transformations | 💻 | |||
| Fri Jan 24 | reliability (conf. intervals, hpd, Laplace approx.) | Ch. 3 | 🗒 📝 | ||
| 4 | Wed Jan 29 | intro to Monte Carlo | 📖 | 🗒 📝 | hw 3 |
| Thu Jan 30 | lab: mixture densities | 💻 | |||
| Fri Jan 31 | predictive checks and MC error | Ch. 4 | 🗒 📝 | ||
| 5 | Wed Feb 05 | the normal model | Ch. 5 | 🗒📝 | hw 4 |
| Thu Feb 06 | lab: normal data | 💻 | |||
| Fri Feb 07 | the normal model II | Ch. 5 | 📝 | ||
| 6 | Wed Feb 12 | estimators | Ch. 5 | 🗒📝 | |
| Thu Feb 13 | lab: estimators | 💻 | |||
| Fri Feb 14 | review | ||||
| 7 | Wed Feb 19 | Metropolis algorithm | Ch. 10 | 🗒 | |
| Thu Feb 20 | NO LAB | ||||
| Fri Feb 21 | Exam I | ||||
| 8 | Wed Feb 26 | finish Metropolis algo. | Ch. 6, 10 | hw 5 | |
| Thu Feb 27 | lab: Metropolis-Hastings and conf. bands | 💻 💻 | |||
| Fri Feb 28 | MCMC diagnostics | Ch. 6, 10 | 🗒📝 | ||
| 9 | Wed Mar 05 | Gibbs sampling | Ch. 6 | 🗒 | |
| Thu Mar 06 | lab: MCMC diagnostics | 💻 | |||
| Fri Mar 07 | multivariate normal | Ch. 7 | 🗒 | hw 6 | |
| 10 | Wed Mar 12 | NO CLASS | |||
| Thu Mar 13 | NO CLASS | ||||
| Fri Mar 14 | NO CLASS | ||||
| 11 | Wed Mar 19 | Bayesian regression I | Ch. 9 | 🗒 | hw 7 |
| Thu Mar 20 | lab: rstanarm | 💻 | |||
| Fri Mar 21 | Bayesian regression II | Ch. 9 | 🗒📝 | ||
| 12 | Wed Mar 26 | hierarchical modeling | Ch. 8 | 🗒📝 | |
| Thu Mar 27 | lab: probit regression | 💻 | |||
| Fri Mar 28 | review | ||||
| 13 | Wed Apr 02 | Exam II | |||
| Thu Apr 03 | NO LAB | ||||
| Fri Apr 04 | model averaging | Ch. 9 sec. 3 | 🗒 | ||
| 14 | Wed Apr 09 | Bayesian inverse problems | 📖 | 🗒 | hw 8 |
| Thu Apr 10 | lab: inverse problems | 💻 | |||
| Fri Apr 11 | Hamiltonian Monte Carlo | 📖 | 🗒 | ||
| 15 | Wed Apr 16 | priors | 🗒 | hw 9 | |
| Thu Apr 17 | review / office hours | ||||
| Fri Apr 18 | missing data | 📝.R | |||
| 16 | Wed Apr 23 | Practice for final |