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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