Unit notes
The units below are the teaching spine of the course:
- Week 0 — Readiness review from Mathematical Statistics I
- Week 1 — Statistical decisions, actions, loss, and risk
- Week 2 — Tests as decision rules and the Neyman-Pearson lemma
- Week 3 — Uniformly most powerful tests and monotone likelihood ratios
- Week 4 — Confidence-test duality, pivots, and exact procedures
- Week 5 — Likelihood-ratio, score, and Wald procedures
- Week 6 — Nuisance parameters, profiling, and local alternatives
- Week 7 — First-half synthesis and a calibration study
- Week 8 — Normal linear models, projections, and quadratic forms
- Week 9 — Multiplicity, multiple comparisons, and selective inference
- Week 10 — Randomization, permutation, and exact conditional inference
- Week 11 — Bootstrap, jackknife, and resampling calibration
- Week 12 — Distribution-free inference and rank procedures
- Week 13 — Robust inference, influence, and M-estimation
- Week 14 — Bayes rules, admissibility, minimaxity, and shrinkage
- Week 15 — Comparative inference synthesis and the bridge onward