Standard syllabus
Qualifying exam prep · Graduate · Statistics
Topics
Probability review
- Measure-theoretic probability essentials
- Distribution theory and transformations
- Limit theorems and convergence modes
- Conditional expectation problems
- Characteristic functions exercises
Mathematical statistics
- Sufficiency, completeness, and UMVU estimation
- MLE asymptotics and Fisher information
- Hypothesis testing: Neyman–Pearson constructions
- Exponential families and conjugate priors
- Decision theory short proofs
Linear models and inference
- Gauss–Markov and normal theory derivations
- ANOVA decomposition problems
- GLM and exponential family review
- Time-permitting: survival and asymptotics previews
- Exam strategy and timed problem sets
Pricing
Graduate-level rates are set on consultation. See the pricing page for K–12 and undergraduate rates.