- Weekly Notes
- Week 01 Notes: Descriptive stats (mean/median/SD, plots)
- Week 02 Notes: Probability basics (Kolmogorov, combinatorial/geometric, independence, Bayes)
- Week 03 Notes: Random vars (pmf/cdf, discrete families, joint/marginal/conditional)
- Week 04 Notes: Expectation/variance (moments, covariance, Markov/Chebyshev)
- Week 05 Notes: Continuous r.v.s (multinomial/binomial review, pdf/cdf link, uniform, normal)
- Week 06 Notes: Hypergeometric, Gamma/Exp/Cauchy, transforms of r.v.s
- Week 07 Notes: Poisson/Poisson process, continuous joint pdfs, conditional pdfs, transformations
- Week 08: Midterm week (no new content)
- Week 09 Notes: Multivariate normal basics, chi-squared, convolution, inversion/rejection sampling
- Week 10 Notes: Gamma sampling, couplings, building Uni/Normal, optimal transport intro
- Week 11 Notes: WLLN, Bernstein vs Chebyshev, CLT applications
- Week 12 Notes: Estimation intro (statistics, confidence intervals, point estimators, unbiasedness)
- Week 13 Notes: UMVU, risk, Cauchy caveat, sample median asymptotics
- Week 14 Notes: Estimation methods (moments, MLE), hypothesis testing setup (Type I/II, critical regions)
- Week 15 Notes: Hypothesis testing II (power, unbiased/consistent tests)
- Formulas
- Distributions
- Test 1 Cheat Sheet