Topics
32 topics across 8 tracks — published topics are linked, the rest are coming soon.
Foundations of Probability
Kolmogorov axioms, conditional probability, random variables, expectation
Core Distributions & Families
Discrete and continuous distributions, exponential families, multivariate distributions
Convergence & Limit Theorems
Modes of convergence, law of large numbers, central limit theorem, tail bounds
Statistical Estimation
Bias-variance, maximum likelihood, method of moments, sufficiency
Hypothesis Testing & Confidence
Neyman-Pearson paradigm, likelihood ratio tests, confidence intervals, multiple testing
Regression & Linear Models
Least squares, generalized linear models, regularization, model selection
Bayesian Statistics
Prior selection, MCMC computation, model comparison, hierarchical models
High-Dimensional & Nonparametric
Order statistics, kernel density estimation, bootstrap, empirical processes
Time-Series & State-Space Methods
Hidden Markov models, state-space inference, and the foundations of time-series statistics