MP9 · Probability & statistics
A 20-module path through mp9 · probability & statistics, in study order from foundations to the frontier.
Modules
- Axioms of Probability
- Conditional Probability and Bayes' Theorem
- Random Variables and Probability Distributions
- Cumulative Distribution Functions and Change of Variables
- Expectation, Variance and Moments
- Moment-Generating and Characteristic Functions
- Joint, Marginal and Conditional Distributions
- Binomial and Bernoulli Distributions
- Poisson Distribution
- Gaussian (Normal) Distribution
- Multivariate Gaussian Distribution
- Central Limit Theorem
- Laws of Large Numbers and Convergence of Random Variables
- Error Analysis and Propagation of Uncertainty
- Point Estimation and Maximum Likelihood
- Confidence Intervals
- Hypothesis Testing and Significance
- Chi-Squared Distribution and Goodness of Fit
- Least Squares and Linear Regression
- Bayesian Inference and Parameter Estimation