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BRANCH OVERVIEW
Probability
Randomness, conditioning, and limiting behavior.
← All branches · Each sheet includes definitions, theorems, applications, and exercises with hints and worked solutions.
Probability
Randomness, conditioning, and limiting behavior.
- Events, conditioning & BayesUpdate probabilities by restricting the sample space and renormalizing.
- Random variables & momentsA distribution describes a random quantity; moments summarize selected features.
- LLN, CLT & concentrationUnderstand what averaging guarantees—and how much data a guarantee needs.
- Modes of convergenceDistinguish pathwise behavior, small error probabilities, average error, and convergence of laws.
- Conditional expectationAverage using the information available; least squares and conditioning are versions of the same projection idea.