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∑MathAdvanced

Free Probability Theory

Free probability studies "random variables" that do not commute, where independence is replaced by freeness and noncrossing combinatorics replaces classical partitions.

#free probability#freeness#r-transform+11
∑MathIntermediate

Expectation, Variance & Moments

Expectation is the long-run average value of a random variable and acts like the balance point of its distribution.

#expectation
Advanced
Filtering by:
#moments
#variance
#moments
+12
📚TheoryIntermediate

Probability Distributions

Probability distributions describe how random outcomes are spread across possible values and let us compute probabilities, expectations, and uncertainties.

#probability distributions#pmf#pdf+12