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Math & Statistics

Bayesian Inference

Also called: Bayesian statistics, prior and posterior, Bayesian updating

Bayesian inference treats unknown parameters as having probability distributions, starting from a prior and updating to a posterior as data arrives. It produces statements people actually want — 'a 90% chance the parameter lies here' — which frequentist confidence intervals technically do not. The trade-offs are choosing a defensible prior and the computational cost, which is why the approach only became practical with modern sampling methods.

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