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| A '''posterior probability distribution''' is a probability distribution that reflects some [[Analysis/ConditionalExpectations|conditional]] updating of a [[Statistics/PriorProbabilityDistribution|prior probability]]. | A '''posterior probability distribution''' is a probability distribution that reflects some [[Analysis/ConditionalExpectation|conditional]] updating of a [[Statistics/PriorProbabilityDistribution|prior probability]]. |
Posterior Probability Distribution
A posterior probability distribution is a probability distribution that reflects some conditional updating of a prior probability.
Description
The Bayesian workflow begins with an uncertainty term θ, which is a random variable distributed according to π(θ).
Given observations X, the uncertainty term θ is conditionally updated and the posterior distribution is notated as π|X(θ).