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2.5.2 Bayes' Rule

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The derivation of Bayes’ rule is obtained from the property of conditional probability:




Bayes' Rule provides an update rule for probability distributions in response to observed information. Terminology:

 p(xi ) is referred to as the “prior distribution on X” in this context.

 p(xi ∣ yj ) is referred to as the “posterior distribution on X given Y.”

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