Bayes' theorem

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Related to Bayes's Theorem: conditional probability

Bayes' theorem

[¦bāz ′thir·əm]
(mathematics)
A theorem stating that the probability of a hypothesis, given the original data and some new data, is proportional to the probability of the hypothesis, given the original data only, and the probability of the new data, given the original data and the hypothesis. Also known as inverse probability principle.
References in periodicals archive ?
Bayes's theorem, a well-known theorem in probability, allows interpretation of findings on the basis of the actual data by providing a way to compute conditional probabilities of events.
If D represents some data obtained to evaluate the truth of proposition A, then we can write Bayes's theorem in its simplest form as
Using a more general form of Bayes's Theorem, we then use the surname lists to update the prior probabilities of membership in each of the four race/ ethnic categories with the surname list results to produce efficient, updated posterior probabilities of membership in the four groups.