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Bayes' theorem
(redirected from Bayes rule)

   Also found in: Dictionary/thesaurus, Encyclopedia, Wikipedia 0.01 sec.
Bayes' theorem
[bāz′]
Etymology: Thomas Bayes, British mathematician, 1702-1761
a mathematic statement of the relationships of test sensitivity, specificity, and the predictive value of a positive test result. The predictive value of the test is the number that is useful to the clinician. A positive result demonstrates the conditional probability of the presence of a disease.


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The Bayes rule is the mathematical basis of the "noisy channel model", which has been applied to problems like speech recognition, optical character recognition, MT and spelling correction (Fry, 2007:11).
] is estimated, the posterior distribution of [theta] can be obtained by using the Bayes rule, p([theta]|y, [?
See Appendix B for Bayes' seven definitions that determine the inevitability of the calculation below) Recalling that E is a statement of some evidentiary support Bayes rule proposes: (28) Pr(H/E) = [Pr(H) Pr(E/H)/Pr(H) Pr(E/H) + Pr(~H) Pr(E/~H) In this way, Bayes is able to exploit a mathematical law that utilizes the inversion of a probability.
 
 
 
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