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Bayes rule

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Bayes rule [′bāz ‚rül]
(statistics)
The rule that the probabilityP(Ei|A) of some eventEi, given that another eventAhas been observed, isP(Ei)P(A|Ei)/P(A), whereP(Ei) is the prior probability ofEi, determined either objectively or subjectively, andP(A), the probability ofA, is given by the sum over all possible eventsEjof the quantityP(Ej)P(A|Ej).
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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).
An overview of the EtsaTrans machine translation system: compilation ... by Ehlers, L.; Hanekom, G. v.d.M. / Literator: Journal of Literary Criticism, comparative linguistics and literary studies
] is estimated, the posterior distribution of [theta] can be obtained by using the Bayes rule, p([theta]|y, [?
Using the empirical Bayes method to estimate and evaluate bycatch ... by Kimura, Daniel K. / Fishery Bulletin
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.
Probability, decision theory, and a curricular approach to developing ... by Wagner, Paul A. / Journal of Thought
 
 
 
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