Bayes' theorem

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Related to Bayesian updating: Bayesian analysis, Bayesian approach

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.

theorem

(the'o-rem) [Gr. theorema, principle arrived at by speculation]
A proposition that can be proved by use of logic, or by argument, from information previously accepted as being valid.

Bayes' theorem

See: Bayes' theorem.
References in periodicals archive ?
Consequently, the estimated posteriors can really only be used to assess whether voters satisfy the necessary condition for Bayesian updating that future changes in ranks are not predictable using current information.
This would cause the estimated posteriors to equal the observed posteriors, and the null of Bayesian updating would not be rejected.
i] is only indexed by i for clarity in the Bayesian updating formula below.
That is, these variables would have no effect on OVER, thus, the null hypothesis of Bayesian updating implies [[beta].
Discrimination, Bayesian updating of employer beliefs, and human capital accumulation.
We consider rounds in which use of the representative or conservative heuristic leads to a different choice than Bayesian updating would predict.
Table 2 shows the cut-points for the three most prominent rules: Bayesian updating, the representative heuristic, and the conservative heuristic.
Those who were allowed to purchase made decisions that were largely consistent with Bayesian updating.
In the game against nature, a notable difference between the actual updating process and the ideal Bayesian updating process is that people tend to underweight the impact of new evidence.
Note that the Bayesian updating process without strategic considerations is not naive in the game against nature.