Bayes theorem


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Related to Bayes theorem: conditional probability

Bayes the·o·rem

(bāyz),
the impacts of new data on the evidential merits of competing scientific hypotheses are compared by computing for each the product of the antecedent plausibility (the prior probability) and the likelihood of the current data given that hypothesis (the conditional probability) and rescaling them so that their total is unity (the rescaled values being posterior probabilities).
See also: diagnostic sensitivity, diagnostic specificity, predictive value.

Bayes the·o·rem

(bāyz thē'ŏr-ĕm)
A method of calculating statistical probability that combines a prior estimate of probability with statistics derived from subsequent events or experiments. Although it lacks mathematical rigor, it is often used to infer degree of risk in various medical settings.
Synonym(s): bayesian analysis.

Bayes,

Thomas, English mathematician, 1702-1761.
Bayes theorem - to determine the impact of new data on the evidential merits of competing scientific hypotheses.

Bayes theorem

a statistical means of including local general information, intuitive judgment, clinical skill as learned over a long period, and similar subjective influences, in the assessment of probability, e.g. in making a diagnosis. The formula relates, for example, the conditional probability P(D/S), of a disease (D) being present when a particular sign (S) is observed, to three other probabilities: the prevalence of the disease P(D), the frequency of the sign P(S), and the probability of the sign occurring for the disease P(SD).$${\rm Pr(D\vert S) = {Pr(S\vert D) \times Pr(D)\over Pr(S)}$$
References in periodicals archive ?
The data given in Tables 1 and 2 have corroborated that the transformed Bayes theorem may be used in the revised reliability analysis of existing bridge structures if their load effect levels were sufficiently high.
Because of the independence of the laboratories, using Bayes Theorem with Eqs.
In Bayes Theorem, the likelihood of observing such evidence if the hypothesis is true [p(E\H)] corresponds to the p-value if "observing such evidence" means "observing evidence as inconsistent with or even more inconsistent with the hypothesis as was observed in these data.
21 (1998) (applying Bayes Theorem to employment discrimination context); Jonathan J.
In accordance with Bayes theorem, the posterior distribution is proportional to the product of Eqs.
In proposing system the combination bayes theorem, clustering and ant colony algorithm provides long term load balancing and also find an optimal path to store the job to the data center.
In our proposed system combination bayes theorem, clustering, ant colony optimization techniques are used to achieve load balancing.
It is a organization method based on Bayes Theorem among an guess of liberty among predictors.
Deadlock avoidance is based on a set of routing rules connected with the maximal values of posterior probabilities computed from the Bayes theorems.