Bayes' theorem


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Related to Bayes' theorem: conditional probability
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Words related to Bayes' theorem

(statistics) a theorem describing how the conditional probability of a set of possible causes for a given observed event can be computed from knowledge of the probability of each cause and the conditional probability of the outcome of each cause

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References in periodicals archive ?
Bayes' theorem was used to calculate the conditional probability of not being comfortable when within the acceptable thermal conditions.
Bayes' theorem lets us use this information to compute the "direct" probability of J.
The general Bayesian classifier is a kind of classification algorithm that is based on Bayes' theorem. The naive Bayes (NB) algorithm is a very simple, straightforward classification algorithm [14].
Thoughtful assessment (e.g., calculation of Bayes' theorem statistics) may verify or challenge initial quick impressions but can be difficult to achieve in fast-paced clinical care settings.
The chapter on probabilistic reasoning starts off well with a brief but informative discussion of Bayes' theorem, but does not pursue this very interesting subject or bring out its more curious aspects.
Given a class variable C and a dependent feature vector [x.sub.1] through [x.sub.n], the Bayes' theorem states:
The Naive Bayes classifier is based on Bayes' Theorem regarding dependent probabilities, which states that
Pastor Thomas Bayes (1702-1761) appears to have had little influence on mathematics outside of statistics where Bayes' Theorem has found wide application.
A naive Bayes classifier is a simple probabilistic classifier based on the application of Bayes' theorem with strong (naive) independence assumptions.
Abstract: Bayes' theorem to the rescue--why I hated stats before the revolution.
Part IF therefore concludes with an examination of such statistical refining methods in determining specific causation in medicinal product liability cases, including the use of Bayes' theorem to help us understand how statistical risks can be refined using personal risk factors.
The following methodologies of expert systems were observed: rule based, case based, model based, artificial neuron nets, fuzzy systems, Bayes' theorem, and other not further described algorithms or calculation tools (Figure 1).
A Naive Bayes classifier [22] is a simple probabilistic classifier based on applying Bayes' theorem with strong (naive) independence assumptions.
They describe how to be thorough when thinking about the possible causes of a patient's problem, estimate the probability of a disease, use Bayes' theorem to estimate the post-test probability of a disease, select diagnostic tests using the treatment-threshold probability, measure a patient's attitudes towards risks and benefits of a treatment, and choose among several risky treatment alternatives.
Classification algorithms that take advantage of Bayes' Theorem and prevalence statistics, dubbed naive Bayes classifiers, aim to accomplish this with readily available data.