Bayes theorem


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Related to Bayes theorem: conditional probability

Bayes’ theorem

a theorem stating the probability of an event occurring if another event has occurred. Bayesian statistics is concerned with the revision of opinion in the light of new information, i.e. hypotheses are set up, tested, and revised in the light of the data collected. On each successive occasion there emerges a different probability of the hypothesis being correct – ‘prior opinions are changed by data, through the operation of Bayes’ theorem, to yield posterior opinions’ (Phillips, 1973).
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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.
Among his topics are conditional probability and the Bayes theorem, discrete and continuous random variables, normal distribution, conjugate analysis, and multi-party problems.