Definition of Bayes' theorem in English:
Bayes' theorem
Line breaks: Bayes' theoremPronunciation: /ˈbeɪz θɪərəm
/
noun
Statistics A theorem describing how the conditional probability of each of a set of possible causes for a given observed outcome can be computed from knowledge of the probability of each cause and the conditional probability of the outcome of each cause.More example sentences
 Following Bayes' theorem, the posterior distribution over the parameter space is proportional to the likelihood times the prior distribution.
 A follower of Clifford might object if there was no philosophical discussion of rival explanations or of the application here of Bayes' theorem in the theory of probability.
 Once these parameters have been estimated, Bayes' theorem is used to estimate the posterior probability that a given site came from the class of positively selected sites.
Derivatives

Bayesian
adjective
 More example sentences
 He introduced Bayesian hypothesis tests and Bayesian estimation.
 We propose a new method for approximate Bayesian statistical inference on the basis of summary statistics.
 From these Jaynes derives all of the Bayesian machinery for statistical inference.
Origin
mid 19th century: named after Thomas Bayes (1702–61), English mathematician.