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Tuesday, September 07, 2010 1:53:24 PM
Bayesian inference uses a numerical estimate of the degree of confidence in a hypothesis before any evidence has been observed, and then it calculates a numerical estimate of the degree of confidence in the hypothesis after a set of evidence has been observed. (This process is repeated whenever additional evidence is obtained.) Bayesian inference usually relies on degrees of belief, or subjective probabilities, in the induction process, and it does not necessarily claim to provide an objective method of induction. Nonetheless, some Bayesian statisticians think that probabilities can have an objective value, and therefore Bayesian inference can provide an objective method of induction. See scientific method.
Bayes' theorem modifies probabilities, given new pieces of evidence, in the following way:
http://en.wikipedia.org/wiki/Bayesian_inference
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