Bayesian inference uses aspects of the scientific method, which involves collecting evidence that is meant to be consistent or inconsistent with a given hypothesis. As evidence accumulates, the degree of belief in a hypothesis ought to change.
http://en.wikipedia.org/wiki/Bayesian_inference
P(H | E) is called the posterior probability of H given E.
(H = hypothesis, E = evidence) so given evidence E, what are the chances that hypothesis H is true? I've seen Bayesian satistics used a lot in bioinformatics, from homology modelling to protein-protein interaction predictions.
Thomas Bayes
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