English: Bayes rule for Gaussians. For the prior p(x) (blue) m0=20, λ0=1 and the likelihood p(y∣x) (red) mD=25 and λD=3 , the posterior p(x∣y) (magenta) shows the posterior distribution with m=23.75 and λ=4 . The posterior is closer to the likelihood than the prior because the likelihood has higher precision. Bayes rule for Gaussians has been used to explain many behaviours from sensory integration to collective decision making.
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William Penny. "Bayesian Models of Brain and Behaviour", ISRN Biomathematics doi:10.5402/2012/785791
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