Bayesian model evidence (source code)

= Bayesian model evidence
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{title2=$\mathcal Z$}
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= Prior predictive distribution
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= Bayesian evidence
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= Marginal likelihood
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The Bayesian model evidence, also called the marginal likelihood, is
$$
\mathcal Z=\int L(\theta)\pi(\theta)\,d\theta.
$$
It normalizes the posterior and averages the likelihood over the prior.