Make the simplex integral equal one

Topic: Bayesian hypotheses and model comparison · more questions on this topic
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For the unrestricted 2\times3 table model, write the marginal likelihood as an integral over the five-dimensional simplex. Multiply and divide by the normalising constant of the resulting Dirichlet kernel, and hence recover the closed form without evaluating a multidimensional integral directly.

This exercise has no worked answer.