From GEM back to Dirichlet via Hoppe's Urn
ULRICH MARTIN HIRTH · Combinatorics Probability Computing · 1997
In generalisation of the beta law obtained under the GEM/Poisson–Dirichlet distribution in Hirth [12] we undertake here an analogous construction which results in the Dirichlet law. Our proof makes use of Hoppe's Pólya-like urn model in population genetics.