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arxiv: math/0309041 · v1 · pith:SEM7JRH2new · submitted 2003-09-02 · 🧮 math.PR

Random probability measures via Polya sequences: revisiting the Blackwell-MacQueen urn scheme

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keywords polyablackwell-macqueenclassschemesconditionsdevelopeddimensionaldirichlet
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Sufficient conditions are developed for a class of generalized Polya urn schemes ensuring exchangeability. The extended class includes the Blackwell-MacQueen Polya urn and the urn schemes for the two-parameter Poisson-Dirichlet process and finite dimensional Dirichlet priors among others.

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