Characterizations of exchangeable partitions and random discrete distributions by deletion properties ∗

Abstract

We prove a long-standing conjecture which characterises the Ewens-Pitman twoparameter family of exchangeable random partitions, plus a short list of limit and exceptional cases, by the following property: for each n = 2, 3, . . ., if one of n individuals is chosen uniformly at random, independently of the random partition πn of these individuals into… (More)

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