On a Class of Non-Regenerative Sampling Distributions

MARTIN MÖHLE

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Source: Crossref

Published: May 1, 2007

DOI: 10.1017/s0963548306008212

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Source abstract

We show that the sampling formula induced from a Λ-coalescent process with multiple collisions is regenerative if and only if the measure Λ is either concentrated in 0 (Kingman case) or concentrated in 1 (star-shaped case). The Ewens sampling formula is the only sampling formula in this class which also belongs to Pitman's two-parameter family of sampling distributions.

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