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On a Class of Non-Regenerative Sampling Distributions

Published online by Cambridge University Press:  01 May 2007

MARTIN MÖHLE
MARTIN MÖHLE*
Affiliation:
Mathematical Institute, University of Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany (e-mail: martin.moehle@uni-tuebingen.de)
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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.

Type
Paper
Information
Combinatorics, Probability and Computing , Volume 16 , Issue 3 , May 2007 , pp. 435 - 444
Copyright
Copyright © Cambridge University Press 2006

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