Alexander V. Gnedin, Yuri Yakubovich
Published 2005-10-14, updated 2007-02-28Version 2
A class of random discrete distributions $P$ is introduced by means of a recursive splitting of unity. Assuming supercritical branching, we show that for partitions induced by sampling from such $P$ a power growth of the number of blocks is typical. Some known and some new partition structures appear when $P$ is induced by a Dirichlet splitting.
Comments: Published at http://dx.doi.org/10.1214/009117906000000584 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Journal: Annals of Probability 2006, Vol. 34, No. 6, 2203-2218
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