Recursive partition structures

Details Recursive partition structures Recursive partition structures

2005-10-14

arxiv.org/abs/math/0510305v2

Annals of Probability 2006, Vol. 34, No. 6, 2203-2218

Mathematics

Probability

Published at http://dx.doi.org/10.1214/009117906000000584 in the Annals of Probability (http://www.imstat.org/aop/) by the Ins

Scientific paper

10.1214/009117906000000584

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.

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