Recursive partition structures

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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.
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)

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Probability, 60G09, 60C05 (Primary)

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http://salesiana.dossiersoluciones.com/handle/123456789/124729

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0510305
 http://arxiv.org/abs/math/0510305
 Annals of Probability 2006, Vol. 34, No. 6, 2203-2218
 doi:10.1214/009117906000000584

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arXiv