Two-parameter Poisson-Dirichlet measures and reversible exchangeable fragmentation-coalescence processes

被引：7

作者：

Bertoin, Jean ^{[1
,2
]}

机构：

[1] Univ Paris 06, Probabil Lab, F-75005 Paris, France

[2] Ecole Normale Super, DMA, F-75005 Paris, France

来源：

COMBINATORICS PROBABILITY & COMPUTING | 2008年 / 17卷 / 03期

关键词：

D O I：

10.1017/S0963548307008784

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We show that for 0 < alpha < 1 and 0 > -alpha, the Poisson-Dirichlet distribution with parameter (alpha, theta) is the unique reversible distribution of a rather natural fragmentation-coalescence process. This completes earlier results in the literature for certain split-and-merge transformations and the parameter alpha = 0.

引用

页码：329 / 337

页数：9

共 32 条

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