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
收藏
页码：329 / 337
页数：9
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