Eternal additive coalescents and certain bridges with exchangeable increments

Eternal additive coalescents and certain bridges with exchangeable increments
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永恒添加剂成膜助剂和某些具有可互换增量的桥接剂

DOI:
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发表时间:
2001
期刊:
影响因子:
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通讯作者:
J. Bertoin
J. Bertoin
中科院分区:
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文献类型:
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作者:
J. Bertoin

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Aldous 和 Pitman 使用通过记录某些不均匀连续随机树而导出的嵌套族随机森林研究了加性合并过程的渐近行为。在这里,我们提出了一种基于由具有可交换增量的某些桥引起的单位间隔划分的不同方法。通过聚合服务器系统的解释使分析变得简单。
Aldous and Pitman have studied the asymptotic behavior of the additive coalescent processes using a nested family random forests derived by logging certain inhomogeneous continuum random trees. Here we propose a different approach based on partitions of the unit interval induced by certain bridges with exchangeable increments. The analysis is made simple by an interpretation in terms of an aggregating server system.