Ordered sizes in exchangeable random partitions and their asymptotics
Ordered sizes in exchangeable random partitions and their asymptotics
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发表时间：
2013-06
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通讯作者：
S. Mano
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作者：
S. Mano
利用组合论的方法，得到了自然数可交换随机分拆有序大小的分布结果。生成函数的分析产生它们的渐近性。作为该方法的一个应用，我们讨论了可交换随机划分中的一个重要成员Ewens-Pitman随机划分的极值尺寸的渐近性。
Some distributional results on ordered sizes in exchangeable random partitions of a natural number are obtained by combinatorial arguments. Analysis of generating functions yields their asymptotics. As an application of the developed approach we discuss asymptotics of the extreme sizes in the Ewens-Pitman random partition, which is an important member of exchangeable random partitions.