THE SAMPLING THEORY OF NEUTRAL ALLELES AND AN URN MODEL IN POPULATION-GENETICS
THE SAMPLING THEORY OF NEUTRAL ALLELES AND AN URN MODEL IN POPULATION-GENETICS
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DOI：
10.1007/bf00276386
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发表时间：
1987-01-01
影响因子：
1.9
通讯作者：
HOPPE, FM
中科院分区：
文献类型：
--
作者：
HOPPE, FM
研究了生成群体遗传学中尤文斯抽样公式的类似 Pólya 瓮的行为。与沃特森和金曼的工作以及泊松-狄利克雷分布建立了联系。瓮中新类型出现的顺序被证明与无限多个等位基因扩散模型的年龄分布平行，并探讨了这一特性的后果。最后，瓮过程与金曼突变合并相关，为这种平行提供了严格的基础。
The behaviour of a Pólya-like urn which generates Ewens' sampling formula in population genetics is investigated. Connections are made with work of Watterson and Kingman and to the Poisson-Dirichlet distribution. The order in which novel types occur in the urn is shown to parallel the age distribution of the infinitely many alleles diffusion model and consequences of this property are explored. Finally the urn process is related to Kingman's coalescent with mutation to provide a rigorous basis for this parallel.