Hoppe F M
J Math Biol. 1987;25(2):123-59. doi: 10.1007/BF00276386.
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.
研究了一种在群体遗传学中产生尤恩斯抽样公式的类波利亚瓮的行为。建立了与沃特森和金曼工作的联系以及与泊松 - 狄利克雷分布的联系。证明了瓮中出现新类型的顺序与无穷多个等位基因扩散模型的年龄分布平行，并探讨了这一性质的后果。最后，将瓮过程与带有突变的金曼合并过程相关联，为这种平行关系提供了严格的基础。
