A Pólya urn model and the coalescent
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In recent papers by Hoppe and Donnelly it has been shown that a Pólya urn model generating the Ewens sampling formula (population genetics) parallels a construction of Kingman using a Poisson–Dirichlet ‘paintbox'. Even the jump chain of Kingman's n-coalescent can be constructed using the urn. The properties of a certain process based on the coalescent also are derived. This process was introduced by Hoppe.
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2012 ◽
Vol 142
(1)
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pp. 276-288
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1997 ◽
Vol 34
(02)
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pp. 426-435
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2005 ◽
Vol 57
(1)
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pp. 49-59
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