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November, 1991 On the Functional Central Limit Theorem for the Ewens Sampling Formula
Peter Donnelly, Thomas G. Kurtz, Simon Tavare
Ann. Appl. Probab. 1(4): 539-545 (November, 1991). DOI: 10.1214/aoap/1177005837


The Ewens sampling formula arises in population genetics and the study of random permutations as a probability distribution on the set of partitions (by allelic type in a sample, or according to cycle structure, respectively) of the integer $n$ for each $n$. It may be embedded naturally in the familiar linear birth process with immigration. One consequence of this is another proof of the functional central limit theorem for the Ewens sampling formula.


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Peter Donnelly. Thomas G. Kurtz. Simon Tavare. "On the Functional Central Limit Theorem for the Ewens Sampling Formula." Ann. Appl. Probab. 1 (4) 539 - 545, November, 1991.


Published: November, 1991
First available in Project Euclid: 19 April 2007

zbMATH: 0747.60013
MathSciNet: MR1129773
Digital Object Identifier: 10.1214/aoap/1177005837

Primary: 60C05
Secondary: 60F17 , 60J85 , 92D10

Keywords: Brownian motion , Random partitions , Random permutations

Rights: Copyright © 1991 Institute of Mathematical Statistics


Vol.1 • No. 4 • November, 1991
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