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A Stability Property of the Ewens Sampling Formula

Stanley Sawyer
Journal of Applied Probability
Vol. 20, No. 3 (Sep., 1983), pp. 449-459
DOI: 10.2307/3213883
Stable URL: http://www.jstor.org/stable/3213883
Page Count: 11
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A Stability Property of the Ewens Sampling Formula
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Abstract

An error bound for convergence to the Ewens sampling formula is given where the population size or mutation rate may vary from generation to generation, or the population is not yet at equilibrium. An application is given to a model of Hartl and Campbell about selectively-equivalent subtypes within a class of deleterious alleles, and a theorem is proven showing that the size of the deleterious class stays within bounds sufficient to apply the first result. Generalizations are discussed.

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