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