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A stability property of the Ewens sampling formula

Published online by Cambridge University Press:  14 July 2016

Stanley Sawyer
Stanley Sawyer*
Affiliation:
Purdue University
*
∗ Permanent address: Department of Mathematics, Purdue University, W. Lafayette, IN 47907, U.S.A.
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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.

Keywords

SAMPLINGNEUTRAL SAMPLINGGAUSSIAN APPROXIMATIONALLELISMDELETERIOUS ALLELES
Type
Research Papers
Information
Journal of Applied Probability , Volume 20 , Issue 3 , September 1983 , pp. 449 - 459
Copyright
Copyright © Applied Probability Trust 1983 

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Footnotes

Partially supported by NSF Grant MCS82–02858.

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