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Robustness of the Ewens sampling formula

Published online by Cambridge University Press:  14 July 2016

Paul Joyce*
Affiliation:
University of Idaho
*
Postal address: Department of Mathematics and Statistics, University of Idaho, Moscow, Idaho 83844, USA.

Abstract

Under the assumptions of the neutral infinite alleles model, K (the total number of alleles present in a sample) is sufficient for estimating θ (the mutation rate). This is a direct result of the Ewens sampling formula, which gives a consistent, asymptotically normal estimator for θ based on K. It is shown that the same estimator used to estimate θ under neutrality is consistent and asymptotically normal, even when the assumption of selective neutrality is violated.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1995 

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Footnotes

This research is supported by the National Science Foundation, DMS 92-07410.

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