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Robustness of the Ewens sampling formula

Part of: Limit theorems Stochastic processes Parametric inference

Published online by Cambridge University Press:  14 July 2016

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

Keywords

INFINITE ALLELES MODELEXCHANGEABILITYABSOLUTE CONTINUITYTAIL SIGMA FIELDSRESIDUAL ALLOCATION MODELS

MSC classification

Primary: 62F05: Asymptotic properties of tests
Secondary: 60G42: Martingales with discrete parameter 60F15: Strong theorems
Type
Research Papers
Information
Journal of Applied Probability , Volume 32 , Issue 3 , September 1995 , pp. 609 - 622
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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