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Estimating the frequency of the oldest allele: a bayesian approach

Published online by Cambridge University Press:  01 July 2016

Paul Joyce
Paul Joyce*
Affiliation:
University of Southern California
*
∗ Postal address: Department of Mathematics University of Southern California, Los Angeles, CA 90089-1113, U.S.A.
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Abstract

In this paper we calculate posterior distributions associated with a version of the Poisson–Dirichlet distribution called the GEM. The GEM has been shown (by several authors) to be the limiting stationary distribution for allele frequencies listed in age order associated with the neutral infinite alleles model. In view of this result, we use our posterior distributions to calculate Bayes estimators for the frequency of the oldest allele given a sample.

Keywords

GEM DISTRIBUTIONINFINITE ALLELESREVERSIBILITYSIZED-BIASEDAGE-ORDEREDGENERALIZED-DIRICHLETPOSTERIOR DISTRIBUTIONBAYES ESTIMATOR

Information

Type
Research Article
Information
Advances in Applied Probability , Volume 23 , Issue 3 , September 1991 , pp. 456 - 475
Copyright
Copyright © Applied Probability Trust 1991 

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Footnotes

Supported in part by NSF grant DMS 90-05833.

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