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On the distribution of points in a poisson dirichlet process

Published online by Cambridge University Press:  14 July 2016

R. C. Griffiths
R. C. Griffiths*
Affiliation:
Monash University
*
∗Postal address: Mathematics Department, Monash University, Clayton 3168, Victoria, Australia.
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Abstract

A probability density function important in the Poisson Dirichlet process of population genetics is studied. An accurate computational algorithm is given for this density and for the marginal distributions of the points in the Poisson Dirichlet process. The distribution of the maximal point of the process is tabulated. Rational polynomial approximations in θ, the mutation parameter, are found for the expected values of the first three maximal points.

Keywords

INFINITELY-MANY-ALLELES MODELPOPULATION GENETICS
Type
Research Papers
Information
Journal of Applied Probability , Volume 25 , Issue 2 , June 1988 , pp. 336 - 345
Copyright
Copyright © Applied Probability Trust 1988 

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