We derive a family of approximate sampling distributions for the
symmetric overdominance model of population genetics.
The distributions are selective versions of
the Ewens Sampling Formula, which
gives sample likelihoods under a model of neutral evolution.
We draw on basic results for the general selection model
of Ethier and Kurtz, and use
mathematical tools well-suited for calculating expectations of
symmetric functions of Poisson--Dirichlet atoms.
We conclude by briefly examining a Human Leukocyte Antigen data set, in
light of a distribution conditional on the number of sample atoms.
Publié le : 2002-05-14
Classification:
Ewens Sampling Formula,
Poisson-Dirichlet distribution,
general selection model,
size-biased permutation,
symmetric overdominance selection,
Human Leukocyte Antigen (HLA) loci,
92D15,
62F10
@article{1026915619,
author = {Grote, Mark N. and Speed, Terence P.},
title = {Approximate Ewens formulae for symmetric overdominance selection},
journal = {Ann. Appl. Probab.},
volume = {12},
number = {1},
year = {2002},
pages = { 637-663},
language = {en},
url = {http://dml.mathdoc.fr/item/1026915619}
}
Grote, Mark N.; Speed, Terence P. Approximate Ewens formulae for symmetric overdominance selection. Ann. Appl. Probab., Tome 12 (2002) no. 1, pp. 637-663. http://gdmltest.u-ga.fr/item/1026915619/