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Importance sampling and the two-locus model with subdivided population structure
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Griffiths, Robert C., Jenkins, Paul and Song, Yun S. (2008) Importance sampling and the two-locus model with subdivided population structure. Advances in Applied Probability, Vol.40 (No.2). pp. 473-500. doi:10.1239/aap/1214950213 ISSN 0001-8678.
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Official URL: http://dx.doi.org/10.1239/aap/1214950213
Abstract
The diffusion-generator approximation technique developed by De Iorio and Griffiths (2004a) is a very useful method of constructing importance sampling proposal distributions. Being based on general mathematical principles, the method can be applied to various models in population genetics. In this paper we extend the technique to the neutral coalescent model with recombination, thus obtaining novel sampling distributions for the two-locus model. We consider the case with subdivided population structure, as well as the classic case with only a single population. In the latter case we also consider the importance sampling proposal distributions suggested by Fearnhead and Donnelly (2001), and show that their two-locus distributions generally differ from ours. In the case of the infinitely-many-alleles model, our approximate sampling distributions are shown to be generally closer to the true distributions than are Fearnhead and Donnelly’s
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||
Journal or Publication Title: | Advances in Applied Probability | ||||
Publisher: | Applied Probability Trust | ||||
ISSN: | 0001-8678 | ||||
Official Date: | 2008 | ||||
Dates: |
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Volume: | Vol.40 | ||||
Number: | No.2 | ||||
Page Range: | pp. 473-500 | ||||
DOI: | 10.1239/aap/1214950213 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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