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Analysis and rejection sampling of Wright–Fisher diffusion bridges

Author

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  • Schraiber, Joshua G.
  • Griffiths, Robert C.
  • Evans, Steven N.

Abstract

We investigate the properties of a Wright–Fisher diffusion process starting at frequency x at time 0 and conditioned to be at frequency y at time T. Such a process is called a bridge. Bridges arise naturally in the analysis of selection acting on standing variation and in the inference of selection from allele frequency time series. We establish a number of results about the distribution of neutral Wright–Fisher bridges and develop a novel rejection-sampling scheme for bridges under selection that we use to study their behavior.

Suggested Citation

  • Schraiber, Joshua G. & Griffiths, Robert C. & Evans, Steven N., 2013. "Analysis and rejection sampling of Wright–Fisher diffusion bridges," Theoretical Population Biology, Elsevier, vol. 89(C), pages 64-74.
    • Handle: RePEc:eee:thpobi:v:89:y:2013:i:c:p:64-74
    DOI: 10.1016/j.tpb.2013.08.005
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    Cited by:

    1. Schraiber, Joshua G., 2014. "A path integral formulation of the Wright–Fisher process with genic selection," Theoretical Population Biology, Elsevier, vol. 92(C), pages 30-35.
    2. Griffiths, Robert C. & Jenkins, Paul A. & Spanò, Dario, 2018. "Wright–Fisher diffusion bridges," Theoretical Population Biology, Elsevier, vol. 122(C), pages 67-77.
    3. Thierry E. Huillet, 2016. "Random walk Green kernels in the neutral Moran model conditioned on survivors at a random time to origin," Mathematical Population Studies, Taylor & Francis Journals, vol. 23(3), pages 164-200, July.

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