Analysis and rejection sampling of Wright–Fisher diffusion bridges

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

Theoretical Population Biology, 2013, vol. 89, issue C, 64-74

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.

Keywords: Diffusion; Wright–Fisher; Bridge; Rejection sampling (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:thpobi:v:89:y:2013:i:c:p:64-74

DOI: 10.1016/j.tpb.2013.08.005

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