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arXiv · 1306.3522

Analysis and rejection sampling of Wright-Fisher diffusion bridges

Joshua G. Schraiber·Robert C. Griffiths·Steven N. Evans
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Abstract

We investigate the properties of a Wright-Fisher diffusion process started from 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.

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Joshua G. Schraiber, Robert C. Griffiths, Steven N. Evans. 2013-06-14. Analysis and rejection sampling of Wright-Fisher diffusion bridges. https://doi.org/10.1016/j.tpb.2013.08.005

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