title: Analysis and rejection sampling of Wright-Fisher diffusion bridges.
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.
authors.affiliation: Department of Integrative Biology, University of California, 3060 Valley Life Sciences Bldg #3140, Berkeley, CA 94720-3140, USA. Electronic address: jgschraiber@berkeley.edu.
authors.forename: Joshua G
authors.initials: JG
authors.lastname: Schraiber
authors.forename: Robert C
authors.initials: RC
authors.lastname: Griffiths
authors.forename: Steven N
authors.initials: SN
authors.lastname: Evans
mesh_terms: D005828:Genetics, Population; D008962:Models, Theoretical
keywords: Bridge; Diffusion; Rejection sampling; Wright–Fisher