Analysis and rejection sampling of Wright-Fisher diffusion bridges

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.

25 pages, 3 figures, 1 table

References in corpus (4)

• Exact simulation of diffusions
• Identifying Signatures of Selection in Genetic Time Series
• An approximate sampling formula under genetic hitchhiking
• An explicit transition density expansion for a multi-allelic Wright-Fisher diffusion with general diploid selection

Cited by in corpus (3)

• Exact simulation of the Wright-Fisher diffusion
• A path integral formulation of the Wright-Fisher process with genic selection
• The Rescaled Polya Urn and the Wright-Fisher process with mutation