Analysis and rejection sampling of Wright-Fisher diffusion bridges
Populations and Evolution
2013-10-04 v1 Probability
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.
Cite
@article{arxiv.1306.3522,
title = {Analysis and rejection sampling of Wright-Fisher diffusion bridges},
author = {Joshua G. Schraiber and Robert C. Griffiths and Steven N. Evans},
journal= {arXiv preprint arXiv:1306.3522},
year = {2013}
}
Comments
25 pages, 3 figures, 1 table