Equilibrium in Wright-Fisher models of population genetics
Statistics Theory
2020-08-04 v2 Statistics Theory
Abstract
For multivariant Wright-Fisher models in population genetics, we introduce equilibrium states, expressed by fluctuations of probability ratio, in contrast to the traditionally used fluctuations, expressed by the difference between the current value of the random process and its equilibrium value. Then the drift component of the dynamic process of gene frequencies, primarily expressed as a ratio of two quadratic forms, is transformed into a cubic parabola with a certain normalization factor.
Keywords
Cite
@article{arxiv.2007.13482,
title = {Equilibrium in Wright-Fisher models of population genetics},
author = {D. Koroliouk and V. S. Koroliuk},
journal= {arXiv preprint arXiv:2007.13482},
year = {2020}
}
Comments
6 pages, a genetic Wright-Fisher model is considered as a multivariate statistical experiment which has a representation as a Discrete Markov Diffusion