Beta approximation for the two alleles Moran model by Stein's method
Probability
2023-07-27 v1
Abstract
In work on the two alleles Moran model, Ewens showed that the stationary distribution for the number of genes of one type can be approximated by a Beta distribution. In this short note, we provide a sharp error term for this approximation. We show that this example fits perfectly into Doebler's framework for Beta approximation by Stein's method of exchangeable pairs.
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Cite
@article{arxiv.2307.13835,
title = {Beta approximation for the two alleles Moran model by Stein's method},
author = {Jason Fulman},
journal= {arXiv preprint arXiv:2307.13835},
year = {2023}
}
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7 pages