Beta approximation for the two alleles Moran model by Stein’s method

Jason Fulman

Statistics & Probability Letters, 2024, vol. 208, issue C

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 Döbler’s framework for Beta approximation by Stein’s method of exchangeable pairs.

Keywords: Stein’s method; Moran model; Beta approximation; Population genetics (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1016/j.spl.2024.110051

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