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

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  • Fulman, Jason

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.

Suggested Citation

  • Fulman, Jason, 2024. "Beta approximation for the two alleles Moran model by Stein’s method," Statistics & Probability Letters, Elsevier, vol. 208(C).
    • Handle: RePEc:eee:stapro:v:208:y:2024:i:c:s0167715224000208
    DOI: 10.1016/j.spl.2024.110051
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