Publication: Weak limits for the largest subpopulations in Yule processes with high mutation probabilities
Weak limits for the largest subpopulations in Yule processes with high mutation probabilities
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Baur, E., & Bertoin, J. (2017). Weak limits for the largest subpopulations in Yule processes with high mutation probabilities. Advances in Applied Probability, 49(3), 877–902. https://doi.org/10.1017/apr.2017.25
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We consider a Yule process until the total population reaches size n ≫ 1, and assume that neutral mutations occur with high probability 1 - p (in the sense that each child is a new mutant with probability 1 - p, independently of the other children), where p = p$_{n}$
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Baur, E., & Bertoin, J. (2017). Weak limits for the largest subpopulations in Yule processes with high mutation probabilities. Advances in Applied Probability, 49(3), 877–902. https://doi.org/10.1017/apr.2017.25