On the Donnelly-Tavaré-Griffiths formula associated with the coalescent. (English) Zbl 1030.62511
Summary: We evaluate the moments of the Donnelly-Tavaré-Griffiths formula appearing in the \(n\)-coalescent with mutation, which characterizes this formula. The formula is also characterized by using Waring distribution and Yule distribution. The asymptotic distributions of the related statistics are obtained as \(n\) tends to infinity.
MSC:
| 62E15 | Exact distribution theory in statistics |
| 62P10 | Applications of statistics to biology and medical sciences; meta analysis |
| 92D10 | Genetics and epigenetics |
References:
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