Asymptotic results on the length of coalescent trees

Jean-François Delmas, Jean-Stéphane Dhersin, Arno Siri-Jegousse
2008 The Annals of Applied Probability  
We give the asymptotic distribution of the length of partial coalescent trees for Beta and related coalescents. This allows us to give the asymptotic distribution of the number of (neutral) mutations in the partial tree. This is a first step to study the asymptotic distribution of a natural estimator of DNA mutation rate for species with large families.
doi:10.1214/07-aap476 fatcat:inaj4nhx35cnvjzi3zfvm2ewza