Asymptotic results on the length of coalescent trees
Delmas, Jean-François ; Dhersin, Jean-Stéphane ; Siri-Jegousse, Arno
Ann. Appl. Probab., Tome 18 (2008) no. 1, p. 997-1025 / Harvested from Project Euclid
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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.
Publié le : 2008-06-15
Classification:  Coalescent process,  Beta-coalescent,  stable process,  Watterson estimator,  60F05,  60G52,  60J70,  05C05 
@article{1211819792,
     author = {Delmas, Jean-Fran\c cois and Dhersin, Jean-St\'ephane and Siri-Jegousse, Arno},
     title = {Asymptotic results on the length of coalescent trees},
     journal = {Ann. Appl. Probab.},
     volume = {18},
     number = {1},
     year = {2008},
     pages = { 997-1025},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1211819792}
}

Delmas, Jean-François; Dhersin, Jean-Stéphane; Siri-Jegousse, Arno. Asymptotic results on the length of coalescent trees. Ann. Appl. Probab., Tome 18 (2008) no. 1, pp.  997-1025. http://gdmltest.u-ga.fr/item/1211819792/