A population model for $\Lambda$-coalescents with neutral mutations

doi:10.1214/ECP.v12-1245

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References

Bertoin, Jean; Le Gall, Jean-François. Stochastic flows associated to coalescent processes. Probab. Theory Related Fields 126 (2003), no. 2, 261--288. MR1990057 http://www.ams.org/mathscinet-getitem?mr=1990057
Dong, Rui; Gnedin, Alexander; Pitman, Jim. Exchangeable partitions derived from Markovian coalescents. Ann. Appl. Probab. 17 (2007), no. 4, 1172--1201. MR2344303 http://front.math.ucdavis.edu/math.PR/0603745
Gnedin, Alexander; Pitman, Jim. Regenerative composition structures. Ann. Probab. 33 (2005), no. 2, 445--479. MR2122798 http://www.ams.org/mathscinet-getitem?mr=2122798
Kingman, J. F. C. The coalescent. Stochastic Process. Appl. 13 (1982), no. 3, 235--248. MR0671034 http://www.ams.org/mathscinet-getitem?mr=0671034
Kingman, J. F. C. Poisson processes. Oxford Studies in Probability, 3. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York, 1993. viii+104 pp. ISBN: 0-19-853693-3 MR1207584 http://www.ams.org/mathscinet-getitem?mr=1207584
Möhle, M. On sampling distributions for coalescent processes with simultaneous multiple collisions. Bernoulli 12 (2006), no. 1, 35--53. MR2202319 http://www.ams.org/mathscinet-getitem?mr=2202319
Möhle, Martin. On a class of non-regenerative sampling distributions. Combin. Probab. Comput. 16 (2007), no. 3, 435--444. MR2312437 http://dx.doi.org/10.1017/S0963548306008212
Möhle, Martin; Sagitov, Serik. A classification of coalescent processes for haploid exchangeable population models. Ann. Probab. 29 (2001), no. 4, 1547--1562. MR1880231 http://www.ams.org/mathscinet-getitem?mr=1880231
Pitman, Jim. Coalescents with multiple collisions. Ann. Probab. 27 (1999), no. 4, 1870--1902. MR1742892 http://www.ams.org/mathscinet-getitem?mr=1742892
Sagitov, Serik. The general coalescent with asynchronous mergers of ancestral lines. J. Appl. Probab. 36 (1999), no. 4, 1116--1125. MR1742154 http://www.ams.org/mathscinet-getitem?mr=1742154
Schweinsberg, Jason. Coalescents with simultaneous multiple collisions. Electron. J. Probab. 5 (2000), Paper no. 12, 50 pp. (electronic). MR1781024 http://www.math.washington.edu/~ejpecp/ http://www.ams.org/mathscinet-getitem?mr=1781024

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