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Volumn 106, Issue 1, 2003, Pages 107-139

Coalescent processes obtained from supercritical Galton-Watson processes

Author keywords

Ancestral processes; Coalescence; Galton Watson processes; Poisson Dirichlet distribution

Indexed keywords


EID: 0037843651     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(03)00028-0     Document Type: Article
Times cited : (162)

References (27)
  • 1
    • 0001796185 scopus 로고    scopus 로고
    • Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists
    • Aldous D. Deterministic and stochastic models for coalescence (aggregation and coagulation): a review of the mean-field theory for probabilists Bernoulli 5 1999 3-48
    • (1999) Bernoulli , vol.5 , pp. 3-48
    • Aldous, D.1
  • 2
    • 0034396569 scopus 로고    scopus 로고
    • The Bolthausen-Sznitman coalescent and the genealogy of continuous-state branching processes
    • Bertoin J. Le Gall J.-F. The Bolthausen-Sznitman coalescent and the genealogy of continuous-state branching processes Probab. Theory Related Fields 117 2000 249-266
    • (2000) Probab. Theory Related Fields , vol.117 , pp. 249-266
    • Bertoin, J.1    Le Gall, J.-F.2
  • 3
    • 3042526534 scopus 로고    scopus 로고
    • Two coalescents derived from the ranges of stable subordinators
    • Bertoin J. Pitman J. Two coalescents derived from the ranges of stable subordinators Electron. J. Probab. 5 2000 1-17
    • (2000) Electron. J. Probab. , vol.5 , pp. 1-17
    • Bertoin, J.1    Pitman, J.2
  • 5
    • 0010117449 scopus 로고    scopus 로고
    • On Ruelle's probability cascades and an abstract cavity method
    • Bolthausen E. Sznitman A.-S. On Ruelle's probability cascades and an abstract cavity method Comm. Math. Phys. 197 1998 247-276
    • (1998) Comm. Math. Phys. , vol.197 , pp. 247-276
    • Bolthausen, E.1    Sznitman, A.-S.2
  • 6
    • 0001344844 scopus 로고
    • The latent roots of certain Markov chains arising in genetics: A new approach, I. Haploid models
    • Cannings C. The latent roots of certain Markov chains arising in genetics: a new approach, I. Haploid models Adv. Appl. Probab. 6 1974 260-290
    • (1974) Adv. Appl. Probab. , vol.6 , pp. 260-290
    • Cannings, C.1
  • 7
    • 0000067183 scopus 로고
    • The latent roots of certain Markov chains arising in genetics: A new approach, II. Further haploid models
    • Cannings C. The latent roots of certain Markov chains arising in genetics: a new approach, II. Further haploid models Adv. Appl. Probab. 7 1975 264-282
    • (1975) Adv. Appl. Probab. , vol.7 , pp. 264-282
    • Cannings, C.1
  • 8
    • 0000584511 scopus 로고
    • The tail of the hypergeometric distribution
    • Chvátal V. The tail of the hypergeometric distribution Discrete Math. 25 1979 285-287
    • (1979) Discrete Math. , vol.25 , pp. 285-287
    • Chvátal, V.1
  • 10
    • 0028782096 scopus 로고
    • Sampling theory for neutral alleles in a varying environment
    • Griffiths R.C. Tavaré S. Sampling theory for neutral alleles in a varying environment Phil. Trans. Roy. Soc. London B. 344 1994 403-410
    • (1994) Phil. Trans. Roy. Soc. London B , vol.344 , pp. 403-410
    • Griffiths, R.C.1    Tavaré, S.2
  • 12
    • 0002556819 scopus 로고
    • On the genealogy of large populations
    • Gani, J., Hannan, E.J. (Eds.), Sheffield (J. Appl. Probab. 19A, 27-43.) Applied Probability Trust
    • Kingman, J.F.C., 1982b. On the genealogy of large populations. In: Gani, J., Hannan, E.J. (Eds.), Essays in Statistical Science, (J. Appl. Probab. 19A, 27-43.) Applied Probability Trust, Sheffield.
    • (1982) Essays in Statistical Science
    • Kingman, J.F.C.1
  • 13
    • 0038896666 scopus 로고    scopus 로고
    • Robustness results for the coalescent
    • Möhle M. Robustness results for the coalescent J. Appl. Probab. 35 1998 438-447
    • (1998) J. Appl. Probab. , vol.35 , pp. 438-447
    • Möhle, M.1
  • 14
    • 17944376025 scopus 로고    scopus 로고
    • Total variation distances and rates of convergence for ancestral coalescent processes in exchangeable population models
    • Möhle M. Total variation distances and rates of convergence for ancestral coalescent processes in exchangeable population models Adv. Appl. Probab. 32 2000 983-993
    • (2000) Adv. Appl. Probab. , vol.32 , pp. 983-993
    • Möhle, M.1
  • 15
    • 0036142652 scopus 로고    scopus 로고
    • The coalescent in population models with time-inhomogeneous environment
    • Möhle M. The coalescent in population models with time-inhomogeneous environment Stochast. Process. Appl. 97 2002 199-227
    • (2002) Stochast. Process. Appl. , vol.97 , pp. 199-227
    • Möhle, M.1
  • 16
    • 0007196593 scopus 로고    scopus 로고
    • A characterization of ancestral limit processes arising in haploid population genetics models
    • Preprint. Johannes Gutenberg-Univ., Mainz
    • Möhle, M., Sagitov, S., 1998. A characterization of ancestral limit processes arising in haploid population genetics models. Preprint. Johannes Gutenberg-Univ., Mainz.
    • (1998)
    • Möhle, M.1    Sagitov, S.2
  • 17
    • 0035470867 scopus 로고    scopus 로고
    • A classification of coalescent processes for haploid exchangeable population models
    • Möhle M. Sagitov S. A classification of coalescent processes for haploid exchangeable population models Ann. Probab. 29 2001 1547-1562
    • (2001) Ann. Probab. , vol.29 , pp. 1547-1562
    • Möhle, M.1    Sagitov, S.2
  • 18
    • 0038056172 scopus 로고
    • A continuous-state branching process in relation with the GREM model of spin glass theory
    • Rapport interne no. 267, Ecole Polytechnique
    • Neveu, J., 1992. A continuous-state branching process in relation with the GREM model of spin glass theory. Rapport interne no. 267, Ecole Polytechnique.
    • (1992)
    • Neveu, J.1
  • 19
    • 0001902647 scopus 로고
    • Size-biased sampling of Poisson point processes and excursions
    • Perman M. Pitman J. Yor M. Size-biased sampling of Poisson point processes and excursions Probab. Theory Related Fields 92 1992 21-39
    • (1992) Probab. Theory Related Fields , vol.92 , pp. 21-39
    • Perman, M.1    Pitman, J.2    Yor, M.3
  • 20
    • 21844504293 scopus 로고
    • Exchangeable and partially exchangeable random partitions
    • Pitman J. Exchangeable and partially exchangeable random partitions Probab. Theory. Related Fields 102 1995 145-158
    • (1995) Probab. Theory. Related Fields , vol.102 , pp. 145-158
    • Pitman, J.1
  • 21
    • 85132282134 scopus 로고    scopus 로고
    • Partition structures derived from Brownian motion and stable subordinators
    • Pitman J. Partition structures derived from Brownian motion and stable subordinators Bernoulli 3 1997 79-96
    • (1997) Bernoulli , vol.3 , pp. 79-96
    • Pitman, J.1
  • 22
    • 0033233681 scopus 로고    scopus 로고
    • Coalescents with multiple collisions
    • Pitman J. Coalescents with multiple collisions Ann. Probab. 27 1999 1870-1902
    • (1999) Ann. Probab. , vol.27 , pp. 1870-1902
    • Pitman, J.1
  • 23
    • 0031534984 scopus 로고    scopus 로고
    • The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator
    • Pitman J. Yor M. The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator Ann. Probab. 25 1997 855-900
    • (1997) Ann. Probab. , vol.25 , pp. 855-900
    • Pitman, J.1    Yor, M.2
  • 24
    • 0033233843 scopus 로고    scopus 로고
    • The general coalescent with asynchronous mergers of ancestral lines
    • Sagitov S. The general coalescent with asynchronous mergers of ancestral lines J. Appl. Probab. 36 1999 1116-1125
    • (1999) J. Appl. Probab. , vol.36 , pp. 1116-1125
    • Sagitov, S.1
  • 25
    • 0038732620 scopus 로고    scopus 로고
    • Convergence to the coalescent with simultaneous multiple mergers
    • Preprint. Available via
    • Sagitov, S., 2002. Convergence to the coalescent with simultaneous multiple mergers. Preprint. Available via http://www.math.chalmers.se/~serik/coal.html.
    • (2002)
    • Sagitov, S.1
  • 26
    • 84989951245 scopus 로고    scopus 로고
    • A necessary and sufficient condition for the Λ-coalescent to come down from infinity
    • Schweinsberg J. A necessary and sufficient condition for the Λ-coalescent to come down from infinity Electron. Comm. Probab. 5 2000 1-11
    • (2000) Electron. Comm. Probab. , vol.5 , pp. 1-11
    • Schweinsberg, J.1
  • 27
    • 0001885968 scopus 로고    scopus 로고
    • Coalescents with simultaneous multiple collisions
    • Schweinsberg J. Coalescents with simultaneous multiple collisions Electron. J. Probab. 5 2000 1-50
    • (2000) Electron. J. Probab. , vol.5 , pp. 1-50
    • Schweinsberg, J.1


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