메뉴 건너뛰기




Volumn 12, Issue 1, 2006, Pages 35-53

On sampling distributions for coalescent processes with simultaneous multiple collisions

Author keywords

Bolthausen Sznitman coalescent; Composition probability function; Ewens sampling formula; Mutation rate; Neutral infinite alleles model; Partition structure; Sampling distribution; Simultaneous multiple collisions; Star shaped tree

Indexed keywords


EID: 33846836960     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (36)

References (24)
  • 1
    • 0034396569 scopus 로고    scopus 로고
    • The Bolthausen-Sznitman coalescent and the genealogy of continuous-state branching processes
    • Bertoin, J. and Le Gall, J.F. (2000) The Bolthausen-Sznitman coalescent and the genealogy of continuous-state branching processes. Probab. Theory Related Fields, 117, 249-266.
    • (2000) Probab. Theory Related Fields , vol.117 , pp. 249-266
    • Bertoin, J.1    Le Gall, J.F.2
  • 2
    • 0010117449 scopus 로고    scopus 로고
    • On Ruelle's probability cascades and an abstract cavity method
    • Bolthausen, E. and Sznitman, A.-S. (1998) On Ruelle's probability cascades and an abstract cavity method. Comm. Math. Phys., 197, 247-276.
    • (1998) Comm. Math. Phys , vol.197 , pp. 247-276
    • Bolthausen, E.1    Sznitman, A.-S.2
  • 3
    • 0001344844 scopus 로고
    • The latent roots of certain Markov chains arising in genetics: A new approach, I. Haploid models
    • Cannings C. (1974) The latent roots of certain Markov chains arising in genetics: a new approach, I. Haploid models. Adv. Appl. Probab., 6, 260-290.
    • (1974) Adv. Appl. Probab , vol.6 , pp. 260-290
    • Cannings, C.1
  • 4
    • 0000067183 scopus 로고
    • The latent roots of certain Markov chains arising in genetics: A new approach, II. Further haploid models
    • Cannings, C. (1975) The latent roots of certain Markov chains arising in genetics: a new approach, II. Further haploid models. Adv. Appl. Probab., 7, 264-282.
    • (1975) Adv. Appl. Probab , vol.7 , pp. 264-282
    • Cannings, C.1
  • 5
    • 3142712394 scopus 로고    scopus 로고
    • Importance sampling on coalescent histories
    • De Iorio, M. and Griffiths, R.C. (2004) Importance sampling on coalescent histories. Adv. Appl. Probab., 36, 417-433.
    • (2004) Adv. Appl. Probab , vol.36 , pp. 417-433
    • De Iorio, M.1    Griffiths, R.C.2
  • 6
    • 0015310384 scopus 로고
    • The sampling theory of selectively neutral alleles
    • Ewens, W.J. (1972) The sampling theory of selectively neutral alleles. Theoret. Popul. Biol., 3, 87-112.
    • (1972) Theoret. Popul. Biol , vol.3 , pp. 87-112
    • Ewens, W.J.1
  • 7
    • 17044405972 scopus 로고    scopus 로고
    • Regenerative composition structures
    • Gnedin, A. and Pitman, J. (2005) Regenerative composition structures. Ann. Probab., 33, 445-479.
    • (2005) Ann. Probab , vol.33 , pp. 445-479
    • Gnedin, A.1    Pitman, J.2
  • 8
    • 26244441703 scopus 로고    scopus 로고
    • Ewens' sampling formula and related formulae: Combinatorial proofs, extensions to variable population size and applications to ages of alleles
    • To appear
    • Griffiths, R.C. and Lessard, S. (2005) Ewens' sampling formula and related formulae: combinatorial proofs, extensions to variable population size and applications to ages of alleles. Theoret. Popul. Biol. To appear.
    • (2005) Theoret. Popul. Biol
    • Griffiths, R.C.1    Lessard, S.2
  • 9
    • 0001129760 scopus 로고    scopus 로고
    • Monte Carlo inference methods in population genetics
    • Griffiths, R.C. and Tavaré, S. (1996) Monte Carlo inference methods in population genetics. Math. Comput. Modelling, 23, 141-158.
    • (1996) Math. Comput. Modelling , vol.23 , pp. 141-158
    • Griffiths, R.C.1    Tavaré, S.2
  • 11
    • 0036116141 scopus 로고    scopus 로고
    • Gaussian limits associated with the Poisson-Dirichlet distribution and the Ewens sampling formula
    • Joyce, P., Krone, S.M. and Kurtz, T.G. (2002) Gaussian limits associated with the Poisson-Dirichlet distribution and the Ewens sampling formula. Ann. AppI. Probab., 12, 101-124.
    • (2002) Ann. AppI. Probab , vol.12 , pp. 101-124
    • Joyce, P.1    Krone, S.M.2    Kurtz, T.G.3
  • 12
    • 0017480063 scopus 로고
    • The population structure associated with the Ewens sampling formula
    • Kingman, J.F.C. (1977) The population structure associated with the Ewens sampling formula. Theoret. Popul. Biol., 11, 274-283.
    • (1977) Theoret. Popul. Biol , vol.11 , pp. 274-283
    • Kingman, J.F.C.1
  • 13
    • 0002556819 scopus 로고
    • On the genealogy of large populations
    • Kingman, J.F.C. (1982a) On the genealogy of large populations. J. Appl. Probab., 19A, 27-43.
    • (1982) J. Appl. Probab , vol.19 A , pp. 27-43
    • Kingman, J.F.C.1
  • 14
    • 0002743467 scopus 로고
    • Exchangeability and the evolution of large populations
    • G. Koch and F. Spizzichino eds, Amsterdam: North-Holland
    • Kingman, J.F.C. (1982b) Exchangeability and the evolution of large populations. In G. Koch and F. Spizzichino (eds), Exchangeability in Probability and Statistics, pp. 97-112. Amsterdam: North-Holland.
    • (1982) Exchangeability in Probability and Statistics , pp. 97-112
    • Kingman, J.F.C.1
  • 16
    • 0034530345 scopus 로고    scopus 로고
    • Origins of the coalescent: 1974-1982
    • Kingman, J.F.C. (2000) Origins of the coalescent: 1974-1982. Genetics, 156, 1461-1463.
    • (2000) Genetics , vol.156 , pp. 1461-1463
    • Kingman, J.F.C.1
  • 17
    • 0035470867 scopus 로고    scopus 로고
    • A classification of coalescent processes for haploid exchangeable population models
    • Möhle, M. and Sagitov, S. (2001) A classification of coalescent processes for haploid exchangeable population models. Ann. Probab., 29, 1547-1562.
    • (2001) Ann. Probab , vol.29 , pp. 1547-1562
    • Möhle, M.1    Sagitov, S.2
  • 18
    • 21844504293 scopus 로고
    • Exchangeable and partially exchangeable random partitions
    • Pitman, J. (1995) Exchangeable and partially exchangeable random partitions. Probab. Theory Related Fields, 102, 145-158.
    • (1995) Probab. Theory Related Fields , vol.102 , pp. 145-158
    • Pitman, J.1
  • 19
    • 0033233681 scopus 로고    scopus 로고
    • Coalescents with multiple collisions
    • Pitman, J. (1999) Coalescents with multiple collisions. Ann. Probab., 27, 1870-1902.
    • (1999) Ann. Probab , vol.27 , pp. 1870-1902
    • Pitman, J.1
  • 20
    • 0242641721 scopus 로고    scopus 로고
    • Combinatorial stochastic processes
    • Technical Report 621, Department of Statistics, University of California, Berkeley
    • Pitman, J. (2002) Combinatorial stochastic processes. Technical Report 621, Department of Statistics, University of California, Berkeley.
    • (2002)
    • Pitman, J.1
  • 21
    • 0010108096 scopus 로고
    • Functions of a Markov process that are Markovian
    • Rosenblatt, M. (1959) Functions of a Markov process that are Markovian. J. Math. Mech., 8, 585-596.
    • (1959) J. Math. Mech , vol.8 , pp. 585-596
    • Rosenblatt, M.1
  • 22
    • 0033233843 scopus 로고    scopus 로고
    • The general coalescent with asynchronous mergers of ancestral lines
    • Sagitov, S. (1999) The general coalescent with asynchronous mergers of ancestral lines. J. Appl. Probab., 36, 1116-1125.
    • (1999) J. Appl. Probab , vol.36 , pp. 1116-1125
    • Sagitov, S.1
  • 23
    • 84989951245 scopus 로고    scopus 로고
    • A necessary and sufficient condition for the A-coalescent to come down from infinity
    • Schweinsberg, J. (2000a) A necessary and sufficient condition for the A-coalescent to come down from infinity. Electron. Comm. Probab., 5, 1-11.
    • (2000) Electron. Comm. Probab , vol.5 , pp. 1-11
    • Schweinsberg, J.1
  • 24
    • 0001885968 scopus 로고    scopus 로고
    • Coalescents with simultaneous multiple collisions
    • Schweinsberg, J. (2000b) Coalescents with simultaneous multiple collisions. Electron. J. Probab., 5, 1-50.
    • (2000) Electron. J. Probab , vol.5 , pp. 1-50
    • Schweinsberg, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.