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Volumn 64, Issue 1, 1996, Pages 1-16

The asymptotic behavior of an urn model arising in population genetics

Author keywords

Fleming Viot process; Genetics models; Neutral mutations; Ohta Kimura model; Polya urn; Quasi species

Indexed keywords


EID: 0030295812     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(96)00085-3     Document Type: Article
Times cited : (11)

References (16)
  • 2
    • 85045502352 scopus 로고    scopus 로고
    • A countable representation of the Fleming-Viot measure-valued diffusion
    • to appear
    • P. Donnelly and T.G. Kurtz, A countable representation of the Fleming-Viot measure-valued diffusion, to appear in: Ann. Probab.
    • Ann. Probab.
    • Donnelly, P.1    Kurtz, T.G.2
  • 3
    • 0000935105 scopus 로고
    • On the functional central limit theorem for the Ewens sampling formula
    • P. Donnelly, T.G. Kurtz and S. Tavaré, On the functional central limit theorem for the Ewens sampling formula, Ann. Appl. Probab. 1 (1991) 539-545.
    • (1991) Ann. Appl. Probab. , vol.1 , pp. 539-545
    • Donnelly, P.1    Kurtz, T.G.2    Tavaré, S.3
  • 4
    • 0001551535 scopus 로고
    • The infinitely-many-sites model as a measure-valued diffusion
    • S.N. Ethier and R.C. Griffiths, The infinitely-many-sites model as a measure-valued diffusion, Ann. Probab. 15 (1987) 515-545.
    • (1987) Ann. Probab. , vol.15 , pp. 515-545
    • Ethier, S.N.1    Griffiths, R.C.2
  • 5
    • 0011568121 scopus 로고
    • On the stationary distribution of the neutral diffusion model in population genetics
    • S.N. Ethier and T.G. Kurtz, On the stationary distribution of the neutral diffusion model in population genetics, Ann. Appl. Probab. 2 (1992) 24-35.
    • (1992) Ann. Appl. Probab. , vol.2 , pp. 24-35
    • Ethier, S.N.1    Kurtz, T.G.2
  • 6
    • 0027553844 scopus 로고
    • Fleming-Viot processes in population genetics
    • S.N. Ethier and T.G. Kurtz, Fleming-Viot processes in population genetics, SIAM J. Control Optim. 31 (1993) 345-386.
    • (1993) SIAM J. Control Optim. , vol.31 , pp. 345-386
    • Ethier, S.N.1    Kurtz, T.G.2
  • 8
    • 0001625339 scopus 로고
    • Some measure-valued Markov processes in population genetics theory
    • W.H. Fleming and M. Viot, Some measure-valued Markov processes in population genetics theory, a Indiana Univ. Math. J. 28 (1979) 817-843.
    • (1979) A Indiana Univ. Math. J. , vol.28 , pp. 817-843
    • Fleming, W.H.1    Viot, M.2
  • 9
    • 0024796326 scopus 로고
    • Genealogical-tree probabilities in the infinitely-many-sites model
    • R.C. Griffiths, Genealogical-tree probabilities in the infinitely-many-sites model, J. Math. Biol. 27 (1989) 667-680.
    • (1989) J. Math. Biol. , vol.27 , pp. 667-680
    • Griffiths, R.C.1
  • 10
    • 0021634009 scopus 로고
    • Polya-like urns and the Ewens sampling formula
    • F.M. Hoppe, Polya-like urns and the Ewens sampling formula, J. Math. Biol. 20 (1984) 91-94.
    • (1984) J. Math. Biol. , vol.20 , pp. 91-94
    • Hoppe, F.M.1
  • 11
    • 0019199396 scopus 로고
    • The number of distinguishable alleles according to the Ohta-Kimura model of neutral mutation
    • H. Kesten, The number of distinguishable alleles according to the Ohta-Kimura model of neutral mutation, J. Math. Biol. 10 (1980) 167-187.
    • (1980) J. Math. Biol. , vol.10 , pp. 167-187
    • Kesten, H.1
  • 12
    • 0002556819 scopus 로고
    • On the genealogy of large populations
    • J.F.C. Kingman, On the genealogy of large populations, J. Appl. Probab. 19A (1982a) 27-43.
    • (1982) J. Appl. Probab. , vol.19 A , pp. 27-43
    • Kingman, J.F.C.1
  • 14
    • 0015765702 scopus 로고
    • A model of mutation appropriate to estimate the number of electrophoretically detectable alleles in a finite population
    • T. Ohta and M. Kimura, A model of mutation appropriate to estimate the number of electrophoretically detectable alleles in a finite population, Genet. Res. 22 (1973) 201-204.
    • (1973) Genet. Res. , vol.22 , pp. 201-204
    • Ohta, T.1    Kimura, M.2
  • 15
    • 0011697457 scopus 로고
    • Simulation studies on electrophoretically detectable genetic variability in a finite population
    • T. Ohta and M. Kimura, Simulation studies on electrophoretically detectable genetic variability in a finite population, Genetics 16 (1974) 97-159.
    • (1974) Genetics , vol.16 , pp. 97-159
    • Ohta, T.1    Kimura, M.2
  • 16
    • 0021514720 scopus 로고
    • Line of descent and genealogical processes, and their applications in population genetics models
    • S. Tavaré, Line of descent and genealogical processes, and their applications in population genetics models, Theoret. Popn. Biol. 26 (1984) 119-164.
    • (1984) Theoret. Popn. Biol. , vol.26 , pp. 119-164
    • Tavaré, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.