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Volumn 38, Issue 3, 2006, Pages 750-767

On the number of segregating sites for populations with large family sizes

Author keywords

Autoregressive process; Coalescent process; Infinitely many sites model; Multiple collisions; Segregating sites; Stochastic difference equation; Total number of mutations

Indexed keywords

ANCESTRAL LINEAGES; AUTOREGRESSIVE PROCESS; COALESCENT PROCESS; INFINITELY-MANY-SITES MODEL; MULTIPLE COLLISIONS; SEGREGATING SITES; STOCHASTIC DIFFERENCE EQUATION;

EID: 33749577624     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1158685000     Document Type: Article
Times cited : (23)

References (27)
  • 1
    • 33749539221 scopus 로고    scopus 로고
    • Small-time behavior of beta-coalescents
    • Preprint
    • Berestycki, J., Berestycki, N. and Schweinsberg, J. (2005). Small-time behavior of beta-coalescents. Preprint.
    • (2005)
    • Berestycki, J.1    Berestycki, N.2    Schweinsberg, J.3
  • 2
    • 33749580138 scopus 로고    scopus 로고
    • Beta-coalescents and continuous stable random trees
    • Preprint
    • Berestycki, J., Berestycki, N. and Schweinberg, J. (2006). Beta-coalescents and continuous stable random trees. Preprint.
    • (2006)
    • Berestycki, J.1    Berestycki, N.2    Schweinsberg, J.3
  • 3
    • 0038648299 scopus 로고    scopus 로고
    • Stochastic flows associated to coalescent processes
    • Bertoin, J. and Le Gall, J.-F. (2003). Stochastic flows associated to coalescent processes. Prob. Theory Relat. Fields 126, 261-288.
    • (2003) Prob. Theory Relat. Fields , vol.126 , pp. 261-288
    • Bertoin, J.1    Le Gall, J.-F.2
  • 4
    • 0037982096 scopus 로고    scopus 로고
    • On subordinators, self-similar Markov processes and some factorizations of the exponential variable
    • Bertoin, J. and Yor, M. (2001). On subordinators, self-similar Markov processes and some factorizations of the exponential variable. Electron. Commun. Prob. 6, 95-106.
    • (2001) Electron. Commun. Prob. , vol.6 , pp. 95-106
    • Bertoin, J.1    Yor, M.2
  • 5
    • 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. Commun. Math. Phys. 197, 247-276.
    • (1998) Commun. Math. Phys. , vol.197 , pp. 247-276
    • Bolthausen, E.1    Sznitman, A.-S.2
  • 6
    • 0001103803 scopus 로고
    • n with stationary coefficients
    • n with stationary coefficients. Adv. Appl. Prob. 18, 211-220.
    • (1986) Adv. Appl. Prob. , vol.18 , pp. 211-220
    • Brandt, A.1
  • 7
    • 0008726577 scopus 로고    scopus 로고
    • On the distribution and asymptotic results for exponential functionals of Lévy processes
    • In ed. M. Yor, Biblioteca de la Revista Matematica Iberoamericana, Madrid
    • Carmona, P., Petit, F. and Yor, M. (1997). On the distribution and asymptotic results for exponential functionals of Lévy processes. In Exponential Functionals and Principal Values Related to Brownian Motion, ed. M. Yor, Biblioteca de la Revista Matematica Iberoamericana, Madrid, pp. 73-121.
    • (1997) Exponential Functionals and Principal Values Related to Brownian Motion , pp. 73-121
    • Carmona, P.1    Petit, F.2    Yor, M.3
  • 8
    • 24144471796 scopus 로고    scopus 로고
    • A coalescent model for the effect of advantageous mutations on the genealogy of a population
    • Durrett, R. and Schweinsberg, J. (2005). A coalescent model for the effect of advantageous mutations on the genealogy of a population. Stoch. Process. Appl. 115, 1628-1657.
    • (2005) Stoch. Process. Appl. , vol.115 , pp. 1628-1657
    • Durrett, R.1    Schweinsberg, J.2
  • 9
    • 23244443030 scopus 로고    scopus 로고
    • Random recursive trees and the Bolthausen-Sznitman coalescent
    • Goldschmidt, C. and Martin, J. B. (2005). Random recursive trees and the Bolthausen-Sznitman coalescent. Electron. J. Prob. 10, 718-745.
    • (2005) Electron. J. Prob. , vol.10 , pp. 718-745
    • Goldschmidt, C.1    Martin, J.B.2
  • 10
    • 0242676828 scopus 로고    scopus 로고
    • On the moment problem for random sums
    • Gut, A. (2003). On the moment problem for random sums. J. Appl. Prob. 40, 797-802.
    • (2003) J. Appl. Prob. , vol.40 , pp. 797-802
    • Gut, A.1
  • 11
    • 0002761623 scopus 로고
    • Does variance in reproductive success limit effective population sizes of marine organisms?
    • In ed. A. Beaumont, Chapman and Hall, London
    • Hedgecock, D. (1994). Does variance in reproductive success limit effective population sizes of marine organisms? In Genetics and Evolution of Aquatic Organisms, ed. A. Beaumont, Chapman and Hall, London, pp.122-134.
    • (1994) Genetics and Evolution of Aquatic Organisms , pp. 122-134
    • Hedgecock, D.1
  • 12
    • 0002743467 scopus 로고
    • Exchangeability and the evolution of large populations
    • In eds G. Koch and F. Spizzichino, North-Holland, Amsterdam
    • Kingman, J. F. C. (1982). Exchangeability and the evolution of large populations. In Exchangeability in Probability and Statistics, eds G. Koch and F. Spizzichino, North-Holland, Amsterdam, pp. 97-112.
    • (1982) Exchangeability in Probability and Statistics , pp. 97-112
    • Kingman, J.F.C.1
  • 13
    • 0002556819 scopus 로고
    • On the genealogy of large populations
    • In eds J. Gani and E. J. Hannan, Applied Probability Trust, Sheffield
    • Kindman, J. F. C. (1982). On the genealogy of large populations. In Essays in Statistical Science (J. Appl. Prob. Spec. Vol. 19A), eds J. Gani and E. J. Hannan, Applied Probability Trust, Sheffield, pp. 27-43.
    • (1982) Essays in Statistical Science (J. Appl. Prob. Spec.) , vol.19 A , pp. 27-43
    • Kindman, J.F.C.1
  • 15
    • 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
  • 16
    • 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. Prob. 29, 1547-1562.
    • (2001) Ann. Prob. , vol.29 , pp. 1547-1562
    • Möhle, M.1    Sagitov, S.2
  • 17
    • 4544355251 scopus 로고    scopus 로고
    • On the contraction method with degenerate limit equation
    • Neininger, R. and Rüschendorf, L. (2004). On the contraction method with degenerate limit equation. Ann. Prob. 32, 2838-2856.
    • (2004) Ann. Prob. , vol.32 , pp. 2838-2856
    • Neininger, R.1    Rüschendorf, L.2
  • 18
    • 0033233681 scopus 로고    scopus 로고
    • Coalescents with multiple collisions
    • Pitman, J. (1999). Coalescents with multiple collisions. Ann. Prob. 27, 1870-1902.
    • (1999) Ann. Prob. , vol.27 , pp. 1870-1902
    • Pitman, J.1
  • 19
    • 0002731988 scopus 로고
    • A limit theorem for 'Quicksort'
    • Rösler, U. (1991). A limit theorem for 'Quicksort'. RAIRO Inf. Théoret. Appl. 25, 85-100.
    • (1991) RAIRO Inf. Théoret. Appl. , vol.25 , pp. 85-100
    • Rösler, U.1
  • 20
    • 38249008257 scopus 로고
    • A fixed point theorem for distributions
    • Rösler, U. (1992). A fixed point theorem for distributions. Stoch. Process. Appl. 42, 195-214.
    • (1992) Stoch. Process. Appl. , vol.42 , pp. 195-214
    • Rösler, U.1
  • 21
    • 0002015483 scopus 로고    scopus 로고
    • The contraction method for recursive algorithms
    • Rösler, U. and Rüschendorf, L. (2001). The contraction method for recursive algorithms. Algorithmica 29, 3-33.
    • (2001) Algorithmica , vol.29 , pp. 3-33
    • Rösler, U.1    Rüschendorf, L.2
  • 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. Prob. 36, 1116-1125.
    • (1999) J. Appl. Prob. , vol.36 , pp. 1116-1125
    • Sagitov, S.1
  • 23
    • 84989951245 scopus 로고    scopus 로고
    • A necessary and sufficient condition for the Λ-coalescent to come down from infinity
    • Schweinsberg, J. (2000). A necessary and sufficient condition for the Λ-coalescent to come down from infinity. Electron. Commun. Prob. 5, 1-11.
    • (2000) Electron. Commun. Prob. , vol.5 , pp. 1-11
    • Schweinsberg, J.1
  • 24
    • 0001885968 scopus 로고    scopus 로고
    • Coalescents with simultaneous multiple collisions
    • Schweinsberg, J. (200O). Coalescents with simultaneous multiple collisions. Electron. J. Prob. 5, 1-50.
    • (2000) Electron. J. Prob. , vol.5 , pp. 1-50
    • Schweinsberg, J.1
  • 25
    • 0024313579 scopus 로고
    • Statistical method for testing the neutral mutation hypothesis by DNA polymorphism
    • Tajima, F. (1989). Statistical method for testing the neutral mutation hypothesis by DNA polymorphism. Genetics 123, 585-595.
    • (1989) Genetics , vol.123 , pp. 585-595
    • Tajima, F.1
  • 26
    • 0001565579 scopus 로고
    • On a stochastic difference equation and a representation of non-negative infinitely divisible random variables
    • Vervaat, W. (1979). On a stochastic difference equation and a representation of non-negative infinitely divisible random variables. Adv. Appl. Prob. 11, 750-783.
    • (1979) Adv. Appl. Prob. , vol.11 , pp. 750-783
    • Vervaat, W.1
  • 27
    • 0016491430 scopus 로고
    • On the number of segregating sites in genetical models without recombination
    • Watterson, G. A. (1975). On the number of segregating sites in genetical models without recombination. Theoret. Pop. Biol. 7, 256-276.
    • (1975) Theoret. Pop. Biol. , vol.7 , pp. 256-276
    • Watterson, G.A.1


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