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Volumn 210, Issue 2, 1997, Pages 777-789

Fluctuation theory for Moran's genetics model

Author keywords

[No Author keywords available]

Indexed keywords

MARKOV PROCESSES; PROBABILITY; RANDOM PROCESSES;

EID: 0031152505     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5435     Document Type: Article
Times cited : (3)

References (37)
  • 1
    • 0000569649 scopus 로고
    • Random walks on finite groups and rapidly mixing Markov chains
    • Springer-Verlag, New York
    • 1. D. J. Aldous, Random walks on finite groups and rapidly mixing Markov chains, in "Lecture Notes in Mathematics," Vol. 986, pp. 243-297, Springer-Verlag, New York, 1983.
    • (1983) Lecture Notes in Mathematics , vol.986 , pp. 243-297
    • Aldous, D.J.1
  • 2
    • 0010809885 scopus 로고
    • Probability approximations via the poisson clumping heuristic
    • Springer-Verlag, New York
    • 2. D. J. Aldous, "Probability Approximations via the Poisson Clumping Heuristic," Applied Math. Sciences, Vol. 77, Springer-Verlag, New York, 1989.
    • (1989) Applied Math. Sciences , vol.77
    • Aldous, D.J.1
  • 6
    • 0000650220 scopus 로고
    • Fluctuation theory for the Ehrenfest urn
    • 6. N. H. Bingham, Fluctuation theory for the Ehrenfest urn, Adv. in Appl. Probab. 23 (1991), 598-611.
    • (1991) Adv. in Appl. Probab. , vol.23 , pp. 598-611
    • Bingham, N.H.1
  • 7
    • 0010930244 scopus 로고
    • Mean transition times for the Ehrenfest urn model
    • 7. G. Blom, Mean transition times for the Ehrenfest urn model, Adv. in Appl. Probab. 21 (1989), 479-480.
    • (1989) Adv. in Appl. Probab. , vol.21 , pp. 479-480
    • Blom, G.1
  • 9
    • 21844525971 scopus 로고
    • On a generalization of the Ehrenfest urn model
    • 9. H. Dette, On a generalization of the Ehrenfest urn model, J. Appl. Probab. 31, No. 4 (1994), 930-939.
    • (1994) J. Appl. Probab. , vol.31 , Issue.4 , pp. 930-939
    • Dette, H.1
  • 10
    • 0003212162 scopus 로고
    • Group representations in probability and statistics
    • Inst. Math. Stats.
    • 10. P. Diaconis, Group representations in probability and statistics, in "Lecture Notes - Monographs," Vol. 11, Inst. Math. Stats., 1988.
    • (1988) Lecture Notes - Monographs , vol.11
    • Diaconis, P.1
  • 11
    • 84990662395 scopus 로고
    • Asymptotic analysis of a random walk on a hypercube with many dimensions
    • 11. P. Diaconis, R. L. Graham, and J. A. Morrison, Asymptotic analysis of a random walk on a hypercube with many dimensions, Random Structures Algorithms 1 (1990), 51-72.
    • (1990) Random Structures Algorithms , vol.1 , pp. 51-72
    • Diaconis, P.1    Graham, R.L.2    Morrison, J.A.3
  • 12
    • 0003119203 scopus 로고
    • Time to reach stationarity in the Bernoulli-Laplace diffusion model
    • 12. P. Diaconis and M. Shahshahani, Time to reach stationarity in the Bernoulli-Laplace diffusion model, SIAM J. Math. Anal. 1 (1987), 208-218.
    • (1987) SIAM J. Math. Anal. , vol.1 , pp. 208-218
    • Diaconis, P.1    Shahshahani, M.2
  • 13
    • 84976027932 scopus 로고
    • The transient behaviour of the Moran model in population genetics
    • 13. P. Donnelly, The transient behaviour of the Moran model in population genetics, Math. Proc. Cambridge Philos. Soc. 95 (1984), 349-358.
    • (1984) Math. Proc. Cambridge Philos. Soc. , vol.95 , pp. 349-358
    • Donnelly, P.1
  • 14
    • 0000869201 scopus 로고
    • Approach to stationarity in the Bernoulli-Laplace urn
    • 14. P. Donnelly, P. Lloyd, and A. Sudbury, Approach to stationarity in the Bernoulli-Laplace urn, Adv. in Appl. Probab. 26, No. 3 (1994), 715-727.
    • (1994) Adv. in Appl. Probab. , vol.26 , Issue.3 , pp. 715-727
    • Donnelly, P.1    Lloyd, P.2    Sudbury, A.3
  • 19
    • 0000491534 scopus 로고
    • Non-negativity of a discrete Poisson kernel for the Hahn polynomials
    • 19. G. Gasper, Non-negativity of a discrete Poisson kernel for the Hahn polynomials, J. Math. Anal. Appl. 42 (1973), 438-451.
    • (1973) J. Math. Anal. Appl. , vol.42 , pp. 438-451
    • Gasper, G.1
  • 23
    • 84968465028 scopus 로고
    • The classification of birth and death processes
    • 23. S. Karlin and J. McGregor, The classification of birth and death processes, Trans. Amer. Math. Soc. 86 (1957), 366-400.
    • (1957) Trans. Amer. Math. Soc. , vol.86 , pp. 366-400
    • Karlin, S.1    McGregor, J.2
  • 24
    • 0003082366 scopus 로고
    • The hahn polynomials; formulae and an application
    • 24. S. Karlin and J. McGregor, The Hahn polynomials; formulae and an application, Scripta Math. 26 (1961), 33-46.
    • (1961) Scripta Math. , vol.26 , pp. 33-46
    • Karlin, S.1    McGregor, J.2
  • 26
    • 0001855041 scopus 로고
    • On some stochastic models in genetics
    • Univ. of Wisconsin Press, Madison
    • 26. S. Karlin and J. McGregor, On some stochastic models in genetics, in "Stochastic Models in Medicine and Biology," pp. 245-279, Univ. of Wisconsin Press, Madison, 1964.
    • (1964) Stochastic Models in Medicine and Biology , pp. 245-279
    • Karlin, S.1    McGregor, J.2
  • 27
    • 0002344242 scopus 로고
    • Linear growth models with many types and multi-dimensional Hahn polynomials
    • Academic Press, New York/London
    • 27. S. Karlin and J. McGregor, Linear growth models with many types and multi-dimensional Hahn polynomials, in "Theory and Applications of Special Functions," pp. 261-288, Academic Press, New York/London, 1975.
    • (1975) Theory and Applications of Special Functions , pp. 261-288
    • Karlin, S.1    McGregor, J.2
  • 28
    • 0001412648 scopus 로고
    • Transient behaviour in diffusion and birth-and-death processes, II
    • 28. J. Keilson, Transient behaviour in diffusion and birth-and-death processes, II, J. Appl. Probab. 2 (1965), 405-428.
    • (1965) J. Appl. Probab. , vol.2 , pp. 405-428
    • Keilson, J.1
  • 30
    • 21344495840 scopus 로고
    • Mean passage times for tridiagonal matrices and a two-parameter Ehrenfest urn model
    • 30. O. Krafft and M. Schaefer, Mean passage times for tridiagonal matrices and a two-parameter Ehrenfest urn model, J. Appl. Probab. 30 (1993), 964-970.
    • (1993) J. Appl. Probab. , vol.30 , pp. 964-970
    • Krafft, O.1    Schaefer, M.2
  • 31
    • 0010874039 scopus 로고
    • Some sample path properties of a random walk on the cube
    • 31. P. Matthews, Some sample path properties of a random walk on the cube, J. Theoret. Probab. 2, No. 1 (1989), 129-146.
    • (1989) J. Theoret. Probab. , vol.2 , Issue.1 , pp. 129-146
    • Matthews, P.1
  • 33
    • 0010873251 scopus 로고
    • Large deviation results for a class of Markov chains arising in population genetics
    • 33. G. J. Morrow and S. Sawyer, Large deviation results for a class of Markov chains arising in population genetics, Ann. Probab. 17 (1989), 1124-1146.
    • (1989) Ann. Probab. , vol.17 , pp. 1124-1146
    • Morrow, G.J.1    Sawyer, S.2
  • 36
    • 0002867947 scopus 로고
    • Weak convergence of orthogonal polynomials
    • 36. W. Van Assche, Weak convergence of orthogonal polynomials, Indag. Math. 6, No. 1 (1995), 7-23.
    • (1995) Indag. Math. , vol.6 , Issue.1 , pp. 7-23
    • Van Assche, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.