메뉴 건너뛰기




Volumn 40, Issue 4, 2008, Pages 1002-1032

Expected coalescence time for a nonuniform allocation process

Author keywords

Asymptotic behavior; Coalescence; Generalized Wright Fisher model; Markov chain; Most recent common ancestor; Random function

Indexed keywords

ASYMPTOTIC ANALYSIS; BUBBLES (IN FLUIDS); MARKOV PROCESSES; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; SPHERES;

EID: 59649108584     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1231340162     Document Type: Article
Times cited : (4)

References (20)
  • 1
    • 0042377456 scopus 로고    scopus 로고
    • Coalescing times for iid random variables with applications to population biology
    • ADLER, I., AHN, H.-S., KARP, R. M. AND Ross, S. M. (2003). Coalescing times for iid random variables with applications to population biology. Random Structures Algorithms 23, 155-166.
    • (2003) Random Structures Algorithms , vol.23 , pp. 155-166
    • ADLER, I.1    AHN, H.-S.2    KARP, R.M.3    Ross, S.M.4
  • 2
    • 4043118897 scopus 로고    scopus 로고
    • DALAL, A. AND SCHMUTZ, E. (2002). Compositions of random Functions on a finite set. Electron J. Combinatorics 9, 7 pp.
    • DALAL, A. AND SCHMUTZ, E. (2002). Compositions of random Functions on a finite set. Electron J. Combinatorics 9, 7 pp.
  • 3
    • 0029559462 scopus 로고
    • Coalescents and genealogical structure under neutrality
    • DONNELLY, P. AND TAVARÉ, S. (1995). Coalescents and genealogical structure under neutrality. Ann. Rev. Genet. 29, 401-421.
    • (1995) Ann. Rev. Genet , vol.29 , pp. 401-421
    • DONNELLY, P.1    TAVARÉ, S.2
  • 5
    • 0021825926 scopus 로고
    • The shortest-path problem for graphs with random arc-lengths
    • FRIEZE, A. M. AND GRIMMETT, G. R. (1985). The shortest-path problem for graphs with random arc-lengths. Discrete Appl. Math. 10, 57-77.
    • (1985) Discrete Appl. Math , vol.10 , pp. 57-77
    • FRIEZE, A.M.1    GRIMMETT, G.R.2
  • 6
    • 59649108122 scopus 로고    scopus 로고
    • GOH, W., HITCZENKO, P. AND SCHMUTZ, E. (2006). Iterating random functions on a finite set. Unpublished manuscript. Available at http:// front.math.ucdavis.edu/0207.5276.
    • GOH, W., HITCZENKO, P. AND SCHMUTZ, E. (2006). Iterating random functions on a finite set. Unpublished manuscript. Available at http:// front.math.ucdavis.edu/0207.5276.
  • 7
    • 0002743467 scopus 로고
    • Exchangeability and the evolution of large populations
    • eds G. Koch and F. Spizzichino, North-Holland, Amsterdam, pp
    • 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
  • 8
    • 59649128130 scopus 로고    scopus 로고
    • KINGMAN, J. F. C. (1982). On the genealogy of large populations. In Essays in Statistical Science (J. Appl. Prob. Spec. 19A), eds J. Gani and E. J. Hannan, Applied Probability Trust, pp. 27-43.
    • KINGMAN, 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, pp. 27-43.
  • 12
    • 0038896666 scopus 로고    scopus 로고
    • Robustness results for the coalescent
    • MÖHLE, M. (1998). Robustness results for the coalescent. J. Appl. Prob. 35, 438-447.
    • (1998) J. Appl. Prob , vol.35 , pp. 438-447
    • MÖHLE, M.1
  • 13
    • 12144291122 scopus 로고    scopus 로고
    • The time back to the most recent common ancestor in exchangeable population models
    • MÖHLE, M. (2004). The time back to the most recent common ancestor in exchangeable population models. Adv. Appl. Prob. 36, 78-97.
    • (2004) Adv. Appl. Prob , vol.36 , pp. 78-97
    • MÖHLE, M.1
  • 14
    • 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
  • 15
    • 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
  • 16
    • 0023289344 scopus 로고
    • On spreading a rumor
    • PITTEL, B. (1987). On spreading a rumor. SIAM J. Appl. Math. 47, 213-223.
    • (1987) SIAM J. Appl. Math , vol.47 , pp. 213-223
    • PITTEL, B.1
  • 17
    • 0005193926 scopus 로고    scopus 로고
    • Exact sampling with coupled Markov chains and applications to statistical mechanics
    • PROPP, J. G. AND WILSON, D. B. (1996). Exact sampling with coupled Markov chains and applications to statistical mechanics. Random Structures Algorithms 9, 223-252.
    • (1996) Random Structures Algorithms , vol.9 , pp. 223-252
    • PROPP, J.G.1    WILSON, D.B.2
  • 18
    • 0000162904 scopus 로고    scopus 로고
    • How to get a perfectly random sample from a generic Markov chain and generate a random spanning tree of a directed graph
    • PROPP, J. G. AND WILSON, D. B. (1998). How to get a perfectly random sample from a generic Markov chain and generate a random spanning tree of a directed graph. J. Algorithms 27, 170-217.
    • (1998) J. Algorithms , vol.27 , pp. 170-217
    • PROPP, J.G.1    WILSON, D.B.2
  • 19
    • 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
  • 20
    • 0001885968 scopus 로고    scopus 로고
    • Coalescents with simultaneous multiple collisions
    • 50 pp
    • SCHWEINSBERG, J. (2000). Coalescents with simultaneous multiple collisions. Electron. J. Prob. 5, 50 pp.
    • (2000) Electron. J. Prob , vol.5
    • SCHWEINSBERG, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.