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Volumn 15, Issue 3, 2009, Pages 829-845

On the number of collisions in beta(2, b)-coalescents

Author keywords

Asymptotics of moments; Beta coalescent; Number of collisions; Random regenerative composition; Recursion with random indices

Indexed keywords


EID: 72549092905     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.3150/09-BEJ192     Document Type: Article
Times cited : (12)

References (17)
  • 2
    • 52949134472 scopus 로고    scopus 로고
    • Asymptotic results on the length of coalescent trees
    • MR2418236
    • Delmas, J.-F., Dhersin, J.-S. and Siri-Jegousse, A. (2008). Asymptotic results on the length of coalescent trees. Ann. Appl. Probab. 18 997-1025. MR2418236
    • (2008) Ann. Appl. Probab , vol.18 , pp. 997-1025
    • Delmas, J.-F.1    Dhersin, J.-S.2    Siri-Jegousse, A.3
  • 3
    • 33847619112 scopus 로고    scopus 로고
    • Asymptotic results concerning the total branch length of the bolthausen-sznitman coalescent
    • MR2353033
    • Drmota, M., Iksanov, A., Moehle, M. and Roesler, U. (2007). Asymptotic results concerning the total branch length of the Bolthausen-Sznitman coalescent. Stochastic Process. Appl. 117 1404-1421. MR2353033
    • (2007) Stochastic Process. Appl. , vol.117 , pp. 1404-1421
    • Drmota, M.1    Iksanov, A.2    Moehle, M.3    Roesler, U.4
  • 4
    • 67649103832 scopus 로고    scopus 로고
    • A limiting distribution for the number of cuts needed to isolate the root of a random recursive tree
    • Drmota, M., Iksanov, A., Moehle, M. and Roesler, U. (2009). A limiting distribution for the number of cuts needed to isolate the root of a random recursive tree. Random Structures Algorithms 34 319-336.
    • (2009) Random Structures Algorithms , vol.34 , pp. 319-336
    • Drmota, M.1    Iksanov, A.2    Moehle, M.3    Roesler, U.4
  • 5
    • 42049104314 scopus 로고    scopus 로고
    • Notes on the occupancy problem with infinitely many boxes: General asymptotics and power laws
    • MR2318403
    • Gnedin, A., Hansen, B. and Pitman, J. (2007). Notes on the occupancy problem with infinitely many boxes: General asymptotics and power laws. Probab. Surv. 4 146-171. MR2318403
    • (2007) Probab. Surv , vol.4 , pp. 146-171
    • Gnedin, A.1    Hansen, B.2    Pitman, J.3
  • 6
    • 58449107332 scopus 로고    scopus 로고
    • On asymptotics of exchangeable coalescents with multiple collisions
    • MR2484170
    • Gnedin, A., Iksanov, A. and Mohle, M. (2008). On asymptotics of exchangeable coalescents with multiple collisions. J. Appl. Probab. 45 1186-1195. MR2484170
    • (2008) J. Appl. Probab , vol.45 , pp. 1186-1195
    • Gnedin, A.1    Iksanov, A.2    Mohle, M.3
  • 7
    • 33646747630 scopus 로고    scopus 로고
    • Asymptotic laws for regenerative compositions: Gamma subordinators and the like
    • MR2240701
    • Gnedin, A., Pitman, J. and Yor, M. (2006). Asymptotic laws for regenerative compositions: Gamma subordinators and the like. Probab. Theory Related Fields 135 576-602. MR2240701
    • (2006) Probab. Theory Related Fields , vol.135 , pp. 576-602
    • Gnedin, A.1    Pitman, J.2    Yor, M.3
  • 8
    • 37449014727 scopus 로고    scopus 로고
    • On the number of collisions in λ-coalescents
    • MR2365877
    • Gnedin, A. and Yakubovich, Y. (2007). On the number of collisions in Λ-coalescents. Electron. J. Probab. 12 1547-1567. MR2365877
    • (2007) Electron. J. Probab , vol.12 , pp. 1547-1567
    • Gnedin, A.1    Yakubovich, Y.2
  • 9
    • 33847621768 scopus 로고    scopus 로고
    • A probabilistic proof of a weak limit law for the number of cuts needed to isolate the root of a random recursive tree
    • MR2407414
    • Iksanov, A. and Möhle, M. (2007). A probabilistic proof of a weak limit law for the number of cuts needed to isolate the root of a random recursive tree. Electron. Comm. Probab. 12 28-35. MR2407414
    • (2007) Electron. Comm. Probab , vol.12 , pp. 28-35
    • Iksanov, A.1    Möhle, M.2
  • 10
    • 44649151115 scopus 로고    scopus 로고
    • On the number of jumps of random walks with a barrier
    • MR2411821
    • Iksanov, A. and Möhle, M. (2008). On the number of jumps of random walks with a barrier. Adv. Appl. Probab. 40 206-228. MR2411821
    • (2008) Adv. Appl. Probab , vol.40 , pp. 206-228
    • Iksanov, A.1    Möhle, M.2
  • 11
    • 0039077680 scopus 로고
    • Central limit theorems for certain infinite urn schemes
    • MR0216548
    • Karlin, S. (1967). Central limit theorems for certain infinite urn schemes. J. Math. Mech. 17 373-401. MR0216548
    • (1967) J. Math. Mech , vol.17 , pp. 373-401
    • Karlin, S.1
  • 12
    • 84927129559 scopus 로고
    • The representation of partition structures
    • MR0509954
    • Kingman, J. F. C. (1978). The representation of partition structures. J. London Math. Soc. (2) 18 374-380. MR0509954
    • (1978) J. London Math. Soc. , vol.18 , Issue.2 , pp. 374-380
    • Kingman, J.F.C.1
  • 13
    • 4544355251 scopus 로고    scopus 로고
    • On the contraction method with degenerate limit equation
    • MR2078559
    • Neininger, R. and Rüschendorf, L. (2004). On the contraction method with degenerate limit equation. Ann. Probab. 32 2838-2856. MR2078559
    • (2004) Ann. Probab , vol.32 , pp. 2838-2856
    • Neininger, R.1    Rüschendorf, L.2
  • 14
    • 23244452843 scopus 로고    scopus 로고
    • Destruction of recursive trees
    • Basel: Birkhäuser. MR2090518
    • Panholzer, A. (2004). Destruction of recursive trees. In: Mathematics and Computer Science III 267-280. Basel: Birkhäuser. MR2090518
    • (2004) Mathematics and Computer Science , vol.3 , pp. 267-280
    • Panholzer, A.1
  • 15
    • 0033233681 scopus 로고    scopus 로고
    • Coalescents with multiple collisions
    • MR 1742892
    • Pitman, J. (1999). Coalescents with multiple collisions. Ann. Probab. 27 1870-1902. MR 1742892
    • (1999) Ann. Probab , vol.27 , pp. 1870-1902
    • Pitman, J.1
  • 16
    • 0001791777 scopus 로고
    • On interchanging limits and integrals
    • MR0123673
    • Pratt, J. W. (1960). On interchanging limits and integrals. Ann. Math. Statist. 31 74-77. MR0123673
    • (1960) Ann. Math. Statist , vol.31 , pp. 74-77
    • Pratt, J.W.1
  • 17
    • 0033233843 scopus 로고    scopus 로고
    • The general coalescent with asynchronous mergers of ancestral lines
    • MR1742154
    • Sagitov, S. (1999). The general coalescent with asynchronous mergers of ancestral lines. J. Appl. Probab. 36 1116-1125. MR1742154
    • (1999) J. Appl. Probab , vol.36 , pp. 1116-1125
    • Sagitov, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.