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Volumn 34, Issue 6, 2006, Pages 2203-2218

Recursive partition structures

Author keywords

Dirichlet distribution; Partition structure; Recursive construction

Indexed keywords


EID: 33947510925     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/009117906000000584     Document Type: Article
Times cited : (6)

References (26)
  • 1
    • 33947509722 scopus 로고    scopus 로고
    • ARRATIA, R., BARBOUR, A. D. and TAVARE, T. (2003). Logarithmic Combinatorial Structures: A Probabilistic Approach. EMS, Zürich. MR2032426
    • ARRATIA, R., BARBOUR, A. D. and TAVARE, T. (2003). Logarithmic Combinatorial Structures: A Probabilistic Approach. EMS, Zürich. MR2032426
  • 2
    • 33745049870 scopus 로고    scopus 로고
    • Regenerative compositions in the case of slow variation
    • MR2238612
    • BARBOUR, A. D. and GNEDIN, A. V. (2006). Regenerative compositions in the case of slow variation. Stochastic Process. Appl. 116 1012-1047. MR2238612
    • (2006) Stochastic Process. Appl , vol.116 , pp. 1012-1047
    • BARBOUR, A.D.1    GNEDIN, A.V.2
  • 3
    • 33947514027 scopus 로고    scopus 로고
    • BERTOIN, J. (2006). Random Fragmentation and Coagulation Processes. Cambridge Univ. Press. MR2253162
    • BERTOIN, J. (2006). Random Fragmentation and Coagulation Processes. Cambridge Univ. Press. MR2253162
  • 4
    • 0002244969 scopus 로고
    • Martingale convergence in the branching random walk
    • MR0433619
    • BIGGINS, J. D. (1977). Martingale convergence in the branching random walk. J. Appl. Probab. 14 25-37. MR0433619
    • (1977) J. Appl. Probab , vol.14 , pp. 25-37
    • BIGGINS, J.D.1
  • 5
    • 0029325565 scopus 로고
    • Mellin transforms and asymptotics: Finite differences and Rice's integrals
    • MR1337755
    • FLAJOLET, P. and SEDGEWICK, R. (1995). Mellin transforms and asymptotics: Finite differences and Rice's integrals. Theoret. Comput. Sci. 144 101-124. MR1337755
    • (1995) Theoret. Comput. Sci , vol.144 , pp. 101-124
    • FLAJOLET, P.1    SEDGEWICK, R.2
  • 6
    • 17044432492 scopus 로고    scopus 로고
    • The Bernoulli sieve
    • MR2044594
    • GNEDIN, A. V. (2004). The Bernoulli sieve. Bernoulli 10 79-96. MR2044594
    • (2004) Bernoulli , vol.10 , pp. 79-96
    • GNEDIN, A.V.1
  • 7
    • 17044405972 scopus 로고    scopus 로고
    • Regenerative composition structures
    • MR2122798
    • GNEDIN, A. and PITMAN, J. (2005). Regenerative composition structures. Ann. Probab. 33 445-479. MR2122798
    • (2005) Ann. Probab , vol.33 , pp. 445-479
    • GNEDIN, A.1    PITMAN, J.2
  • 8
    • 33947512205 scopus 로고    scopus 로고
    • GNEDIN, A. and PITMAN, J. (2004/05). Regenerative partition structures. Electron. J. Combin. 11 Research Paper 12, 21 pp. (electronic). MR2120107
    • GNEDIN, A. and PITMAN, J. (2004/05). Regenerative partition structures. Electron. J. Combin. 11 Research Paper 12, 21 pp. (electronic). MR2120107
  • 10
    • 33947535843 scopus 로고    scopus 로고
    • Teor. Predst. Din. Sist. Komb. i Algoritm. Melody 13 59-84, 280-281. MR2183216
    • Teor. Predst. Din. Sist. Komb. i Algoritm. Melody 13 59-84, 280-281. MR2183216
  • 11
    • 33744795907 scopus 로고    scopus 로고
    • Asymptotic laws for compositions derived from transformed subordinators
    • MR2223948
    • GNEDIN, A., PITMAN, J. and YOR, M. (2006). Asymptotic laws for compositions derived from transformed subordinators. Ann. Probab. 34 468-492. MR2223948
    • (2006) Ann. Probab , vol.34 , pp. 468-492
    • GNEDIN, A.1    PITMAN, J.2    YOR, M.3
  • 12
    • 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
  • 13
    • 4644286698 scopus 로고    scopus 로고
    • Elementary fixed points of the BRW smoothing transforms with infinite number of summands
    • MR2094146
    • IKSANOV, A. (2004). Elementary fixed points of the BRW smoothing transforms with infinite number of summands. Stochastic Process. Appl. 114 27-50. MR2094146
    • (2004) Stochastic Process. Appl , vol.114 , pp. 27-50
    • IKSANOV, A.1
  • 14
    • 33947541278 scopus 로고    scopus 로고
    • JAGERS, P. (1975). Branching Processes with Biological Applications. Wiley, London. MR0488341
    • JAGERS, P. (1975). Branching Processes with Biological Applications. Wiley, London. MR0488341
  • 15
    • 33947547562 scopus 로고    scopus 로고
    • JOHNSON, N. L. and KOTZ, S. (1972). Continuous Multivariate Distributions. Wiley, New York. MR0418337
    • JOHNSON, N. L. and KOTZ, S. (1972). Continuous Multivariate Distributions. Wiley, New York. MR0418337
  • 16
    • 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
  • 17
    • 84927129559 scopus 로고
    • The representation of partition structures
    • MR0509954
    • KINGMAN, J. F. C. (1978). The representation of partition structures. J. London Math. Soc. 18 374-380. MR0509954
    • (1978) J. London Math. Soc , vol.18 , pp. 374-380
    • KINGMAN, J.F.C.1
  • 18
    • 0008984822 scopus 로고    scopus 로고
    • A simple path to Biggins' martingale convergence for branching random walk
    • K. Athreya and P. Jagers, eds, Springer, New York. MR 1601749
    • LYONS, R. (1997). A simple path to Biggins' martingale convergence for branching random walk. In Classical and Modern Branching Processes (K. Athreya and P. Jagers, eds.) 217-222. Springer, New York. MR 1601749
    • (1997) Classical and Modern Branching Processes , pp. 217-222
    • LYONS, R.1
  • 19
    • 0006799223 scopus 로고
    • Random recursive constructions: Asymptotic geometric and topological properties
    • MR0831202
    • MAULDIN, R. D. and WILLIAMS, S. C. (1986). Random recursive constructions: Asymptotic geometric and topological properties. Trans. Amer. Math. Soc. 295 325-346. MR0831202
    • (1986) Trans. Amer. Math. Soc , vol.295 , pp. 325-346
    • MAULDIN, R.D.1    WILLIAMS, S.C.2
  • 20
    • 0001491884 scopus 로고
    • On the convergence of supercritical general (C-M-J) branching processes
    • MR0629532
    • NERMAN, O. (1981). On the convergence of supercritical general (C-M-J) branching processes. Z. Wahrsch. Verw. Gebiete 57 365-395. MR0629532
    • (1981) Z. Wahrsch. Verw. Gebiete , vol.57 , pp. 365-395
    • NERMAN, O.1
  • 21
    • 21844504293 scopus 로고
    • Exchangeable and partially exchangeable random partitions
    • MR 1337249
    • PITMAN, J. (1995). Exchangeable and partially exchangeable random partitions. Probab. Theory Related Fields 102 145-158. MR 1337249
    • (1995) Probab. Theory Related Fields , vol.102 , pp. 145-158
    • PITMAN, J.1
  • 22
    • 85132282134 scopus 로고    scopus 로고
    • Partition structures derived from Brownian motion and stable subordinators
    • MR 1466546
    • PITMAN, J. (1997). Partition structures derived from Brownian motion and stable subordinators. Bernoulli 3 79-96. MR 1466546
    • (1997) Bernoulli , vol.3 , pp. 79-96
    • PITMAN, J.1
  • 23
    • 33947536996 scopus 로고    scopus 로고
    • PITMAN, J. (2005). Combinatorial Stochastic Processes. Springer, Berlin. MR2245368
    • PITMAN, J. (2005). Combinatorial Stochastic Processes. Springer, Berlin. MR2245368
  • 24
    • 0031534984 scopus 로고    scopus 로고
    • The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator
    • MR1434129
    • PITMAN, J. and YOR, M. (1997). The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator. Ann. Probab. 25 855-900. MR1434129
    • (1997) Ann. Probab , vol.25 , pp. 855-900
    • PITMAN, J.1    YOR, M.2
  • 25
    • 0009425346 scopus 로고    scopus 로고
    • PITMAN, J. and YOR, M. (1996). Random discrete distributions derived from self-similar random sets. Electron. J. Probab. 1 MR1386296
    • PITMAN, J. and YOR, M. (1996). Random discrete distributions derived from self-similar random sets. Electron. J. Probab. 1 MR1386296
  • 26
    • 0002015483 scopus 로고    scopus 로고
    • The contraction method for recursive algorithms
    • MR1887296
    • RÖSLER, U. and RÜSCHENDORF, L. (2001). The contraction method for recursive algorithms. Algorithmica 29 3-33. MR1887296
    • (2001) Algorithmica , vol.29 , pp. 3-33
    • RÖSLER, U.1    RÜSCHENDORF, L.2


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