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Volumn 135, Issue 4, 2006, Pages 576-602

Asymptotic laws for regenerative compositions: Gamma subordinators and the like

Author keywords

Composition; Logarithmic singularity; Occupancy problem; Regenerative set

Indexed keywords


EID: 33646747630     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00440-005-0473-0     Document Type: Article
Times cited : (27)

References (19)
  • 1
    • 33646745427 scopus 로고
    • Asymptotic expansions of integrals with oscillatory kernels and logarithmic singularities
    • Armstrong, J.A., Bleistein, N.: Asymptotic expansions of integrals with oscillatory kernels and logarithmic singularities. SIAM J. Math. Anal. 11, 300-307 (1980)
    • (1980) SIAM J. Math. Anal. , vol.11 , pp. 300-307
    • Armstrong, J.A.1    Bleistein, N.2
  • 4
    • 8744268149 scopus 로고    scopus 로고
    • Some transformations of Hausdorff moment sequences and harmonic numbers
    • C. Berg and A.J. Duran: Some transformations of Hausdorff moment sequences and harmonic numbers. Ark Math. 42: 239-257, (2004).
    • (2004) Ark Math. , vol.42 , pp. 239-257
    • Berg, C.1    Duran, A.J.2
  • 7
    • 0029326388 scopus 로고
    • Mellin transforms and asymptotics: Harmonic sums
    • Flajolet, P., Gourdon, X., Dumas, P.: Mellin transforms and asymptotics: harmonic sums. Theoret. Comput. Sci. 144, 3-58 (1995)
    • (1995) Theoret. Comput. Sci. , vol.144 , pp. 3-58
    • Flajolet, P.1    Gourdon, X.2    Dumas, P.3
  • 8
    • 0031526261 scopus 로고    scopus 로고
    • The representation of composition structures
    • Gnedin, A.V.: The representation of composition structures. Ann. Probab. 25, 1437-1450 (1997)
    • (1997) Ann. Probab. , vol.25 , pp. 1437-1450
    • Gnedin, A.V.1
  • 9
    • 17044432492 scopus 로고    scopus 로고
    • The Bernoulli sieve
    • Gnedin, A.V.: The Bernoulli sieve. Bernoulli 10, 79-96 (2004)
    • (2004) Bernoulli , vol.10 , pp. 79-96
    • Gnedin, A.V.1
  • 11
    • 17044405972 scopus 로고    scopus 로고
    • Regenerative composition structures
    • Gnedin, A.V., Pitman, J.: Regenerative composition structures. Ann. Probab. 33, 445-479 (2005)
    • (2005) Ann. Probab. , vol.33 , pp. 445-479
    • Gnedin, A.V.1    Pitman, J.2
  • 12
    • 13444306325 scopus 로고    scopus 로고
    • Regenerative partition structures
    • Research Paper 12
    • Gnedin, A.V., Pitman, J.: Regenerative partition structures. Electron. J. Combin. 11, Research Paper 12, 21 pp. 2004/05
    • (2004) Electron. J. Combin. , vol.11
    • Gnedin, A.V.1    Pitman, J.2
  • 13
    • 33646755005 scopus 로고    scopus 로고
    • Asymptotic laws for compositions derived from transformed subordinators
    • to appear, available at arXiv:math. PR/0403438
    • Gnedin, A.V., Pitman, J., Yor, M.: Asymptotic laws for compositions derived from transformed subordinators. Ann. Probab. 2005 (to appear, available at arXiv:math. PR/0403438)
    • (2005) Ann. Probab.
    • Gnedin, A.V.1    Pitman, J.2    Yor, M.3
  • 14
    • 0039077680 scopus 로고
    • Central limit theorems for certain infinite urn schemes
    • Karlin, S.: Central limit theorems for certain infinite urn schemes, J. Math. Mech. 17, 373-401 (1967)
    • (1967) J. Math. Mech. , vol.17 , pp. 373-401
    • Karlin, S.1
  • 15
    • 4544355251 scopus 로고    scopus 로고
    • On the contraction method with degenerate limit equation
    • Neininger, R., Rüschendorf, L.: On the contraction method with degenerate limit equation. Ann. Prob. 32, 2838-2856 (2004)
    • (2004) Ann. Prob. , vol.32 , pp. 2838-2856
    • Neininger, R.1    Rüschendorf, L.2
  • 16
    • 0242641721 scopus 로고    scopus 로고
    • Combinatorial stochastic processes
    • Lecture notes for St. Flour course (July 2002), (available via www.stat.berkeley.edu)
    • Pitman, J.: Combinatorial stochastic processes. Lecture notes for St. Flour course (July 2002), Springer Lecture Notes Math. 2005. (available via www.stat.berkeley.edu)
    • (2005) Springer Lecture Notes Math.
    • Pitman, J.1
  • 17
    • 8344263101 scopus 로고    scopus 로고
    • Compositions and patricia tries: No fluctuations in the variance!
    • L. Arge et al (eds). SIAM
    • Prodinger, H.: Compositions and patricia tries: no fluctuations in the variance! Proc. 6th Workshop on ALLNEX and 1st Workshop on ANALCO, L. Arge et al (eds). SIAM, pp. 211-215
    • Proc. 6th Workshop on ALLNEX and 1st Workshop on ANALCO , pp. 211-215
    • Prodinger, H.1
  • 18
    • 0037959953 scopus 로고    scopus 로고
    • Infinitely divisible laws associated with hyperbolic functions
    • Pitman, J., Yor, M.: Infinitely divisible laws associated with hyperbolic functions. Canad. J. Math. 55 (581). 292-330 (2003)
    • (2003) Canad. J. Math. , vol.55 , Issue.581 , pp. 292-330
    • Pitman, J.1    Yor, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.