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Volumn 215, Issue 1-2, 1999, Pages 371-381

Singularity analysis and asymptotics of Bernoulli sums

Author keywords

Analysis of algorithms; Analytic information theory; Bernoulli variables; Entropy estimation; Singularity analysis

Indexed keywords


EID: 0007554179     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3975(98)00220-5     Document Type: Article
Times cited : (83)

References (15)
  • 2
    • 0030304083 scopus 로고    scopus 로고
    • On the distribution of binary search trees under the random permutation model
    • J.A. Fill, On the distribution of binary search trees under the random permutation model, Random Struc. Algorithms 8 (1996) (1) 1-25.
    • (1996) Random Struc. Algorithms , vol.8 , Issue.1 , pp. 1-25
    • Fill, J.A.1
  • 3
    • 0029326388 scopus 로고
    • Mellin transforms and asymptotics: Harmonic sums
    • P. Flajolet, X. Gourdon, P. Dumas, Mellin transforms and asymptotics: harmonic sums, Theoret. Compu. Sci. 144 (1995) (1-2) 3-58.
    • (1995) Theoret. Compu. Sci. , vol.144 , Issue.1-2 , pp. 3-58
    • Flajolet, P.1    Gourdon, X.2    Dumas, P.3
  • 4
    • 0000640693 scopus 로고
    • Singularity analysis of generating functions
    • P. Flajolet, A.M. Odlyzko, Singularity analysis of generating functions, SIAM J. Discrete Math. 3 (1990) (2) 216-240.
    • (1990) SIAM J. Discrete Math. , vol.3 , Issue.2 , pp. 216-240
    • Flajolet, P.1    Odlyzko, A.M.2
  • 7
    • 0002560302 scopus 로고    scopus 로고
    • Analytical depoissonization and its applications
    • In print, 67 pp.
    • P. Jacquet, W. Szpankowski, Analytical depoissonization and its applications, Theoret. Comput. Sci. (1998); In print, 67 pp.
    • (1998) Theoret. Comput. Sci.
    • Jacquet, P.1    Szpankowski, W.2
  • 8
    • 0041352527 scopus 로고    scopus 로고
    • Integral representations and asymptotic expansions for Shannon and Renyi entropies
    • C. Knessel, Integral representations and asymptotic expansions for Shannon and Renyi entropies, Appl. Mathe. Lett. 11 (1998) (2) 69-74.
    • (1998) Appl. Mathe. Lett. , vol.11 , Issue.2 , pp. 69-74
    • Knessel, C.1
  • 9
    • 84966223881 scopus 로고
    • A recurrence related to trees
    • D.E. Knuth, B. Pittel, A recurrence related to trees, Proc. Amer. Math. Soc. 105 (1989) (2) 335-349.
    • (1989) Proc. Amer. Math. Soc. , vol.105 , Issue.2 , pp. 335-349
    • Knuth, D.E.1    Pittel, B.2
  • 10
    • 0031675931 scopus 로고    scopus 로고
    • Laplace's law of succession and universal encoding
    • R.E. Krichevskiy, Laplace's law of succession and universal encoding, IEEE Trans. Inform. Theory 44 (1998) (1) 296-303.
    • (1998) IEEE Trans. Inform. Theory , vol.44 , Issue.1 , pp. 296-303
    • Krichevskiy, R.E.1
  • 12
    • 25744441734 scopus 로고
    • publiée sous la direction de M. Émile Borel, Gauthier-Villars, Paris, Reprinted by Gabay, Paris, 1989
    • E. Lindelöf, Collection de monographies sur la théorie des fonctions, publiée sous la direction de M. Émile Borel, Gauthier-Villars, Paris, 1905, Reprinted by Gabay, Paris, 1989.
    • (1905) Collection de Monographies sur la Théorie des Fonctions
    • Lindelöf, E.1
  • 13
    • 0032350040 scopus 로고    scopus 로고
    • On the log-product of subtree-sizes in random trees
    • A. Meir, J.W. Moon, On the log-product of subtree-sizes in random trees, Random Struc. Algorithms 12 (1998) (2) 197-212.
    • (1998) Random Struc. Algorithms , vol.12 , Issue.2 , pp. 197-212
    • Meir, A.1    Moon, J.W.2
  • 14
    • 0000278117 scopus 로고
    • Asymptotic enumeration methods
    • R. Graham, M. Grötschel, L. Lovász (Eds.), Amsterdam, Elsevier, Amsterdam
    • A.M. Odlyzko, Asymptotic enumeration methods, in: R. Graham, M. Grötschel, L. Lovász (Eds.), Handbook of Combinatorics (Amsterdam), vol. II, Elsevier, Amsterdam, 1995, pp. 1063-1229.
    • (1995) Handbook of Combinatorics , vol.2 , pp. 1063-1229
    • Odlyzko, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.