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Volumn 18, Issue 1, 2001, Pages 39-60

Compound poisson approximations of subgraph counts in random graphs

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EID: 0035529273     PISSN: 10429832     EISSN: None     Source Type: Journal    
DOI: 10.1002/1098-2418(200101)18:1<39::AID-RSA4>3.0.CO;2-B     Document Type: Article
Times cited : (10)

References (11)
  • 1
    • 84974399434 scopus 로고
    • Poisson convergence and random graphs
    • A.D. Barbour, Poisson convergence and random graphs, Math Proc Cambridge Math Soc 92 (1982), 349-359.
    • (1982) Math Proc Cambridge Math Soc , vol.92 , pp. 349-359
    • Barbour, A.D.1
  • 2
    • 0000549988 scopus 로고
    • Compound poisson approximation for nonnegative random variables via Stein's method
    • A.D. Barbour, L.H.Y. Chen, and W-L. Loh, Compound Poisson approximation for nonnegative random variables via Stein's method, Ann Probab 20 (1992), 1843-1866.
    • (1992) Ann Probab , vol.20 , pp. 1843-1866
    • Barbour, A.D.1    Chen, L.H.Y.2    Loh, W.-L.3
  • 4
    • 0000150105 scopus 로고    scopus 로고
    • Solving the Stein equation in compound poisson approximation
    • A.D. Barbour and S. Utev, Solving the Stein equation in compound Poisson approximation, Adv Appl Probab 30 (1998), 449-475.
    • (1998) Adv Appl Probab , vol.30 , pp. 449-475
    • Barbour, A.D.1    Utev, S.2
  • 6
    • 0024787242 scopus 로고
    • Subgraph counts and containment probabilities of balanced and unbalanced subgraphs in a large random graph
    • B. Bollobás and J. Wierman, Subgraph counts and containment probabilities of balanced and unbalanced subgraphs in a large random graph, Ann New York Acad Sei 576 (1989), 63-70.
    • (1989) Ann New York Acad Sei , vol.576 , pp. 63-70
    • Bollobás, B.1    Wierman, J.2
  • 7
    • 0033244644 scopus 로고    scopus 로고
    • Compound poisson approximation for Markov chains using Stein's method
    • T. Erhardsson, Compound Poisson approximation for Markov chains using Stein's method, Ann Probab 27 (1999), 565-596.
    • (1999) Ann Probab , vol.27 , pp. 565-596
    • Erhardsson, T.1
  • 9
    • 0000816829 scopus 로고
    • Stein's method for compound poisson approximation: The local approach
    • M. Roos, Stein's method for compound Poisson approximation: the local approach, Ann Appl Probab 4 (1994), 1177-1187.
    • (1994) Ann Appl Probab , vol.4 , pp. 1177-1187
    • Roos, M.1
  • 11
    • 0007470024 scopus 로고
    • Balanced graphs and the problem of subgraphs of random graphs
    • A. Ruciński and A. Vince, Balanced graphs and the problem of subgraphs of random graphs, Congr Numer 49 (1985), 181-190.
    • (1985) Congr Numer , vol.49 , pp. 181-190
    • Ruciński, A.1    Vince, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.