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Volumn , Issue , 2000, Pages 41-62

Applications of compound poisson approximation

Author keywords

Compound Poisson approximation; Sequence comparison; Stein s method; Success runs; Word counts

Indexed keywords


EID: 0010486053     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter
Times cited : (9)

References (22)
  • 1
    • 84972496740 scopus 로고
    • Poisson approximation and the Chen-Stein method
    • Arratia, R., Goldstein, L., and Gordon, L. (1990). Poisson approximation and the Chen-Stein method. Statistical Science5, 403-434.
    • (1990) Statistical Science , vol.5 , pp. 403-434
    • Arratia, R.1    Goldstein, L.2    Gordon, L.3
  • 2
    • 85057367003 scopus 로고    scopus 로고
    • Compound Poisson approximation: A user’s guide
    • Barbour, A. D. and Chryssapbinou, O. (1999). Compound Poisson approximation: a user’s guide, preprint.
    • (1999) Preprint
    • Barbour, A.D.1    Chryssapbinou, O.2
  • 3
    • 0000549988 scopus 로고
    • Compound Poisson approximation for nonnegative random variables via Stein’s method
    • Barbour, A. D., Chen, L. H. Y., and Loh, W. (1992). Compound Poisson approximation for nonnegative random variables via Stein’s method. Annals of Probability20, 1843-1866.
    • (1992) Annals of Probability , vol.20 , pp. 1843-1866
    • Barbour, A.D.1    Chen, L.H.Y.2    Loh, W.3
  • 6
    • 0000150105 scopus 로고    scopus 로고
    • Solving the Stein equation in compound Poisson approximation
    • Barbour, A. D. and Utev, S. (1998). Solving the Stein equation in compound Poisson approximation. Advances in Applied Pmbabilily30, 449-475.
    • (1998) Advances in Applied Pmbabilily , vol.30 , pp. 449-475
    • Barbour, A.D.1    Utev, S.2
  • 8
    • 85057413957 scopus 로고    scopus 로고
    • Estimating Stein’s constants for compound Poisson approximation
    • Barbour, A. D. and Xia, A. (1999a). Estimating Stein’s constants for compound Poisson approximation. Bernoulli, to appear.
    • (1999) Bernoulli, to Appear
    • Barbour, A.1    Xia, D.A.2
  • 11
    • 0033432266 scopus 로고    scopus 로고
    • Compound Poisson approximation for dissociated random variables via Stein’s method
    • Eichelsbacher, P. and Roos, M. (1998) Compound Poisson approximation for dissociated random variables via Stein’s method. Combinatorics, Probability and Computing8, 335-346.
    • (1998) Combinatorics, Probability and Computing , vol.8 , pp. 335-346
    • Eichelsbacher, P.1    Roos, M.2
  • 12
    • 0033244644 scopus 로고    scopus 로고
    • Compound Poisson approximation for Markov chains using Stein’s method
    • Erliardsson, T. (1999). Compound Poisson approximation for Markov chains using Stein’s method. Annals of Probability27, 565-596.
    • (1999) Annals of Probability , vol.27 , pp. 565-596
    • Erliardsson, T.1
  • 14
    • 0001043914 scopus 로고
    • An approximation theorem for the Poisson binomial theorem
    • LcCam, L. (1960). An approximation theorem for the Poisson binomial theorem. Pacific Journal of Mathematics10, 1181-1197.
    • (1960) Pacific Journal of Mathematics , vol.10 , pp. 1181-1197
    • Lccam, L.1
  • 16
    • 85057390201 scopus 로고    scopus 로고
    • On compound Poisson approximation for sequence matching
    • Mansson, M. (1999). On compound Poisson approximation for sequence matching, preprint.
    • (1999) Preprint
    • Mansson, M.1
  • 17
    • 17644389210 scopus 로고    scopus 로고
    • A phase transition for the distribution of matching blocks
    • Neuhauser, C. (1996). A phase transition for the distribution of matching blocks. Combinatorics, Probability and Computing5, 139-159.
    • (1996) Combinatorics, Probability and Computing , vol.5 , pp. 139-159
    • Neuhauser, C.1
  • 18
    • 0031902984 scopus 로고    scopus 로고
    • Compound Poisson and Poisson process approximations for occurrences of multiple words in Markov chains
    • Reinert, G., Schbath, S. (1998). Compound Poisson and Poisson process approximations for occurrences of multiple words in Markov chains. Journal of Computational Biology5, 223-253.
    • (1998) Journal of Computational Biology , vol.5 , pp. 223-253
    • Reinert, G.1    Schbath, S.2
  • 19
    • 0003434463 scopus 로고
    • Stein-Chen method for compound Poisson approximation
    • University of Zürich, Switzerland
    • Roos, M. (1993). Stein-Chen method for compound Poisson approximation. PhD thesis, University of Zürich, Switzerland.
    • (1993) Phd Thesis
    • Roos, M.1
  • 20
    • 0000816829 scopus 로고
    • Stein’s method for compound Poisson approximation: The local approach
    • Roos, M. (1994). Stein’s method for compound Poisson approximation: the local approach. Annals of Applied Probability4, 1177-1187.
    • (1994) Annals of Applied Probability , vol.4 , pp. 1177-1187
    • Roos, M.1
  • 21
    • 84996141000 scopus 로고
    • Compound Poisson approximation of word counts in DNA sequences
    • Schbath, S. (1995). Compound Poisson approximation of word counts in DNA sequences. ES AIM Probability and Statistics1, 1-16.
    • (1995) ES AIM Probability and Statistics , vol.1 , pp. 1-16
    • Schbath, S.1
  • 22
    • 0004062749 scopus 로고
    • Addison-Wesley, Reading, MA
    • Wolfram, S. (1988). Mathematica, Addison-Wesley, Reading, MA.
    • (1988) Mathematica
    • Wolfram, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.