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Volumn 6, Issue 3, 1996, Pages 703-714

Binomial approximation for dependent indicators

Author keywords

Binomial distribution; Coupling; Indicators; Stein's method; Total variation distance

Indexed keywords


EID: 21444438740     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (53)

References (13)
  • 1
    • 84972496740 scopus 로고
    • Poisson approximation and the Chen-Stein method (with discussion)
    • Arratia, R., Goldstein, L. and Gordon, L. (1990). Poisson approximation and the Chen-Stein method (with discussion). Statist. Sci. 5, 403-424.
    • (1990) Statist. Sci. , vol.5 , pp. 403-424
    • Arratia, R.1    Goldstein, L.2    Gordon, L.3
  • 2
    • 0001077489 scopus 로고
    • Stein's method and Poisson process convergence
    • Barbour, A. D. (1988). Stein's method and Poisson process convergence. J. Appl. Probab. Special Volume 25A, 175-184.
    • (1988) J. Appl. Probab. Special , vol.25 A , pp. 175-184
    • Barbour, A.D.1
  • 3
    • 0000499854 scopus 로고
    • Stein's method for diffusion approximations
    • Barbour, A. D. (1990). Stein's method for diffusion approximations. Probab. Theory Related Fields 84, 297-322.
    • (1990) Probab. Theory Related Fields , vol.84 , pp. 297-322
    • Barbour, A.D.1
  • 5
    • 0000549988 scopus 로고
    • Compound Poisson approximation for nonnegative random variables via Stein's method
    • Barbour, A. D., Chen, L. H. Y. and Loh, W.-L. (1992). Compound Poisson approximation for nonnegative random variables via Stein's method. Ann. Probab. 20, 1843-1866.
    • (1992) Ann. Probab. , vol.20 , pp. 1843-1866
    • Barbour, A.D.1    Chen, L.H.Y.2    Loh, W.-L.3
  • 7
    • 17844398053 scopus 로고
    • On the convergence of Poisson binomial to Poisson distributions
    • Chen, L. H. Y. (1974). On the convergence of Poisson binomial to Poisson distributions. Ann. Probab. 2, 178-180.
    • (1974) Ann. Probab. , vol.2 , pp. 178-180
    • Chen, L.H.Y.1
  • 8
    • 0001067389 scopus 로고
    • Poisson approximation for dependent trials
    • Chen, L. H. Y. (1975). Poisson approximation for dependent trials. Ann. Probab. 3, 534-545.
    • (1975) Ann. Probab. , vol.3 , pp. 534-545
    • Chen, L.H.Y.1
  • 9
    • 0003014023 scopus 로고
    • Binomial approximation to the Poisson binomial distribution
    • Ehm, W. (1991). Binomial approximation to the Poisson binomial distribution. Statist, & Probab. Lett. 11, 7-16.
    • (1991) Statist, & Probab. Lett. , vol.11 , pp. 7-16
    • Ehm, W.1
  • 10
    • 0001354702 scopus 로고
    • On the rate of convergence in the multivariate CLT
    • Götze, F. (1991). On the rate of convergence in the multivariate CLT. Ann. Probab. 19, 724-739.
    • (1991) Ann. Probab. , vol.19 , pp. 724-739
    • Götze, F.1
  • 11
    • 0001467526 scopus 로고
    • Stein's method and multinomial approximation
    • Loh, W.-L. (1992). Stein's method and multinomial approximation. Ann. Appl. Probab. 2, 536-554.
    • (1992) Ann. Appl. Probab. , vol.2 , pp. 536-554
    • Loh, W.-L.1
  • 12
    • 0000457248 scopus 로고
    • A bound for the error in the normal approximation to the distribution of a sum of dependent random variables
    • Univ. California Press, Berkeley, CA
    • Stein, C. M. (1972). A bound for the error in the normal approximation to the distribution of a sum of dependent random variables. Proc. Sixth Berkeley Symp. Math. Statist. Probab. 2, 583-602. Univ. California Press, Berkeley, CA.
    • (1972) Proc. Sixth Berkeley Symp. Math. Statist. Probab. , vol.2 , pp. 583-602
    • Stein, C.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.