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Volumn 34, Issue 4, 1997, Pages 898-907

On the rate of poisson process approximation to a Bernoulli process

Author keywords

Coupling; Immigration death process; Palm distributions; Stein's method

Indexed keywords

BERNOULLI PROCESS; LOGARITHMIC FACTOR; PALM THEORY; STEINS METHOD; WASSERSTEIN DISTANCE;

EID: 0031295398     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0021900200101603     Document Type: Article
Times cited : (6)

References (14)
  • 1
    • 0002005293 scopus 로고
    • Two moments suffice for Poisson approximations: The Chen-Stein method
    • ARRATIA, R., GOLDSTEIN, L. AND GORDON, L. (1989) Two moments suffice for Poisson approximations: The Chen-Stein method. Ann. Prob. 17, 9-25.
    • (1989) Ann. Prob. , vol.17 , pp. 9-25
    • 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. Prob. 25, 175-184.
    • (1988) J. Appl. Prob. , vol.25 , pp. 175-184
    • Barbour, A.D.1
  • 3
    • 38249009426 scopus 로고
    • Stein's method and point process approximation
    • BARBOUR, A. D. AND BROWN, T. C. (1992) Stein's method and point process approximation. Stoch. Proc. Appl. 43, 9-31.
    • (1992) Stoch. Proc. Appl. , vol.43 , pp. 9-31
    • Barbour, A.D.1    Brown, T.C.2
  • 7
    • 0000852592 scopus 로고
    • On metrics in point process approximation
    • BROWN, T. C. AND XIA, A. (1995a) On metrics in point process approximation. Stoch. Stoch. Rep. 52, 247-263.
    • (1995) Stoch. Stoch. Rep. , vol.52 , pp. 247-263
    • Brown, T.C.1    Xia, A.2
  • 8
    • 0010749691 scopus 로고
    • On Stein-Chen factors for Poisson approximation
    • BROWN, T. C. AND XIA, A. (1995b) On Stein-Chen factors for Poisson approximation. Statist. Prob. Lett. 23, 327-332.
    • (1995) Statist. Prob. Lett. , vol.23 , pp. 327-332
    • Brown, T.C.1    Xia, A.2
  • 9
    • 0001067389 scopus 로고
    • Poisson approximation for dependent trials
    • CHEN, L. H. Y. (1975) Poisson approximation for dependent trials. Ann. Prob. 3, 534-545.
    • (1975) Ann. Prob. , vol.3 , pp. 534-545
    • Chen, L.H.Y.1
  • 14
    • 0001662944 scopus 로고
    • The Monge-Kantorovich mass transference problem and its stochastic applications
    • RACHEV, S. T. (1984) The Monge-Kantorovich mass transference problem and its stochastic applications. Theory Prob. Appl. 29, 647-676.
    • (1984) Theory Prob. Appl. , vol.29 , pp. 647-676
    • Rachev, S.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.