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Volumn 6, Issue 2, 1996, Pages 545-560

Poisson approximation for point processes via monotone couplings

Author keywords

Cox process; Monotone couplings; NBU; NWU renewal processes; Poisson approximation

Indexed keywords


EID: 0030523783     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1034968143     Document Type: Article
Times cited : (3)

References (15)
  • 1
    • 0002005293 scopus 로고
    • Two moments suffice for Poisson approximation: The Chen-Stein method
    • ARRATIA, R., GOLDSTEIN, L. and GORDON, L. (1989). Two moments suffice for Poisson approximation: the Chen-Stein method. Ann. Probab. 17 9-25.
    • (1989) Ann. Probab. , vol.17 , pp. 9-25
    • Arratia, R.1    Goldstein, L.2    Gordon, L.3
  • 2
    • 0040549173 scopus 로고
    • Palm Probabilities and Stationary Queues
    • Springer, Berlin
    • BACCELLI, F. and BRÉMAUD, P. (1987). Palm Probabilities and Stationary Queues. Lecture Notes in Statist. 41. Springer, Berlin.
    • (1987) Lecture Notes in Statist. , vol.41
    • Baccelli, F.1    Brémaud, P.2
  • 3
    • 0000428723 scopus 로고
    • The Stein-Chen method, point processes and compensators
    • BARBOUR, A. D. and BROWN, T. C. (1992). The Stein-Chen method, point processes and compensators. Ann. Probab. 20 1504-1527.
    • (1992) Ann. Probab. , vol.20 , pp. 1504-1527
    • Barbour, A.D.1    Brown, T.C.2
  • 4
    • 0030517313 scopus 로고    scopus 로고
    • Approximate versions of Melamed's theorem
    • BARBOUR, A. D. and BROWN, T. C. (1996). Approximate versions of Melamed's theorem. J. Appl. Probab. 33 472-489.
    • (1996) J. Appl. Probab. , vol.33 , pp. 472-489
    • Barbour, A.D.1    Brown, T.C.2
  • 9
    • 0000376886 scopus 로고
    • Bounds, inequalities, and monotonicity properties for some specialized renewal processes
    • BROWN, M. (1980). Bounds, inequalities, and monotonicity properties for some specialized renewal processes. Ann. Probab. 8 227-240.
    • (1980) Ann. Probab. , vol.8 , pp. 227-240
    • Brown, M.1
  • 10
    • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.