메뉴 건너뛰기




Volumn 32, Issue 1, 2000, Pages 75-85

Poisson limits for pairwise and area interaction point processes

Author keywords

Area interaction process; Gibbs distribution; Limit laws; Point process; Spatial statistics; U statistics

Indexed keywords


EID: 0345753537     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0001867800009770     Document Type: Article
Times cited : (4)

References (17)
  • 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. 7, 9-25.
    • (1989) Ann. Prob. , vol.7 , pp. 9-25
    • Arratia, R.1    Goldstein, L.2    Gordon, L.3
  • 3
    • 0000615546 scopus 로고
    • Poisson approximation for some statistics based on exchangeable trials
    • BARBOUR, A. D. AND EAGLESON, G. K. (1983). Poisson approximation for some statistics based on exchangeable trials. Adv. Appl. Prob. 15, 585-600.
    • (1983) Adv. Appl. Prob. , vol.15 , pp. 585-600
    • Barbour, A.D.1    Eagleson, G.K.2
  • 6
    • 84950437936 scopus 로고
    • Annealing Markov chain Monte Carlo with applications to ancestral inference
    • GEYER, C. J. AND THOMPSON, E. A. (1995). Annealing Markov chain Monte Carlo with applications to ancestral inference. J. Amer. Statist. Assoc. 90, 909-920.
    • (1995) J. Amer. Statist. Assoc. , vol.90 , pp. 909-920
    • Geyer, C.J.1    Thompson, E.A.2
  • 7
    • 0009089198 scopus 로고
    • Limit theorems for a triangular scheme of U-statistics with applications to inter-point distances
    • JAMMALAMADAKA, S. R. AND JANSON, S. (1986). Limit theorems for a triangular scheme of U-statistics with applications to inter-point distances. Ann. Prob. 14, 1347-1358.
    • (1986) Ann. Prob. , vol.14 , pp. 1347-1358
    • Jammalamadaka, S.R.1    Janson, S.2
  • 8
    • 0011622488 scopus 로고
    • Characterization and convergence of random measures and point processes
    • KALLENBERG, O. (1973). Characterization and convergence of random measures and point processes, Z. Wahrscheinlichkeitsth. 27, 9-21.
    • (1973) Z. Wahrscheinlichkeitsth. , vol.27 , pp. 9-21
    • Kallenberg, O.1
  • 10
    • 0346141040 scopus 로고
    • Generalized two-sample U-statistics and a two-species reaction-diffusion model
    • PENROSE, M. D. (1995). Generalized two-sample U-statistics and a two-species reaction-diffusion model. Stoch. Proc. Appl. 55, 57-64.
    • (1995) Stoch. Proc. Appl. , vol.55 , pp. 57-64
    • Penrose, M.D.1
  • 12
    • 0001602443 scopus 로고
    • Poisson limits for a clustering model of Strauss
    • SAUNDERS, R. AND FUNK, G. M. (1977). Poisson limits for a clustering model of Strauss. J. Appl. Prob. 14, 776-784.
    • (1977) J. Appl. Prob. , vol.14 , pp. 776-784
    • Saunders, R.1    Funk, G.M.2
  • 13
    • 0002002790 scopus 로고
    • Poisson limits for a hard-core clustering model
    • SAUNDERS, R., KRYSCIO, R. J. AND FUNK, G. M. (1982). Poisson limits for a hard-core clustering model. Stoch. Proc. Appl. 12, 97-106.
    • (1982) Stoch. Proc. Appl. , vol.12 , pp. 97-106
    • Saunders, R.1    Kryscio, R.J.2    Funk, G.M.3
  • 14
    • 0001611740 scopus 로고
    • Short distances, flat triangles and Poisson limits
    • SILVERMAN, B. AND BROWN, T. (1978). Short distances, flat triangles and Poisson limits. J. Appl. Prob. 15, 815-825.
    • (1978) J. Appl. Prob. , vol.15 , pp. 815-825
    • Silverman, B.1    Brown, T.2
  • 16
    • 0022904506 scopus 로고
    • On a general class of models for interaction
    • STRAUSS, D. (1986). On a general class of models for interaction. SIAM Rev. 28, 513-527.
    • (1986) SIAM Rev. , vol.28 , pp. 513-527
    • Strauss, D.1
  • 17
    • 36849104022 scopus 로고
    • New model for the study of liquid-vapor phase transitions
    • WIDOM, B. AND ROWLINSON, J. S. (1970). New model for the study of liquid-vapor phase transitions. J. Chem. Phys. 52, 1670-1684.
    • (1970) J. Chem. Phys. , vol.52 , pp. 1670-1684
    • Widom, B.1    Rowlinson, J.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.