메뉴 건너뛰기




Volumn 77, Issue 10, 2007, Pages 995-1003

The pair correlation function of spatial Hawkes processes

Author keywords

Bartlett spectrum; Hawkes process; Pair correlation function; Spatial point processes; Summary statistics; Unpredictable marks

Indexed keywords


EID: 34247097909     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2007.01.007     Document Type: Article
Times cited : (10)

References (17)
  • 1
    • 31944437906 scopus 로고    scopus 로고
    • Power spectra of random spike field and related processes
    • Brémaud P., Massoulié L., and Ridolfi A. Power spectra of random spike field and related processes. Adv. Appl. Probab. 37 (2005) 1116-1146
    • (2005) Adv. Appl. Probab. , vol.37 , pp. 1116-1146
    • Brémaud, P.1    Massoulié, L.2    Ridolfi, A.3
  • 2
    • 0035998677 scopus 로고    scopus 로고
    • Rate of convergence to equilibrium of marked Hawkes processes
    • Brémaud P., Nappo G., and Torrisi G.L. Rate of convergence to equilibrium of marked Hawkes processes. J. Appl. Probab. 39 (2002) 123-136
    • (2002) J. Appl. Probab. , vol.39 , pp. 123-136
    • Brémaud, P.1    Nappo, G.2    Torrisi, G.L.3
  • 3
    • 0036339976 scopus 로고    scopus 로고
    • Spatio-temporal modeling of weeds and shot-noise G Cox processes
    • Brix A., and Chadoeuf J. Spatio-temporal modeling of weeds and shot-noise G Cox processes. Biometrical J. 44 (2002) 83-99
    • (2002) Biometrical J. , vol.44 , pp. 83-99
    • Brix, A.1    Chadoeuf, J.2
  • 4
    • 0035457521 scopus 로고    scopus 로고
    • Space-time multitype log Gaussian Cox processes with a view to modelling weed data
    • Brix A., and Møller J. Space-time multitype log Gaussian Cox processes with a view to modelling weed data. Scand. J. Statist. 28 (2001) 471-488
    • (2001) Scand. J. Statist. , vol.28 , pp. 471-488
    • Brix, A.1    Møller, J.2
  • 5
    • 34247133883 scopus 로고    scopus 로고
    • Daley, D.J., Vere-Jones, D., 2003. An Introduction to the Theory of Point Processes, Vol. I: Elementary Theory and Methods, second ed. Springer, New York.
  • 6
    • 0002920216 scopus 로고
    • Point spectra of some mutually exciting point processes
    • Hawkes A.G. Point spectra of some mutually exciting point processes. J. Roy. Statist. Soc. Ser. B 33 (1971) 438-443
    • (1971) J. Roy. Statist. Soc. Ser. B , vol.33 , pp. 438-443
    • Hawkes, A.G.1
  • 7
    • 0002920214 scopus 로고
    • Spectra of some self-exciting and mutually exciting point processes
    • Hawkes A.G. Spectra of some self-exciting and mutually exciting point processes. Biometrika 58 (1971) 83-90
    • (1971) Biometrika , vol.58 , pp. 83-90
    • Hawkes, A.G.1
  • 8
    • 0001915688 scopus 로고
    • Spectra of some mutually exciting point processes with associated variables
    • Lewis P.A.W. (Ed), Wiley, New York
    • Hawkes A.G. Spectra of some mutually exciting point processes with associated variables. In: Lewis P.A.W. (Ed). Stochastic Point Processes (1972), Wiley, New York 261-271
    • (1972) Stochastic Point Processes , pp. 261-271
    • Hawkes, A.G.1
  • 9
    • 0001446567 scopus 로고
    • A cluster representation of a self-exciting process
    • Hawkes A.G., and Oakes D. A cluster representation of a self-exciting process. J. Appl. Probab. 11 (1974) 493-503
    • (1974) J. Appl. Probab. , vol.11 , pp. 493-503
    • Hawkes, A.G.1    Oakes, D.2
  • 10
    • 27144475437 scopus 로고    scopus 로고
    • Perfect simulation of Hawkes processes
    • Møller J., and Rasmussen J.G. Perfect simulation of Hawkes processes. Adv. Appl. Probab. 37 (2005) 629-646
    • (2005) Adv. Appl. Probab. , vol.37 , pp. 629-646
    • Møller, J.1    Rasmussen, J.G.2
  • 12
    • 34247117751 scopus 로고    scopus 로고
    • Møller, J., Torrisi, G.L., 2005. Second order analysis for spatial Hawkes processes. Technical Report R-2005-20, Department of Mathematical Sciences, Aalborg University.
  • 14
    • 36749004370 scopus 로고    scopus 로고
    • Møller, J., Waagepetersen, R.P., 2007. Modern statistics for spatial point processes (with discussion). Scandinavian Journal of Statistics, to appear.
  • 15
    • 0002152614 scopus 로고    scopus 로고
    • A practical guide to the spectral analysis of spatial point processes
    • Mugglestone M.A., and Renshaw E. A practical guide to the spectral analysis of spatial point processes. Comput. Statist. Data Anal. 21 (1996) 43-65
    • (1996) Comput. Statist. Data Anal. , vol.21 , pp. 43-65
    • Mugglestone, M.A.1    Renshaw, E.2
  • 16


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.