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Mixture formulae for shot noise weighted point processes

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  • Gregori, P.
  • van Lieshout, M. N. M.
  • Mateu, J.
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    Abstract

    We investigate the connections between shot noise weighted and bivariate Gibbs point processes.

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    File URL: http://www.sciencedirect.com/science/article/B6V1D-4BYWS18-3/2/1eb8cc2227fc59f5dd4d1e6177f1667d
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    Bibliographic Info

    Article provided by Elsevier in its journal Statistics & Probability Letters.

    Volume (Year): 67 (2004)
    Issue (Month): 4 (May)
    Pages: 311-320

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    Handle: RePEc:eee:stapro:v:67:y:2004:i:4:p:311-320

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    Related research

    Keywords: Influence function Multivariate point processes Potential function Shot noise weighted point processes;

    References

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    1. A. Baddeley & M. Lieshout, 1995. "Area-interaction point processes," Annals of the Institute of Statistical Mathematics, Springer, vol. 47(4), pages 601-619, December.
    2. Ferrari, Pablo A. & Fernández, Roberto & Garcia, Nancy L., 2002. "Perfect simulation for interacting point processes, loss networks and Ising models," Stochastic Processes and their Applications, Elsevier, vol. 102(1), pages 63-88, November.
    3. Jean-Michel Billiot, 2001. "An Estimation Method of the Pair Potential Function for Gibbs Point Processes on Spheres," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics & Finnish Statistical Society & Norwegian Statistical Association & Swedish Statistical Association, vol. 28(1), pages 185-203.
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    Cited by:
    1. Renshaw, Eric & Mateu, Jorge & Saura, Fuensanta, 2007. "Disentangling mark/point interaction in marked-point processes," Computational Statistics & Data Analysis, Elsevier, vol. 51(6), pages 3123-3144, March.

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