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Mixture formulae for shot noise weighted point processes

Author

Listed:
  • Gregori, P.
  • van Lieshout, M. N. M.
  • Mateu, J.

Abstract

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

Suggested Citation

  • Gregori, P. & van Lieshout, M. N. M. & Mateu, J., 2004. "Mixture formulae for shot noise weighted point processes," Statistics & Probability Letters, Elsevier, vol. 67(4), pages 311-320, May.
    • Handle: RePEc:eee:stapro:v:67:y:2004:i:4:p:311-320
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    References listed on IDEAS

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    1. A. Baddeley & M. Lieshout, 1995. "Area-interaction point processes," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 47(4), pages 601-619, December.
    2. Jean‐Michel Billiot & Michel Goulard, 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, March.
    3. 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.
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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.
    2. Nicolas Picard & Avner Bar‐Hen & Frédéric Mortier & Joël Chadœuf, 2009. "The Multi‐scale Marked Area‐interaction Point Process: A Model for the Spatial Pattern of Trees," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 36(1), pages 23-41, March.

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