On the convergence of interacting particle systems to the poisson process

Author:

Papangelou F.

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis,General Mathematics,Statistics and Probability,Analysis

Reference15 articles.

1. Bourbaki, N.: Topologie générale, Chap. 9, Utilisation des nombres réels en topologie générale, 21èmeéd. Paris: Hermann 1958

2. Dobrushin, R.L.: On Poisson laws of distributions of particles in space (in Russian). Ukrain. Mat. ?urn. 8, 127?134 (1956)

3. Harris, T.E.: Random measures and motions of point processes. Z. Wahrscheinlichkeitstheorie verw. Gebiete 18, 85?115 (1971)

4. Jacobs, P.A.: A Poisson convergence theorem for a particle system with dependent constant velocities. Stoch. Proc. Appl. 6, 41?52 (1977)

5. Kallenberg, O.: Random measures. Berlin-London: Akademie-Verlag and Academic Press 1976

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1. Stein's method and point process approximation;Stochastic Processes and their Applications;1992-11

2. Hitting spheres by straight-line motion or Brownian motion;Journal of Applied Probability;1984-03

3. Hitting spheres by straight-line motion or Brownian motion;Journal of Applied Probability;1984-03

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