Asymptotics of Superposition of Point Processes

نویسندگان

  • Laurent Decreusefond
  • Aurélien Vasseur
چکیده

The characteristic independence property of Poisson point processes gives an intuitive way to explain why a sequence of point processes becoming less and less repulsive can converge to a Poisson point process. The aim of this paper is to show this convergence for sequences built by superposing repulsive point processes. We use Papangelou intensities and Stein’s method to prove this result with a topology based on total variation distance.

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تاریخ انتشار 2015