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This Work, Asymptotics of superposition of point processes, by Laurent Decreusefond is licensed under a Creative Commons Attribution-ShareAlike 4.0 International license.

Asymptotics of superposition of point processes


Asymptotics of superposition of point processes
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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, thinning or rescaling determinantal 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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Asymptotics of superposition of point processes
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