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The law of thin processes: a law of large numbers for point processes
Matthew Aldridge · 2025-02-21 · via math.PR updates on arXiv.org

If you take a superposition of n IID copies of a point process and thin that by a factor of 1/n, then the resulting process tends to a Poisson point process as n tends to infinity. We give a simple proof of this result that highlights its similarity to the law of large numbers and to the law of thin numbers of Harremoës et al.

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