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The law of thin processes: A law of large numbers for point processes

Matthew Aldridge

Statistics & Probability Letters2026https://doi.org/10.1016/j.spl.2026.110653preprint
AJG 2ABDC B
Weight
0.37

What the paper says

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 process as n → ∞ . 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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https://doi.org/https://doi.org/10.1016/j.spl.2026.110653

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@article{matthew2026,
  title        = {{The law of thin processes: A law of large numbers for point processes}},
  author       = {Matthew Aldridge},
  journal      = {Statistics & Probability Letters},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1016/j.spl.2026.110653},
}

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The law of thin processes: A law of large numbers for point processes

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Evidence weight

0.37

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.16 × 0.4 = 0.06
M · momentum0.53 × 0.15 = 0.08
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

† Text relevance is estimated at 0.50 on the detail page — for your query’s actual relevance score, open this paper from a search result.