The law of thin processes: a law of large numbers for point processes
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914256410116096 |
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| author | Aldridge, Matthew |
| author_facet | Aldridge, Matthew |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_14839 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The law of thin processes: a law of large numbers for point processes Aldridge, Matthew Probability 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. |
| title | The law of thin processes: a law of large numbers for point processes |
| topic | Probability |
| url | https://arxiv.org/abs/2502.14839 |