Multivariate Poisson approximation of joint subgraph counts in random graphs via size-biased couplings
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916577013661696 |
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| author | Nualart, Eulalia Zhang, Rui-Ray |
| author_facet | Nualart, Eulalia Zhang, Rui-Ray |
| contents | Using Chen-Stein method in combination with size-biased couplings, we obtain the multivariate Poisson approximation in terms of the Wasserstein distance. As applications, we study the multivariate Poisson approximation of the distribution of joint subgraph counts in an Erdős-Rényi random graph and the multivariate hypergeometric distribution giving explicit convergence rates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_11180 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multivariate Poisson approximation of joint subgraph counts in random graphs via size-biased couplings Nualart, Eulalia Zhang, Rui-Ray Probability Using Chen-Stein method in combination with size-biased couplings, we obtain the multivariate Poisson approximation in terms of the Wasserstein distance. As applications, we study the multivariate Poisson approximation of the distribution of joint subgraph counts in an Erdős-Rényi random graph and the multivariate hypergeometric distribution giving explicit convergence rates. |
| title | Multivariate Poisson approximation of joint subgraph counts in random graphs via size-biased couplings |
| topic | Probability |
| url | https://arxiv.org/abs/2501.11180 |