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math.PR2025
Multivariate Poisson approximation of joint subgraph counts in random graphs via size-biased couplings
Eulalia Nualart, Rui-Ray Zhang
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…
math.PR2021★ 1 cited
When Janson meets McDiarmid: Bounded difference inequalities under graph-dependence
Rui-Ray Zhang
We establish concentration inequalities for Lipschitz functions of dependent random variables, whose dependencies are specified by forests. We also give concentration results for d…