Rui-Ray Zhang

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math.PR2025

Extremal independence in discrete random systems

Mikhail Isaev, Igor Rodionov, Rui-Ray Zhang +1

Let $X (n) \in R^{d}$ be a sequence of random vectors, where $n \in N$ and $d = d (n)$ . Under certain weakly dependence conditions, we prove that the distribut…

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…