U-statistics and random subgraph counts: Multivariate normal approximation via exchangeable pairs and embeddingReport as inadecuate



 U-statistics and random subgraph counts: Multivariate normal approximation via exchangeable pairs and embedding


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In a recent paper by the authors, a new approach-called the -embedding method-was introduced, which allows to make use of exchangeable pairs for normal and multivariate normal approximation with Steins method in cases where the corresponding couplings do not satisfy a certain linearity condition. The key idea is to embed the problem into a higher dimensional space in such a way that the linearity condition is then satisfied. Here we apply the embedding to U-statistics as well as to subgraph counts in random graphs.



Author: Gesine Reinert; Adrian Röllin

Source: https://archive.org/







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