U-statistics and random subgraph counts: Multivariate normal approximation via exchangeable pairs and embedding
Year: 2009
Type: preprint
Abstract: 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 Stein's 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.
Source: arXiv (Cornell University)
Authors: Reinert, Gesine, Röllin, Adrian
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1806629119