Random subgraph counts and U-statistics: multivariate normal approximation via exchangeable pairs and embedding
Keyword(s):
In Reinert and Röllin (2009) a new approach - called the ‘embedding method’ - was introduced, which allows us to make use of exchangeable pairs for normal and multivariate normal approximations 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.
2010 ◽
Vol 47
(2)
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pp. 378-393
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1996 ◽
Vol 33
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pp. 1-17
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2015 ◽
Vol 12
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pp. 1550036
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2018 ◽
Vol 2
(2)
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pp. 168-186
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