- Abstract:
-
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 ...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.1239/jap/1276784898
-
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- Journal:
- JOURNAL OF APPLIED PROBABILITY
- Volume:
- 47
- Issue:
- 2
- Pages:
- 378-393
- Publication date:
- 2010-06-05
- DOI:
- ISSN:
-
0021-9002
- URN:
-
uuid:f36aca6b-6d46-477a-be92-52adc46c0fe9
- Source identifiers:
-
97510
- Local pid:
- pubs:97510
- Language:
- English
- Keywords:
- Copyright date:
- 2010
Journal article
RANDOM SUBGRAPH COUNTS AND U-STATISTICS: MULTIVARIATE NORMAL APPROXIMATION VIA EXCHANGEABLE PAIRS AND EMBEDDING
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