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|Title:||Multivariate normal approximation with stein's method of exchangeable pairs under a general linearity condition|
Multivariate normal approximation
|Source:||Reinert, G., Röllin, A. (2009-11). Multivariate normal approximation with stein's method of exchangeable pairs under a general linearity condition. Annals of Probability 37 (6) : 2150-2173. ScholarBank@NUS Repository. https://doi.org/10.1214/09-AOP467|
|Abstract:||In this paper we establish a multivariate exchangeable pairs approach within the framework of Stein's method to assess distributional distances to potentially singular multivariate normal distributions. By extending the statistics into a higher-dimensional space, we also propose an embedding method which allows for a normal approximation even when the corresponding statistics of interest do not lend themselves easily to Stein's exchangeable pairs approach. To illustrate the method, we provide the examples of runs on the line as well as double-indexed permutation statistics. © Institute of Mathematical Statistics, 2009.|
|Source Title:||Annals of Probability|
|Appears in Collections:||Staff Publications|
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