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Multivariate approximation in total variation, II: Discrete normal approximation


Barbour, A D; Luczak, M J; Xia, A (2018). Multivariate approximation in total variation, II: Discrete normal approximation. The Annals of Probability, 46(3):1405-1440.

Abstract

The paper applies the theory developed in Part I to the discrete normal approximation in total variation of random vectors in Zd. We illustrate the use of the method for sums of independent integer valued random vectors, and for random vectors exhibiting an exchangeable pair. We conclude with an application to random colourings of regular graphs.

Abstract

The paper applies the theory developed in Part I to the discrete normal approximation in total variation of random vectors in Zd. We illustrate the use of the method for sums of independent integer valued random vectors, and for random vectors exhibiting an exchangeable pair. We conclude with an application to random colourings of regular graphs.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:1 May 2018
Deposited On:15 Nov 2018 13:53
Last Modified:16 Nov 2018 09:18
Publisher:Institute of Mathematical Statistics
ISSN:0091-1798
OA Status:Green
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1214/17-aop1205
Official URL:https://projecteuclid.org/euclid.aop/1523520020

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