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arXiv · 1612.07519

Multivariate approximation in total variation, II: discrete normal approximation

A. D. Barbour·Malwina J. Luczak·Aihua Xia
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Abstract

The paper applies the theory developed in Part I to the discrete normal approximation in total variation of random vectors in ${\mathbb Z}^d$. 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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A. D. Barbour, Malwina J. Luczak, Aihua Xia. 2016-12-22. Multivariate approximation in total variation, II: discrete normal approximation. https://arxiv.org/abs/1612.07519

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