Publication: Multivariate approximation in total variation, II: Discrete normal approximation
Multivariate approximation in total variation, II: Discrete normal approximation
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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. https://doi.org/10.1214/17-aop1205
Abstract
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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 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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- Barbour, A D
- Luczak, M J
- Xia, A
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Citations
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. https://doi.org/10.1214/17-aop1205
