Multivariate approximation in total variation, II: discrete normal approximation
Probability
2016-12-23 v1
Abstract
The paper applies the theory developed in Part I to the discrete normal approximation in total variation of random vectors in . 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.
Cite
@article{arxiv.1612.07519,
title = {Multivariate approximation in total variation, II: discrete normal approximation},
author = {A. D. Barbour and Malwina J. Luczak and Aihua Xia},
journal= {arXiv preprint arXiv:1612.07519},
year = {2016}
}
Comments
arXiv:1512.07400 has been split into two parts: this is Part II