Multivariate approximation in total variation, II: discrete normal approximation

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.

arXiv:1512.07400 has been split into two parts: this is Part II

References in corpus (1)

• Discretized normal approximation by Stein's method

Cited by in corpus (1)

• Multivariate approximation in total variation, I: equilibrium distributions of Markov jump processes