Multivariate approximation in total variation, II: discrete normal approximation

2016/12/22 by Barbour, A. D., Luczak, Malwina J., Xia, Aihua · 1 citation
#60C05 #60J27 #FOS: Mathematics #Primary 62E17 #Probability (math.PR) #Secondary 62E20

paper · doi:10.48550/arxiv.1612.07519

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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• Convergence to equilibrium for density dependent Markov jump processes

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