MULTIVARIATE APPROXIMATION IN TOTAL VARIATION, II: DISCRETE NORMAL APPROXIMATION

• 成果类型: Article
• 署名作者: Barbour, A. D.; Luczak, M. J.; Xia, A.
• 署名单位: University of Zurich; University of London; Queen Mary University London; University of Melbourne
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/17-AOP1205
• 发表日期: 2018
• 页码: 1405-1440
• 关键词: steins method; CONVERGENCE; dependence; statistics; clt

摘要

The paper applies the theory developed in Part I to the discrete normal approximation in total variation of random vectors in 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.