总变差的多元近似，II:离散正态近似

IF 2.1 1区数学 Q1 STATISTICS & PROBABILITY

Annals of Probability Pub Date : 2016-12-22 DOI:10.1214/17-AOP1205

A. Barbour, M. Luczak, A. Xia

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引用次数: 17

摘要

本文将第一部分的理论应用于${\mathbb Z}^d$中随机向量的总变分的离散正态逼近。我们举例说明了独立整数值随机向量和的方法的使用，以及表现出可交换对的随机向量。最后给出正则图随机着色的一个应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Multivariate approximation in total variation, II: Discrete normal approximation

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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来源期刊

Annals of Probability 数学-统计学与概率论

CiteScore

4.60

自引率

8.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The Annals of Probability publishes research papers in modern probability theory, its relations to other areas of mathematics, and its applications in the physical and biological sciences. Emphasis is on importance, interest, and originality – formal novelty and correctness are not sufficient for publication. The Annals will also publish authoritative review papers and surveys of areas in vigorous development.