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首页> 外文期刊>Journal of Multivariate Analysis: An International Journal >A Multivariate CLT for Local Dependence withn n1/2 log nRate and Applications to Multivariate Graph Related Statistics
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A Multivariate CLT for Local Dependence withn n1/2 log nRate and Applications to Multivariate Graph Related Statistics

机译:具有n1 / 2 log nRate的局部依赖性的多元CLT及其在多元图相关统计中的应用

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摘要

This paper concerns the rate of convergence in the central limit theorem for certain local dependence structures. The main goal of the paper is to obtain estimates of the rate in the multidimensional case. Certain one-dimensional results are also improved by using some more flexible characteristics of dependence. Assuming the summands are bounded, we obtain rates close to those for independent variables. As an application we study the rate of the normal approximation of certain graph related statistics which arise in testing equality of several multivariate distributions.
机译:本文涉及某些局部依赖结构在中心极限定理中的收敛速度。本文的主要目标是获得多维情况下速率的估计。通过使用一些更灵活的依赖特性,某些一维结果也得到了改善。假设加数是有界的,我们得到的比率接近自变量的比率。作为一种应用,我们研究了某些图相关统计量的正态近似率,该统计率在检验多个多元分布的相等性时出现。

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