























Suppose $n$ independent random variables $X_1, X_2, \dots, X_n$ have zero mean and equal variance. We prove that if the average of $χ^2$ distances between these variables and the normal distribution is bounded by a sufficiently small constant, then the $χ^2$ distance between their normalized sum and the normal distribution is $O(1/n)$.
此内容由惯性聚合(RSS阅读器)自动聚合整理,仅供阅读参考。 原文来自 — 版权归原作者所有。