术语“Berry–Esseen定理”的详细信息

英译术语:

Berry-Esseen theorem

汉语语境:

在概率理论，中心极限定理指出，在某些情况下，一个随机样本的经缩放的平均值的概率分布收敛到正常分布的样本大小增大到无穷大。在强大的假设，Berry- Esseen定理，或Berry Esseen不平等，给人以更加定量的结果，因为它也规定，在此汇合发生通过为绑定上近似的最大误差正态分布和之间的比率缩放后的样本均值的真实分布。这种近似是由柯尔莫哥洛夫 - 斯米尔诺夫的距离测量。在独立样本的情况下，收敛速率是n-1/2，其中n为样本大小和常数估计在第三绝对归矩方面。

英语语境:

The center limit theorem in probability theory pointed out that in some cases, the probability distribution of the average scaling of a random sample convergence to the normal distribution of the sample size increases to infinity. The strong assumption, Berry - Esseen theorem, or Berry Esseen inequality, gives a person with more quantitative results, because it also determines the normal distribution of rendezvous occurred by binding on this approximate maximum error and the ratio of zoom after the real distribution of the sample mean. This kind of approximation is kolmogorov smirnov - distance measurement. In the case of independent sample, convergence rate is n - 1/2, where n is the constant estimation and sample size in the third absolute return moment.