TY - JOUR A2 - De Gregorio, Alessandro AU - Rerkruthairat, Nahathai PY - 2019 DA - 2019/02/03 TI - A Nonuniform Bound to an Independent Test in High Dimensional Data Analysis via Stein’s Method SP - 8641870 VL - 2019 AB - The Berry-Esseen bound for the random variable based on the sum of squared sample correlation coefficients and used to test the complete independence in high diemensions is shown by Stein’s method. Although the Berry-Esseen bound can be applied to all real numbers in R. ，一个实数的非均匀界限 Z. 通常提供较短的绑定如果 Z. 是固定的。在本文中，我们介绍了对于这种随机变量的正常近似的一个非均匀界的第一个版本，其具有最佳速率 1 / 0.5 + | Z. | · O. 1 / m 通过使用Stein的方法。SN - 1687-952X UR - https://doi.org/10.1155/2019/8641870 do - 10.1155 / 2019/8641870 jf - 概率与统计Pb - Hindawi Kw - Er -