论文标题
庞加莱的不平等和加权总和的正常近似
Poincaré Inequalities and Normal Approximation for Weighted Sums
论文作者
论文摘要
在庞加莱型条件下，探索了上限的上限，以介于依赖求和的加权总和与正常定律之间的分布之间的距离。基于改善高维欧几里德球体的浓度不平等，结果扩展并改进了对非对称模型的先前结果。
Under Poincaré-type conditions, upper bounds are explored for the Kolmogorov distance between the distributions of weighted sums of dependent summands and the normal law. Based on improved concentration inequalities on high-dimensional Euclidean spheres, the results extend and refine previous results to non-symmetric models.
