标准化样本均值渐近正态性的充要条件
概率论
2017-10-23 v1
摘要
由平面上具有同分布坐标的平方可积独立随机向量构成的无穷序列所构造的标准化样本均值的双序列，其联合渐近正态的充要条件是，交叉样本相关系数序列的Cesaro均值收敛于0。
引用
@article{arxiv.1710.07275,
title = {Necessary and Sufficient Condition for Asymptotic Normality of Standardized Sample Means},
author = {Rajeshwari Majumdar and Suman Majumdar},
journal= {arXiv preprint arXiv:1710.07275},
year = {2017}
}
备注
arXiv admin note: text overlap with arXiv:1612.01668