| NA序列的重对数矩收敛的精确渐近性 |
| |
| 引用本文： | 张亚运,吴群英.NA序列的重对数矩收敛的精确渐近性[J].数学学报,2018,61(3):403-410. |
| |
| 作者姓名： | 张亚运 吴群英 |
| |
| 作者单位： | 桂林理工大学理学院 桂林 541006 |
| |
| 基金项目： | 国家自然科学基金资助项目（11361019）；广西自然科学基金资助项目（2015GXNSFAA139008） |
| |
| 摘 要： | 假设{X_n,n≥1}为一列严平稳的NA随机变量,期望为零,方差有限.设S_n=∑_(i=1)~n∑X_i,M_n=max_(1≤i≤n)|S_i|.在适当的条件下,得到了一类NA序列部分和部分和最大值重对数矩收敛的精确渐近性.
|
Precise Asymptotics in the Law of Iterated Logarithm for the Moment Convergence of NA Random Variables |
| |
| Ya Yun ZHANG,Qun Ying WU.Precise Asymptotics in the Law of Iterated Logarithm for the Moment Convergence of NA Random Variables[J].Acta Mathematica Sinica,2018,61(3):403-410. |
| |
| Authors: | Ya Yun ZHANG Qun Ying WU |
| |
| Institution: | College of Science, Guilin University of Technology, Guilin 541006, P. R. China |
| |
| Abstract: | Let {Xn,n ≥ 1} be a sequence of strictly stationary NA random variables and set Sn=∑i=1nXi,Mn=max1 ≤ i ≤ n|Si|. Under some proper conditions, the precise asymptotics in the law of iterated logarithm for the moment convergence of NA random variables of the partial sum and the maximum of the partial sum are obtained. |
| |
| Keywords: | NA random variables the law of iterated logarithm precise asymptotics moment convergence |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
|
