| 两两NQD阵列加权和的L^r收敛性 |
| |
| 引用本文： | 章茜.两两NQD阵列加权和的L^r收敛性[J].杭州师范学院学报(自然科学版),2009,8(4):272-275. |
| |
| 作者姓名： | 章茜 |
| |
| 作者单位： | 杭州师范大学理学院,浙江杭州,310036 |
| |
| 摘 要： | 两两NQD列是一类非常广泛的随机变量列，后来的许多负关联列都是在此基础上繁衍出来的．该文讨论了零均值的行两两NQD阵列{Xm；1≤i≤kn↑∞，n∈N}在满足r（1≤r〈2）阶h-可积条件下的L^r收敛性，即：limEn→∞｜kn^-1/rSnkn｜^r=0，获得了与独立情形一致的结果，全面改进了陈平炎关于两两NQD随机序列L^r收敛性的工作．
|
| 关 键 词： | 两两NQD阵列 加权和 L^r 收敛性 h-可积 |
Lr Convergence for the Weighted Sums of Pairwise NQD Random Arrays |
| |
| ZHANG Qian.Lr Convergence for the Weighted Sums of Pairwise NQD Random Arrays[J].Journal of Hangzhou Teachers College(Natural Science),2009,8(4):272-275. |
| |
| Authors: | ZHANG Qian |
| |
| Institution: | ZHANG Qian (College of Science, Hangzhou Normal University, Hangzhou 310036, China) |
| |
| Abstract: | Pairwise NQD sequence is a class of random variable sequence, which is very widespread, many of the negative dependence sequences are derived from it later. In this paper, the author discusses the L^r convergence for the weighted sums of pairwise NQD random arrays under r-th h-integrability, that is： limEn→∞｜kn^-1/rSnkn｜^r=0, it is the same as that in the independent case. Thus, the results in the previous paper 5] are extended and fully improved. |
| |
| Keywords: | pairwise NQD random arrays weighted sums L^r convergence r-th h-integrability |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
